Quantitative sociodynamics: Stochastic methods and models of social interaction processes

Quantitative Sociodynamics: Stochastic Methods and Models of Social Interaction Processes

Volumn , Issue , 2010, Pages 1-333

  Helbing, Dirk ^a  

^a ETH ZURICH   (Switzerland)

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[No Author keywords available]

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EID: 84891390233     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-642-11546-2     Document Type: Book

References (404)

1. Aguda BD, Larter R, Clarke BL (1989) Dynamic elements of mixed-mode oscillations and chaos in a peroxidase-oxidase model network. J Chem Phys 90(8):4168-4175
2. Allen P (1976) Population dynamics and evolution. In: Jantsch E, Waddington CH (eds) Evolution and consciousness. Human systems in transition. Addison-Wesley, Reading, MA
3. Allen PM, Engelen G, Sanglier M (1986) Towards a general dynamic model of the spatial evolution of urban systems. In: Hutchinson B, Batty M (eds) Advances in urban systems modelling. Elsevier, Amsterdam
4. Allen PM, Sanglier M (1979) A dynamic model of a central place system. Geogr Anal 11:256ff
5. Allen PM, Sanglier M (1981) Urban evolution, self-organization and decision making. Environ Plan A 13:167
6. Allen PM, Sanglier M, Engelen G, Boon F (1984) Evolutionary spatial models of urban and regional systems. Sistemi Urbani 1
7. Arneodo A, Coullet P, Tresser C (1980) Occurrence of strange attractors in three-dimensional Volterra equations. Phys Lett A 79(4):259-263
8. Arnold L, Lefever R (eds) (1981) Stochastic nonlinear systems in physics, chemistry and biology. Springer, Berlin
9. Arthur B (1989) Competing technologies, increasing returns, and lock-in by historical events. Econ J 99:116-131
10. Ashcroft NW, Mermin ND (1976) Solid state physics. Holt-Saunders, Tokyo, pp 715-718
11. Atkins PW (1986) Physical chemistry, Chaps. 28, 29, 3rd edn. Oxford University Press, Oxford
12. Axelrod R (1984) The evolution of cooperation. Basic Books, New York, NY
13. Axelrod R, Dion D (1988) The further evolution of cooperation. Science 242:1385-1390
14. Babloyantz A, Destexhe A (1987) Strange attractors in the human cortex. In: Rensing L, van der Heiden U, Mackey MC (eds) Temporal disorder in human oscillatory systems. Springer, Heidelberg
15. Babloyantz A, Nicolis C, Salazar M (1985) Evidence of chaotic dynamics of brain activity during the sleep cycle. Phys Lett A 111:152
16. Bai-Lin H (ed) (1984) Chaos. World Scientific, Singapore
17. Barnsley M (1988) Fractals everywhere. Academic Press, Boston
18. Bartholomew DJ (1967) Stochastic models for social processes. Wiley, London
19. Beightler CS, Phillips DT, Wilde DJ (1979) Foundations of optimization, 2nd edn. Prentice-Hall, Englewood Cliffs, NJ, pp 220-223, 228-233
20. Berberian SK (1992) Linear algebra. Oxford University Press, Oxford
21. Bernoulli D (1954) Specimen theorae norae de mensura sortis. Econometrica 22:23-26 (trans: Sommer L)
22. Von Bertalanffy L (1968) General system theory. Braziller, New York, NY
23. Binder K (ed) (1979) Monte Carlo methods in statistical physics, Chap. 1.3.1: Various Monte Carlo realizations of the same master equation. Springer, Berlin.
24. Binney JJ, Dowrick NJ, Fisher AJ, Newman M E J (1992) The theory of critical phenomena, Chap. 6: Mean-field theory. Clarendon Press, Oxford
25. Bogoliubov NN (1962) In: Uhlenbeck GE, deBoer J (eds) Studies in statistical mechanics, vol 1. North-Holland, Amsterdam
26. Boltzmann L (1964) Lectures on gas theory. University of California, Berkeley, CA
27. Brand H, Schenzle A (1981) Exactly soluble multidimensional Fokker-Planck equations with nonlinear drift. Phys Lett A 81(6):321-325
28. Braun M (1983) Differential equations and their applications, Chap. 3.10: Equal roots, 3rd edn. Springer, Berlin
29. Braun N (1993) Socially embedded exchange. Lang, Frankfurt/Main
30. Brehm JW (1966) A theory of psychological reactance. Academic Press, New York, NY
31. Brehm JW (1972) Responses to loss of freedom: a theory of psychological reactance. General Learning Press, Morristown, NJ
32. Brehm SS (1976) The application of social psychology to clinical practice. Wiley, New York, NY
33. Buckley W (1967) Sociology and modern systems theory. Prentice-Hall, Englewood Cliffs, NJ
34. Burns J (1973) Application of control theory to system dynamics models of social systems. PhD thesis, Purdue University
35. Burnstein E (1967) Sources of cognitive bias in the representation of simple social structures: balance, minimal change, positivity, reciprocity, and the respondent's own attitude. J Pers Soc Psychol 7:36-48
36. Burt RS (1982) Towards a structural theory of action: network models of social structure, perception and action. Academic Press, New York, NY
37. Cartwright D, Harary F (1956) Structural balance: a generalization of Heider's theory. Psychol Rev 63:277-293
38. Chapman S, Cowling TG (1970) The mathematical theory of non-uniform gases, 3rd edn. Cambridge University Press, New York, NY
39. Christaller W (1980) Die zentralen Orte in Süddeutschland. Wissenschaftliche Buchgesellschaft, Darmstadt, p 71
40. Cohen E G D (1968) The kinetic theory of dense gases. In: Cohen EGD (ed) Fundamental problems in statistical mechanics II. Wiley, New York, NY
41. Cohen E G D (1969) The kinetic theory of moderately dense gases. In: Hanley HJM (ed) Transport phenomena in fluids. Dekker, New York, NY
42. Coleman J (1973) The mathematics of collective action. Heinemann Educational Books, London
43. Coleman JS (1964) Introduction to mathematical sociology. The Free Press of Glencoe, New York, NY
44. Coleman JS (1990) Foundations of social theory. Belknap (Harvard University), Cambridge, MA
45. Collet P, Eckmann J-P (1980) Iterated maps on the interval as dynamical systems. Birkhäuser, Basel
46. Colman AM (1984) Game theory and experimental games. Pergamon Press, Oxford
47. Czerwon H-J, der R, Haberlandt R (1977) Quantum statistical theory of chemical reactions. I. General formulation and lowest-order results. Mol Phys 33(6):1743-1756
48. Daly AJ, Zachary S (1978) Improved multiple choice models. In: Hensher DA, Dalvi MQ (eds) Determinants of travel choice. Saxon House, Westmead
49. Davydov AS (1976) Quantum mechanics, § 75: Self-consistent Hartree-Fock field, 2nd edn. Pergamon Press, Oxford
50. Diekmann A (1992) The log-logistic distribution as a model for social diffusion processes. J Sci Ind Res 51:285-290
51. Diekmann A, Mitter P (eds) (1984) Stochastic modelling of social processes. Academic Press, Orlando, FL
52. Dinkel RH (1989) Landtagswahlen unter dem Einfluß der Bundespolitik: Die Erfahrungen der letzten Legislaturperioden. In: Falter JW, Rattinger H, Troitzsch KG (eds) Wahlen und politische Einstellungen. Lang, Frankfurt/Main
53. Domencich TA, McFadden D (1975) Urban travel demand. A behavioral analysis. North-Holland, Amsterdam, pp 61-69
54. Dorfman JR (1981) In: Raveché HJ (ed). Perspectives in statistical physics. North-Holland, Amsterdam
55. Douglas PH (1934) The theory of wages. Macmillan, New York, NY, pp 132-135
56. Ebeling W (1991) Dynamics of competition and valuation in non-physical systems. In: Sydow A (ed) Handbook on computational systems analysis. Elsevier, Amsterdam
57. Ebeling W (1991) Stochastic models of competition processes in non-physical systems. Syst Anal Model Simul 8:3
58. Ebeling W, Engel A, Feistel R (1990) Physik der Evolutionsprozesse. Akademie, Berlin
59. Ebeling W, Jiménez-Montaño MA, Bruckner E, Scharnhorst A (1992) A stochastic model of technological evolution. In: Haag G, Mueller U, Troitzsch KG (eds) Economic evolution and demographic change. Formal models in social sciences. Springer, Berlin
60. Eigen M (1971) The self-organization of matter and the evolution of biological macromolecules. Naturwissenschaften 58:465
61. Eigen M, Schuster P (1979) The hypercycle. Springer, Berlin
62. Eiselt HA, Pederzoli G, Sandblom C-L (1987) Continuous optimization models, Chap. 2.2.1: The gradient (steepest descent) method. De Gruyter, Berlin
63. Empacher N (1992) Die Wegintegrallösung der Mastergleichung. PhD thesis, University of Stuttgart
64. Enskog D (1917) The kinetic theory of phenomena in fairly rare gases. PhD thesis, Uppsala
65. Erdmann G, Fritsch B (Jul. 1985) Synergismen in Parteiensystemen. Arbeitspapiere. Institut für Wirschaftsforschung, Eidgenössische Technische Hochschule Zürich
66. Fano U (1957) Description of states in quantum mechanics by density matrix and operator techniques. Rev Modern Phys 29(1):74-93
67. Fechner GT (1860) Elemente der Psychophysik. Druck und Verlag von Breitkopf und Hartel, Leipzig
68. Feger H (ed) (1977) Studien zur intraindividuellen Konfliktforschung. Huber, Bern
69. Feger H (1978) Konflikterleben und Konfliktverhalten. Huber, Bern
70. Feigenbaum MJ (1978) Quantitative universality for a class of nonlinear transformations. J Stat Phys 19(1):25-52
71. Feigenbaum MJ (1979) The universal metric properties of nonlinear transformations. J Stat Phys 21(6):669-706
72. Feistel R, Ebeling W (1989) Evolution of complex systems. Kluwer Academic, Dordrecht
73. Felsager B (1981) Geometry, particles and fields, Chap. 2.4: Path integrals-the Feynman propagator. Odense University Press, Odense
74. Festinger L (1957) A theory of cognitive dissonance. Row & Peterson, Evanston, IL
75. Feynman RP (1948) Space-time approach to non-relativistic quantum mechanics. Rev Mod Phys 20(2):367-387
76. Fick E, Sauermann G (1990) The quantum statistics of dynamic processes. Springer, Berlin, pp 287-289, 377
77. Fishbein M, Ajzen I (1975) Belief, attitude, intention and behavior: an introduction to theory and research. Addison-Wesley, Reading, MA
78. Fisher RA (1930) The genetical theory of natural selection. Oxford University Press, Oxford
79. Fokker AD (1914) Die mittlere Energie rotierender elektrischer Dipole im Strahlungsfeld. Annalen der Physik 348:810-820
80. Forsythe GE, Malcolm MA, Moler CB (1977) Computer methods for mathematical computations. Prentice-Hall, Englewood Cliffs, NJ
81. Freund JE (1988) Modern elementary statistics, 7th edn. Prentice-Hall, Englewood Cliffs, NJ
82. Freund JE (1992) Mathematical statistics, 5th edn. Prentice-Hall, Englewood Cliffs, NJ
83. Gang H (1989) Solvable model of the Fokker-Planck equation without detailed balance. Phys Rev A 39(3):1286-1292
84. Gardiner CW (1985) Handbook of stochastic methods, 2nd edn. Springer, Berlin
85. Gardiner CW, McNeil KJ, Walls DF, Matheson IS (1976) Correlations in stochastic theories of chemical reactions. J Stat Phys 14(4):307-331
86. Garrido L, Masoliver J (1982) On a class of exact solutions to the Fokker-Planck equations. J Math Phys 23(6):1155-1158
87. Geest T, Olsen LF, Steinmetz CG, Larter R, Schaffer WM (1993) Nonlinear analyses of periodic and chaotic time series from the peroxidase-oxidase reaction. J Phys Chem 97:8431-8441
88. Gelb A (ed) (1974) Applied optimal estimation, Chap. 6.3: Nonlinear least-squares estimation. MIT Press, Cambridge, MA
89. Glance N, Hogg T, Huberman BA (1991) Computational ecosystems in a changing environment. Int J Mod Phys C 2(3):735-753
90. Glance NS, Huberman BA (1992) Dynamics with expectations. Phys Lett A 165:432-440
91. Goel NS, Maitra SC, Montroll EW (1971) On the Volterra and other nonlinear models of interacting populations. Rev Mod Phys 43(2):231-276
92. Goel NS, Richter-Dyn N (1974) Stochastic models in biology. Academic Press, New York, NY
93. Grabert H, Weidlich W (1974) Masterequation, H-theorem and stationary solution for coupled quantum systems. Zeitschrift für Physik 268:139-143
94. Grad H (1958) Principles of the kinetic theory of gases, vol 12, Handbuch der Physik. Springer, Berlin
95. Graham R (1980) Forward Hopf bifurcation with multiplicative Gaussian white noise: exact Fokker-Planck-solution. Phys Lett A 80 (5, 6):351-353
96. Graham R (1980) Solution of Fokker Planck equations with and without manifest detailed balance. Zeitschrift für Physik B 40:149-155
97. Granger C W J, Newbold P (1977) Forecasting economic time series. Academic Press, New York, NY
98. Granovetter M, Soong R (1983) Threshold models of diffusion and collective behavior. J Math Sociol 9:165-179
99. Grassberger P (1981) On the Hausdorff dimension of fractal attrators. J Stat Phys 19:25
100. Greenspan HP, Benney DJ, Turner JE (1986) Calculus. An introduction to applied mathematics, 2nd edn. McGraw-Hill, Toronto, ON
101. Greenwood DT (1988) Principles of dynamics, 2nd edn. Prentice-Hall, Englewood Cliffs, NJ
102. Griffiths HB, Oldknow A (1993) Mathematics of models. Ellis Horwood, New York, NY
103. Haag G (1989) Dynamic decision theory: applications to urban and regional topics. Kluwer Academic, Dordrecht
104. Haag G, Weidlich W, Alber P (1977) Approximation methods for stationary solutions of discrete master equations. Zeitschrift für Physik B 26:207-215
105. Haken H (1976) Generalized Onsager-Machlup function and classes of path integral solutions of the Fokker-Planck equation and the master equation. Zeitschrift für Physik B 24:321-326
106. Haken H (1983) Advanced synergetics. Springer, Berlin
107. Haken H (1983) Synergetics, 3rd edn. Springer, Berlin
108. Haken H (1988) Information and self-organization: a macroscopic approach to complex systems. Springer, Berlin
109. Hallam TG (1986) Community dynamics in a homogeneous environment. In: Hallam TG, Levin SA (eds) Mathematical ecology. Springer, Berlin
110. Hamblin RL, Jacobsen RB, Miller J L L (1973) A mathematical theory of social change. Wiley, New York, NY
111. Hänggi P, Haag G (1980) Continued fraction solutions of discrete master equations not obeying detailed balance. Zeitschrift für Physik B 39:269-279
112. Hao B-L, Wang G-R, Zhang S-Y (1983) U-sequences in the periodically forced Brusselator. Commun Theor Phys 2(3):1075-1080
113. Hao B-L, Zhang S-Y (1982) Hierarchy of chaotic bands. J Stat Phys 28(4):769-792
114. Hartree DR (1928) Proc Cambridge Philos Soc 24:111
115. Harvey JH (1976) Attribution of freedom. In: Harvey JH, Ickes WJ, Kidd RF (eds) New directions in attribution research, Chap. 4. Wiley, New York, NY
116. Hauk M (1994) Evolutorische Ökonomik und private Transaktionsmedien. Lang, Frankfurt/Main
117. Haus JW, Kehr KW (1987) Diffusion in regular and disordered lattices. Phys Rep 150 (5, 6):263-406
118. Hausdorff F (1919) Dimension und äußeres Maß. Mathematische Annalen 79:157-179
119. Heider F (1946) Attitudes and cognitive organization. J Psychol 21:107-112
120. Heider F (1958) The psychology of interpersonal relations. Wiley, New York, NY
121. Heisenberg W (1927) Über den anschaulichen Inhalt der quantummechanischen Kinematik und Mechanik. Z Phys 43:172-198
122. Heisenberg W (1930) The physical principles of quantum theory. University of Chicago Press, Chicago, IL
123. Helbing D (1990) Physikalische Modellierung des dynamischen Verhaltens von Fußgängern. Master's thesis, Georg-August University Göttingen
124. Helbing D (1991) A mathematical model for the behavior of pedestrians. Behav Sci 36:298-310
125. Helbing D (1992) A fluid-dynamic model for the movement of pedestrians. Complex Systems 6:391-415
126. Helbing D (1992) Interrelations between stochastic equations for systems with pair interactions. Physica A 181:29-52
127. Helbing D (1992) A mathematical model for attitude formation by pair interactions. Behav Sci 37:190-214
128. Helbing D (1992) A mathematical model for behavioral changes by pair interactions. In: Haag G, Mueller U, Troitzsch KG (eds) Economic evolution and demographic change. Formal models in social sciences. Springer, Berlin, pp 330-348
129. Helbing D (1992) Models for pedestrian behavior. In: Natural structures. Principles, strategies, and models in architecture and nature. Sonderforschungsbereich 230, Stuttgart, Part II
130. Helbing D (1993) Boltzmann-like and Boltzmann-Fokker-Planck equations as a foundation of behavioral models. Physica A 196:546-573
131. Helbing D (1993) Stochastic and Boltzmann-like models for behavioral changes, and their relation to game theory. Physica A 193:241-258
132. Helbing D (1993) Stochastische Methoden, nichtlineare Dynamik und quantitative Modelle sozialer Prozesse. Shaker, Aachen. PhD thesis, University of Stuttgart, 1992
133. Helbing D (1994) A mathematical model for behavioral changes by pair interactions and its relation to game theory. Angewandte Sozialforschung 18(3):117-132
134. Helbing D, Molnár P (1995) Social force model for pedestrian dynamics. Phys Rev E 51:4282-4286
135. Hilborn RC (1994) Chaos and nonlinear dynamics. Oxford University Press, New York, NY
136. Hilfer R (1986) Renormierungsansätze in der Theorie ungeordneter Systeme. Harri Deutsch, Frankfurt/Main
137. Hofbauer J, Schuster P, Sigmund K (1979) A note on evolutionarily stable strategies and game dynamics. J Theor Biol 81:609-612
138. Hofbauer J, Sigmund K (1984) Evolutionstheorie und dynamische Systeme. Paul Parey, Berlin
139. Hofbauer J, Sigmund K (1988) The theory of evolution and dynamical systems. Cambridge University Press, Cambridge
140. Hoffmann LD, Bradley GL (1989) Calculus for business, economics, and the social and life sciences, 4th edn. McGraw-Hill, New York, NY
141. Hofstätter PR (1956) Farbsymbolik und Ambivalenz. Psychol Beitr 2:526-540
142. Hofstätter PR (1972) Psychologie. Fischer, Frankfurt/Main
143. Hohenberg PC, Halperin BI (1977) Theory of dynamic critical phenomena. Rev Mod Phys 49(3):435-479
144. Hopf E (1942) Abzweigungen einer periodischen Lösung von einer stationären Lösung eines Differentialgleichungssystems. Math Naturwiss Klasse 94:1
145. Horsthemke W, Lefever R (1984) Noise-induced transitions. Springer, Berlin
146. Hu B, Rudnick J (1982) Exact solutions to the Feigenbaum renormalization-group equations for intermittency. Phys Rev Lett 48(24):1645-1648
147. Huberman BA, Hogg T (1988) The behavior of computational ecologies. In: Huberman BA (ed) The ecology of computation. Elsevier, Amsterdam
148. Ising E (1925) Beitrag zur Theorie des Ferromagnetismus Zeitschrift der Physik. 31:253ff
149. Johnson RA, Wichern DW (1988) Applied multivariate statistical analysis, 2nd edn. Prentice Hall, Englewood Cliffs, NJ
150. Kac M, Logan J (1979) In: Montroll EW, Lebowitz JL (eds) Studies in statistical mechanics. North-Holland, Amsterdam, pp 46-53
151. Van Kampen NG (1981) Stochastic processes in physics and chemistry. North-Holland, Amsterdam
152. Kaplan J, Yorke J (1979) In: Peitgen H-O, Walther H-O (eds) Functional differential equations and approximation of fixed points. Springer, New York, NY
153. Keener JP, Tyson JJ (1986) Spiral waves in the Belousov-Zhabotinskii reaction. Physica D 21:307-324
154. Keizer J (1987) Statistical thermodynamics of nonequilibrium processes, Chaps. 2.7 to 2.9. Springer, New York, NY
155. Kendall SM (1976) Time-series, 2nd edn. Griffin, London
156. Kenkre VM (1977) The generalized master equation and its applications. In: Landman U (ed) Statistical mechanics and statistical methods in theory and application. Plenum Press, New York, NY
157. Kennedy AM (1983) The adoption and diffusion of new industrial products: a literature review. Eur J Mark 17(3):31-88
158. Khintchine A (1934) Korrelationstheorie der stationären stochastischen Prozesse. Mathematische Annalen 109:604-615
159. Kolmogorov AN (1931) Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung. Math Ann 104:415-458
160. Kramers HA (1940) Brownian motion in a field of force and the diffusion model of chemical reactions. Physica 7:284-304
161. Kruskal JB, Wish M (1978) Multidimensional scaling. Sage, Beverly Hills, CA
162. Kubo R, Toda M, Hashitsume N (1985) Statistical physics II. Nonequilibrium statistical mechanics, Chap. 2.8: Boltzmann equation. Springer, Berlin
163. Landau LD, Lifshitz EM (1981) Course of theoretical physics, vol 10, Physical kinetics. Pergamon Press, Oxford
164. Lang S (1985) Complex analysis, 2nd edn. Springer, New York, NY
165. Lang S (1986) Introduction to linear algebra, 2nd edn. Springer, New York, NY
166. Langevin P (1908) On the theory of Brownian motion. Comptes Rendues Acad Sci Paris 146:530-533
167. Levine IN (1988) Physical chemistry, Chap. 17: Reaction kinetics, 3rd edn. McGraw-Hill, New York, NY
168. Lewenstein M, Nowak A, Latané B (1992) Statistical mechanics of social impact. Phys Rev A 45(2):763-776
169. Lewin K (1951) Field theory in social science. Harper & Brothers, New York, NY
170. Liboff RL (1990) Kinetic theory. Classical, quantum, and relativistic descriptions. Prentice-Hall, Englewood Cliffs, NJ
171. Liouville J (1838) Note sur la théorie de la variation des constantes arbitraries. J de Math 3:342ff
172. Lotka AJ (1920) Analytical note on certain rhythmic relations in organic systems. Proc Nat Acad Sci USA 6:410-415
173. Lotka AJ (1956) Elements of mathematical biology. Dover, New York, NY
174. Luce RD (1959) Individual choice behavior, Chap. 2. A: Fechner's problem. Wiley, New York, NY
175. Luce RD, Raiffa H (1957) Games and decisions. Wiley, New York, NY
176. Luhmann N (1991) Soziale Systeme, 4th edn. Suhrkamp, Frankfurt/Main
177. Ma S-K (1976) Modern theory of critical phenomena. Benjamin, Reading, MA
178. Mahajan V, Peterson RA (1985) Models for innovation diffusion. Sage, London
179. Malchow H (1988) Spatial patterning of interacting and dispersing populations. Mem Fac Sci Kyoto Univ (Ser Biol) 13:83-100
180. Mandelbrot BB (1983) The fractal geometry of nature. Freeman, New York, NY
181. Matheson I, Walls DF, Gardiner CW (1975) Stochastic models of first-order nonequilibrium phase transitions in chemical reactions. J Stat Phys 12(1):21-34
182. May RM (1973) Stability and complexity in model ecosystems. Princeton University Press, Princeton, NJ, pp 50-53, 193-194
183. McCauley JL (1993) Chaos dynamics and fractals. Cambridge University Press, Cambridge
184. Montgomery D (1971) Brownian motion from Boltzmann's equation. Phys Fluids 14(10):2088-2090
185. Montroll EW (1965) Model making in biological and behavioral sciences. In: Eringen AC (ed) Recent advances in engineering science, vol. I. Gordon and Breach, New York, NY
186. Montroll EW (1978) On some mathematical models of social phenomena. In: Lakshmikantham V (ed) Nonlinear equations in abstract spaces. Academic Press, New York, NY
187. Montroll EW, Badger WW (1974) Introduction to quantitative aspects of social phenomena. Gordon and Breach, New York, NY
188. Montroll EW, Shlesinger MF (1984) On the wonderful world of random walks. In: Lebowitz JL, Montroll EW (eds) Nonequilibrium phenomena II: from stochastics to hydrodynamics. North-Holland, Amsterdam
189. Montroll EW, West BJ (1979) On an enriched collection of stochastic processes. In: Montroll EW, Lebowitz JL (eds) Fluctuation phenomena. North-Holland, Amsterdam
190. Moore DS, McCabe GP (1989) Introduction to the practice of statistics. Freeman, New York, NY
191. Mosekilde E, Larsen E, Sterman JD (1991) Coping with complexity: deterministic chaos in human decisionmaking behavior. In: Casti JL, Karlqvist A (eds) Beyond belief: randomness, prediction and explanation in science. CRC Press, Boca Raton, FL, pp 199-229
192. Mosekilde E, Thomsen JS, Larsen ER, Sterman J (1992) Nonlinear interactions in the economy. In: Haag G, Mueller U, Troitzsch KG (eds) Economic evolution and demographic change. Formal models in social sciences. Springer, Berlin
193. Moyal JE (1949) Stochastic processes and statistical physics. J Roy Stat Soc B 11:150-210
194. Munz M, Weidlich W (1990) Settlement formation. Part II: Numerical simulation. Ann Reg Sci 24:177-196
195. Von Neumann J (1927) Wahrscheinlichkeitstheoretischer Aufbau der Quantenmechanik. Göttinger Nachrichten 1(10):245-272
196. Von Neumann J, Morgenstern O (1944) Theory of games and economic behavior. Princeton University Press, Princeton, NJ
197. Newhouse S, Ruelle D, Takens F (1978) Occurrence of strange axiom A attractors near quasiperiodic flow on Tm, m ≥ 3. Commun Math Phys 64:35
198. Newton I (1687) Philosophiae Naturalis Principia Mathematica. Available at: http://www.ntnu.no/ub/spesialsamlingene/ebok/02a019654.html
199. Nicholson W (1992) Microeconomic theory, 5th edn. Dryden Press, Fort Worth, pp 90ff, 111ff
200. Nicolis G, Malek-Mansour M, Van Nypelseer A, Kitahara K (1976) The onset of instabilities in nonequilibrium systems. J Stat Phys 14(5):417-432
201. Nicolis G, Nicolis C (1988) Master-equation approach to deterministic chaos. Phys Rev A 38:427-433
202. Nicolis G, Prigogine I (1977) Self-organization in nonequilibrium systems. From dissipative structures to order through fluctuations. Wiley, New York, NY
203. Nitecki ZH, Guterman MM (1986) Differential equations with linear algebra, Chap. 3.10: Homogeneous systems with constant coefficients: multiple roots. Saunders, Philadelphia, PA
204. Oeding D (1963) Verkehrsbelastung und Dimensionierung von Gehwegen und anderen Anlagen des Fußgängerverkehrs, vol 22, Straßenbau und Straßenverkehrstechnik, Bonn. p 8, Fig. 10.
205. Older SJ (1968) Movement of pedestrians on footways in shopping streets. Traffic Eng Control 10:160-163
206. Olinick M (1978) An introduction to mathematical models in the social and life sciences. Addison-Wesley, Reading, MA, pp 59-65
207. Olmsted J M H (1961) Advanced calculus. Appleton-Century-Crofts, New York, NY
208. Oppenheim I, Schuler KE, Weiss GH (eds) (1977) Stochastic processes in chemical physics: the master equation. MIT Press, Cambridge, MA
209. Ortúzar JdeD, Willumsen LG (1990) Modelling transport, Chap. 7: Discrete-choice models. Wiley, Chichester
210. Oseledec VI (1968) A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems. Trans Moscow Math Soc 19:197
211. Osgood CE (1953) Method and theory in experimental psychology. Oxford University Press, New York, NY, pp 708-714
212. Osgood CE, Suci GJ, Tannenbaum PH (1957) The measurement of meaning. University of Illinois Press, Urbana, IL
213. Osgood CE, Tannenbaum PH (1955) The principle of congruity in the prediction of attitude change. Psychol Rev 62:42-55
214. Parsons T (1967) Sociological theory and modern society. Free Press, New York, NY
215. Pauli H (1928) In: Debye P (ed) Probleme der Modernen Physik. Hirzel, Leipzig
216. Pawula RF (1967) Approximation of the linear Boltzmann equation by the Fokker-Planck equation. Phys Rev 162:186-188
217. Pearl R (1924) Studies in human biology. Williams & Wilkins, Baltimore, MD
218. Pearson CE (ed) (1974) Handbook of applied mathematics. Van Nostrand Reinhold, New York, NY, pp 585-596
219. Peschel M, Mende W (1986) The predator-prey model. Springer, Wien
220. Petty RE, Cacioppo JT (1986) Communication and persuasion. Central and peripheral routes to attitude change. Springer, New York, NY
221. Planck M (1917) In: Über einen Satz der statistischen Dynamik und seine Erweiterung in der Quantentheorie, Sitzungsber Preuss Akad Wiss, pp 324ff
222. Poincaré H (1892) Les Méthodes Nuovelles de la Méchanique Celeste. Gauthier-Villars, Paris
223. Pomeau Y, Manneville P (1980) Intermittent transition to turbulence in dissipative dynamical systems. Commun Math Phys 74:189-197
224. Prigogine I (1963) Non equilibrium statistical mechanics. Wiley, New York, NY
225. Prigogine I (1976) Order through fluctuation: self-organization and social system. In: Jantsch E, Waddington CH (eds) Evolution and consciousness. Human systems in transition. Addison-Wesley, Reading, MA
226. Prigogine I, Herman R (1971) Kinetic theory of vehicular traffic. Elsevier, New York, NY
227. Puu T (1989) Nonlinear economic dynamics, Chap. 3: Population dynamics. Springer, Berlin
228. Rachlin HC (1976) Behavior and learning. Freeman, San Francisco, CA
229. Rachlin HC, Baum WM (1972) Effects of alternative reinforcement: does the source matter? J Exp Anal Behav 18:231-241
230. Rapoport A (ed) (1974) Game theory as a theory of conflict resolution. Reidel, Dordrecht
231. Rapoport A (1983) Mathematical models in the social and behavioral sciences. Wiley, New York, NY
232. Rapoport A (1986) General system theory. Essential concepts and applications. Abacus Press, Tunbridge Wells, Kent
233. Rapoport A (1990) Experimental studies of interactive decisions. Kluwer Academic, Dordrecht
234. Rapoport A, Chammah MA (1965) Prisoner's dilemma. A study in conflict and cooperation. University of Michigan Press, Ann Arbor, MI
235. Ravenstein E (1876) The birthplaces of the people and the laws of migration. Geogr Mag III: 173-177
236. Reif F (1965) Fundamentals of statistical and thermal physics. McGraw-Hill, Singapore, pp 202ff, 229ff
237. Reiner R (1988) Interregionale migration. PhD thesis, University of Stuttgart
238. Reiner R, Munz M (1990) Ranking regression analysis of spatiotemporal variables. Environ Plan A 22:507-526
239. Reiner R, Weidlich W (1993) der Beitrag der Synergetik zum Naturverständnis. In: Bien G, Gil Th, Wilke J (eds) Natur im Umbruch. Frommann-Holzboog, Stuttgart
240. Rieckers A, Stumpf H (1977) Thermodynamik, Band 2, Chap. H: Ableitung der Boltzmanngleichung aus der Pauli-Master-Gleichung. Vieweg, Braunschweig
241. Risken H (1989) The Fokker-Planck equation, 2nd edn. Springer, Berlin
242. Risken H, Vollmer HD (1989) Methods for solving Fokker-Planck equations with applications to bistable and periodic potentials. In: Moss F, McClintock PVE (eds) Noise in nonlinear dynamical systems, Vol. 1: Theory of continuous Fokker-Planck systems. Cambridge University Press, Cambridge
243. Rosenberg MJ, Abelson RP (1960) An analysis of cognitive balancing. In: Rosenberg MJ, Hovland CI, McGuire WJ, Abelson RB, Brehm JW (eds) Attitude organization and change. Yale University Press, New Haven, CT, pp 112-163
244. Rosenblatt M (1971) Markov processes. Structure and asymptotic behavior. Springer, Berlin
245. Rosser W G V (1982) An introduction to statistical physics. Horwood, Chichester, pp 108f
246. Salas SL, Hille E, Anderson JT (1986) Calculus, 5th edn. Wiley, New York, NY
247. Schaffer WM, Olsen LF, Truty GL, Fulmer SL, Graser DJ (1988) Periodic and chaotic dynamics in childhood infections. In: Markus M, Müller StC, Nicolis G (eds) From chemical to biological organization. Springer, Berlin
248. Schnabl W, Stadler PF, Forst C, Schuster P (1991) Full characterization of a strange attractor. Chaotic dynamics in low-dimensional replicator systems. Physica D 48:65-90
249. Schnakenberg J (1976) Network theory of microscopic and macroscopic behavior of master equation systems. Rev Mod Phys 48(4):571-585
250. Schrödinger E (1926) Quantisierung als Eigenwertproblem. Annalen der Physik 384(6):489-527
251. Schroeder SR, Holland JG (1969) Reinforcement of eye movement with concurrent schedules. J Exp Anal Behav 12:897-903
252. Schüßler R (1989) Exit threats and cooperation under anonymity. J Conflict Resolut 33(4):728-749
253. Schüßler R (1990) Threshold effects and the decline of cooperation. J Conflict Resolut 34(3):476-494
254. Schuster HG (1988) Deterministic chaos, 2nd edn. VCH, Weinheim
255. Schuster P (1983) Replicator dynamics. J Theor Biol 100:533-538
256. Schuster P, Sigmund K, Hofbauer J, Wolff R (1981) Self-regulation of behavior in animal societies. Biol Cybern 40:1-25
257. Schweitzer F, Bartels J, Pohlmann L (1991) Simulation of opinion structures in social systems. In: Ebeling W, Peschel M, Weidlich W (eds) Models of self-organization in complex systems (MOSES). Akademie, Berlin
258. Scott SK (1991) Chemical chaos. Clarendon Press, Oxford
259. Sgouridis S (1985) Zur Lösung der nichtlinearen Fokker-Planck- Gleichung mit Benutzung orthogonaler Polynome. Atomenergie Kerntechnik 46(1):29-35
260. Shimada I, Nagashima T (1979) A numerical approach to ergodic problem of dissipative dynamical systems. Prog Theor Phys 61(6):1605-1616
261. Spiegel B (1961) Die Struktur der Meinungsverteilung im sozialen Feld. Huber, Bern
262. Stadler PF (1991) Dynamics of autocatalytic reaction networks IV: Inhomogeneous replicator networks. BioSystems 26:1-19
263. Stanley HE (1971) Introduction to phase transitions and critical phenomena. Oxford University Press, New York
264. Steeb W-H (1991) A handbook of terms used in chaos and quantum chaos. B. I.-Wissenschaftsverlag, Mannheim
265. Steiner ID (1970) Perceived freedom. In: Berkowitz L (ed) Advances in experimental social psychology. Academic Press, New York
266. Stewart I, Tall D (1983) Complex analysis (The Hitchhiker's guide to the plane). Cambridge University Press, Cambridge
267. Stratonovich RL (1963, 1967) Topics in the theory of random noise, vols 1, 2. Gordon and Breach, New York
268. Stübel G (1975) Sensitivity model generator as a tool for automatic credibility test of continuous system simulation. In: Proceedings of the 1975 summer simulation conference, San Francisco, pp 1189-1197
269. Szép J, Forgó F (1985) Introduction to the theory of games. Akadémiai Kiadó, Budapest
270. Taylor B (1717) Methodus incrementorum directa et inversa. Available at: http://books. google.ch/books?hl = de&lr = &id = c5o-AAAAcAAJ&oi
271. Taylor P, Jonker L (1978) Evolutionarily stable strategies and game dynamics. Math Biosci 40:145-156
272. Theil H (1958) Economic forecasts and policy. North-Holland, Amsterdam, pp 31ff
273. Thom R (1975) Structural stability and morphogenesis. Benjamin, Reading, MA
274. Troitzsch KG (1989) Mikromodellierung der Bildung politischer Einstellungen in interagierenden Populationen. In: Falter JW, Rattinger H, Troitzsch KG (eds) Wahlen und politische Einstellungen. Lang, Frankfurt/Main
275. Tuma NB, Hannan MT (1984) Social dynamics. Models and methods. Academic Press, Orlando, FL
276. Uhlenbeck GE (1973) The validity and the limitations of the Boltzmann-equation. In: Cohen EGD, Thirring W (eds) The Boltzmann equation. Springer, Wien
277. Uhlenbeck GE, Ford GW (1963) Lectures in statistical mechanics. American Mathematical Society, Providence, RI
278. Valentin L (1981) Subatomic physics: nuclei and particles. North-Holland, Amsterdam, pp 127-130, 342-349
279. Vance RR (1978) Predation and resource partitioning in one predator-two prey model communities. Am Nat 112:7 97-813
280. Varian HR (1992) Microeconomic analysis, 3rd edn. Norton, New York, NY
281. Verhulst PF (1845) Nuov Mem Acad Roy Bruxelles 18:1ff
282. Volterra V (1931) Leçons sur la Théorie Mathématique de la Lutte pour la Vie. Gauthier-Villars, Paris
283. Vorob'ev NN (1977) Game theory. Lectures for economists and system scientists. Springer, New York, NY
284. Walls DF (1976) Non-equilibrium phase transitions in sociology. Collective Phenomena 2:125-130
285. Weidlich W (1971) The statistical description of polarization phenomena in society. Br J Math Stat Psychol 24:51
286. Weidlich W (1972) The use of statistical models in sociology. Collective Phenomena 1:51-59
287. Weidlich W (1978) On the structure of exact solutions of discrete masterequations. Zeitschrift für Physik B 30:345-353
288. Weidlich W (1987) Quantitative social science. Physica Scripta 35:380-387
289. Weidlich W (1991) Physics and social science-the approach of synergetics. Phys Rep 204:1-163
290. Weidlich W (1994) Synergetic modelling concepts for sociodynamics with application to collective political opinion formation. J Math Sociol 18:267-291
291. Weidlich W, Braun M (1992) The master equation approach to nonlinear economics. J Evol Econ 2:233-265
292. Weidlich W, Haag G (1983) Concepts and models of a quantitative sociology. The dynamics of interacting populations. Springer, Berlin
293. Weidlich W, Haag G (1987) A dynamic phase transition model for spatial agglomeration processes. J Reg Sci 27(4):529-569
294. Weidlich W, Haag G (eds) (1988) Interregional migration. Springer, Berlin
295. Weidlich W, Munz M (1990) Settlement formation. Part I: A dynamic theory. Ann Reg Sci 24:83-106
296. Wiener N (1930) Generalized harmonic analysis. Acta Math 55(1):117-258
297. Williams H C W L (1977) On the formation of travel demand models and economic evaluation measures of user benefit. Environ Plan A 9(3):285-344
298. Williams W S C (1991) Nuclear and particle physics. Clarendon Press, Oxford, pp 56-61
299. Wortman CB, Brehm JW (1975) Responses to uncontrollable outcomes: an integration of reactance theory and the learned helplessness model. In: Berkowitz L (ed) Advances in experimental social psychology. Academic Press, New York, NY, pp 277-336
300. Wunderlin A, Haken H (1984) Some applications of basic ideas and models of synergetics to sociology. In: Frehland E (ed) Synergetics-from microscopic to macroscopic order. Springer, Berlin
301. Young FW, Hamer RM (1987) Multidimensional scaling: history, theory, and applications. Lawrence Erlbaum Associates, Hillsdale, NJ
302. Zeeman EC (ed) (1977) Catastrophe theory. Addison-Wesley, London
303. Zeeman EC (1980) Population dynamics from game theory. In: Nitecki A, Robinson C (eds) Global theory of dynamical systems, Springer, Berlin
304. Ziman JM (1972) Principles of the theory of solids. Cambridge University Press, London
305. Zipf GK (1946) The P1P2/D hypothesis on the intercity movement of persons. Am Sociol Rev 11:677-686
306. Zwanzig R (1964) On the identity of three generalized master equations. Physica 30:1109-1123
307. Zwicker E (1981) Simulation und Analyse dynamischer Systeme in den Wirtschafts-und Sozialwissenschaften. De Gruyter, Berlin, pp 444ff
308. Helbing D (2001) Traffic and related self-driven many-particle systems. Rev Mod Phys 73:1067-1141
309. Hagel JH, Roth AE (eds) (1995) The handbook of experimental economics. Princeton University, Princeton, NJ
310. Shleifer A (2000) Inefficient markets: an introduction to behavioral finance. Clarendon Lectures. Oxford University Press, Oxford
311. Arthur WB (1994) Inductive reasoning and bounded rationality. Am Econ Rev 84:406-411
312. Challet D, Zhang Y-C (1997) Emergence of cooperation and organization in an evolutionary game. Physica A 246:407ff
313. Challet D, Zhang Y-C (1998) On the minority game: analytical and numerical studies. Physica A 256:514-532
314. Challet D, Marsili M, Zhang Y-C (2000) Modeling market mechanism with minority game. Physica A 276:284-315
315. Rachlin HC (1976) Behavior and learning. Freeman, San Francisco, CA
316. Rachlin HC, Baum WM (1972) Effects of alternative reinforcement: does the source matter? J Exp Anal Behav 18:231-241
317. Schroeder SR, Holland JG (1969) Reinforcement of eye movement with concurrent schedules. J Exp Anal Behav 12:897-903
318. Fechner GT (1860) Elemente der Psychophysik. Druck und Verlag von Breitkopf und Hartel, Leipzig
319. Domencich TA, McFadden DM (1975) Urban travel demand. A behavioral analysis. North-Holland, Amsterdam, pp 61-69
320. Ortúzar JdeD, Willumsen LG (1990) Modelling transport, Chap. 7: Discrete-choice models Wiley, Chichester
321. Ben-Akiva M, McFadden DM et al (1999) Extended framework for modeling choice behavior. Marketing Lett 10:187-203
322. Reif F (1965) Fundamentals of statistical and thermal physics. McGraw-Hill, Singapore, pp 202ff, 229ff
323. Rosser W G V (1982) An introduction to statistical physics. Horwood, Chichester, pp 108f
324. Haken H (1988) Information and self-organization. Springer, Berlin
325. Helbing D (1996) Stochastische Methoden, nichtlineare Dynamik und quantitative Modelle sozialer Prozesse. Shaker, Aachen
326. Helbing D (1995) Quantitative sociodynamics (and references therein). Kluwer Academic, Dordrecht
327. Heider F (1946) Attitudes and cognitive organization. J Psychol 21:107-112
328. Heider F (1958) The psychology of interpersonal relations. Wiley, New York, NY
329. Cartwright D, Harary F (1956) Structural balance: a generalization of Heider's theory. Psychol Rev 63:277-293
330. Osgood CE, Tannenbaum PH (1955) The principle of congruity in the prediction of attitude change. Psychol Rev 62:42-55
331. Festinger L (1957) A theory of cognitive dissonance. Row & Peterson, Evanston, IL
332. Brehm SS (1976) The application of social psychology to clinical practice. Wiley, New York, NY
333. Binder J, Haag G, Koller M 2002 Modelling and simulation of migration, regional employment development and regional gross wage payment in Germany: the bottom-up approach. In: Regional Economies in Transition (Research Report 02:1), University of Trollhättan, Uddevalla
334. Feger H (ed) (1977) Studien zur intraindividuellen Konfliktforschung. Huber, Bern
335. Feger H (1978) Konflikterleben und Konfliktverhalten. Huber, Bern
336. Babloyantz A, Destexhe A (1987) Strange attractors in the human cortex. In: Rensing L, van der Heiden U, Mackey MC (eds) Temporal disorder in human oscillatory systems. Springer, Heidelberg
337. Babloyantz A, Nicolis C, Salazar M (1985) Evidence of chaotic dynamics of brain activity during the sleep cycle. Phys Lett A 111:152
338. Osgood CE, Suci GJ, Tannenbaum PH (1957) The measurement of meaning. University of Illinois Press, Urbana, IL
339. Douglas PH (1934) The theory of wages. Macmillan, New York, NY, pp 132-135
340. Nicholson W (1992) Microeconomic theory, 5th edn. Dryden Press, FortWorth, pp 90ff, 111ff
341. Ben-Akiva M, Bottom J, Ramming MS (2001) Route guidance and information systems. Int J Syst Contr Engin 215:317-324
342. Libet B, Gleason CA, Wright EW, Pearl DK (1983) Time of conscious intention to act in relation to onset of cerebral activity (readiness-potential) . Brain 106:623-642
343. Haggard P, Eimer M (1999) On the relation between brain potentials and the awareness of voluntary movements. Exp Brain Res 126:128-133
344. Harvey JH (1976) Attribution of freedom. In: Harvey JH, Ickes WJ, Kidd RF (eds) New directions in attribution research, Chap. 4. Wiley, New York, NY
345. Steiner ID (1970) Perceived freedom. In: Berkowitz L (ed) Advances in experimental social psychology. Academic Press, New York, NY
346. Brehm JW (1972) Responses to loss of freedom: a theory of psychological reactance. General Learning Press, Morristown, NJ
347. Brehm JW (1966) A theory of psychological reactance. Academic Press, New York, NY
348. Wortman CB, Brehm JW (1975) Responses to uncontrollable outcomes: an integration of reactance theory and the learned helplessness model. In: Berkowitz L (ed) Advances in experimental social psychology. Academic Press, New York, NY, pp 277-336
349. Weidlich W, Haag G (1983) Concepts and models of a quantitative sociology. The dynamics of interacting populations. Springer, Berlin
350. Weidlich W (1991) Physics and social science-the approach of synergetics. Phys Rep 204:1-163
351. Weidlich W (2000) Sociodynamics. A systematic approach to mathematical modelling in the social sciences. Harwood Academic, Amsterdam
352. Helbing D (1998) Microscopic foundation of stochastic game dynamical equations. In: Leinfellner W, Köhler E (eds) Game theory, experience, rationality. Kluwer Academic, Dordrecht, pp 211-224
353. Helbing D (1994) Amathematical model for behavioral changes by pair interactions and its relation to game theory. Angewandte Sozialforschung 18(3):117-132
354. Helbing D (1993) Stochastic and Boltzmann-like models for behavioral changes, and their relation to game theory. Physica A 193:241-258
355. Helbing D (1992) Interrelations between stochastic equations for systems with pair interactions. Physica A 181:29-52
356. Helbing D (1994) A mathematical model for the behavior of individuals in a social field. J Math Sociol 19(3):189-219
357. Burt RS (1982) Towards a structural theory of action. Network models of social structure, perception, and action. Academic Press, New York, NY
358. Braun N (1993) Socially embedded exchange. Lang, Frankfurt/Main
359. Krawiecki A, Holyst JA, Helbing D (2002) Volatility clustering and scaling for financial time series due to attractor bubbling. Phys Rev Lett 89:158701
360. Helbing D, Farkas I, Vicsek T (2000) Simulating dynamical features of escape panic. Nature 407:487-490
361. Fishbein M, Ajzen I (1975) Belief, attitude, intention and behavior: an introduction to theory and research. Addison-Wesley, Reading, MA
362. Anderson NH (1961) Group performance in an anagram task. J Soc Psychol 55:67-75
363. Kelley HH, Thibaut JW (1969) Group problem solving. In: Lindzey G, Aronson E (eds) The handbook of social psychology, vol 4. Addison-Wesley, Reading, MA
364. Laughlin PR, Kerr NL, Davis JH, Halff HM, Marciniak KA (1975) Group size, member ability, and social decision schemes on an intellective task. J Pers Soc Psychol 31:522-535
365. Pearl R (1924) Studies in human biology. Williams & Wilkins, Baltimore, MD
366. Verhulst PF (1845) Nouveaux Mémoires de l'Académie Royale des Sciences et des Belles-Lettres de Bruxelles 18:1ff
367. Bartholomew DJ (1967) Stochastic models for social processes. Wiley, London
368. Montroll EW, Badger WW (1974) Introduction to quantitative aspects of social phenomena. Gordon and Breach, New York, NY
369. Hamblin RL, Jacobsen RB, Miller J L L (1973) A mathematical theory of social change. Wiley, New York, NY
370. Olinick M (1978) An introduction to mathematical models in the social and life sciences. Addison-Wesley, Reading, MA, pp 59-65
371. Ravenstein E (1876) The birthplaces of the people and the laws of migration. Geogr Mag III: 173-177
372. Zipf GK (1946) The P1P2/D hypothesis on the intercity movement of persons. Am Sociol Rev 11:677-686
373. Weidlich W, Haag G (eds) (1988) Interregional migration. Springer, Berlin
374. Haag G (1989) Dynamic decision theory. Applications to urban and regional topics. Kluwer Academics, Dordrecht
375. Helbing D (1993) Boltzmann-like and Boltzmann-Fokker-Planck equations as a foundation of behavioral models. Physica A 196:546-573
376. Lewin K (1951) Field theory in social science. Harper and Brothers, New York, NY
377. Helbing D (1991) A mathematical model for the behavior of pedestrians. Behav Sci 36:298-310
378. Nowak A, Szamrej J, Latané B (1990) From private attitude to public opinion: a dynamic theory of social impact. Psychol Rev 97:362-376
379. Lewenstein M, Nowak A, Latané B (1992) Statistical mechanics of social impact. Phys Rev A 45:763-776
380. Vallacher R, Nowak A (eds) (1994) Dynamic systems in social psychology. Academic Press, New York, NY
381. Kacperski K, Holyst JA (1996) Phase transitions and hysteresis in a cellular automata-based model of opinion formation. J Stat Phys 84:169-189
382. Helbing D (1997) Verkehrsdynamik. Neue physikalische Modellierungskonzepte. Springer, Berlin
383. Helbing D, Tilch B (1998) Generalized force model of traffic dynamics. Phys Rev E 58:133-138
384. Treiber M, Hennecke A, Helbing D (2000) Congested traffic states in empirical observations and microscopic simulations. Phys Rev E 62:1805-1824
385. Helbing D, Molnár P (1995) Social force model for pedestrian dynamics. Phys Rev E 51:4282-4286
386. Helbing D, Farkas I, Vicsek T (2000) Freezing by heating in a driven mesoscopic system. Phys Rev Lett 84:1240-1243
387. Helbing D (1994) Boltzmann-like and force models for behavioral changes. In: Bachem A, Derigs U, Jünger M, Schrader R (eds) Operations research'93. Physica, Heidelberg, pp 251-254
388. Hofbauer J, Schuster P, Sigmund K (1979) A note on evolutionarily stable strategies and game dynamics. J Theor Biol 81:609-612
389. Taylor P, Jonker L (1978) Evolutionarily stable strategies and game dynamics. Math Biosci 40:145-156
390. Zeeman EC (1980) Population dynamics from game theory. In: Nitecki A, Robinson C (eds) Global theory of dynamical systems. Springer, Berlin
391. Hofbauer J, Sigmund K (1988) The theory of evolution and dynamical systems. Cambridge University Press, Cambridge
392. Eigen M (1971) The self-organization of matter and the evolution of biological macromolecules. Naturwissenschaften 58:465
393. Fisher RA (1930) The genetical theory of natural selection. Oxford University Press, Oxford
394. Helbing D (1992) A mathematical model for behavioral changes by pair interactions. In: Haag G, Mueller U, Troitzsch KG (eds) Economic evolution and demographic change. Formal models in social sciences. Springer, Berlin, pp 330-348
395. Schlag KH (1998) Why imitate, and if so, how? A boundedly rational approach to multi-armed bandits. J Econ Theo 78(1):130-156
396. Lotka AJ (1920) Analytical note on certain rhythmic relations in organic systems. Proc Natl Acad Sci USA 6:410
397. Lotka AJ (1956) Elements of mathematical biology. Dover, New York, NY
398. Volterra V (1931) Leçons sur la Théorie Mathématique de la Lutte pour la Vie. Gauthier-Villars, Paris
399. Goel NS, Maitra SC, Montroll EW (1971) On the Volterra and other nonlinear models of interacting populations. Rev Mod Phys 43(2):231-276
400. Hallam ThG (1986) Community dynamics in a homogeneous environment. In: Hallam TG, Levin SA (eds) Mathematical ecology. Springer, Berlin
401. Peschel M, Mende W (1986) The predator-prey model. Springer, Wien
402. Helbing D (1992) A mathematical model for attitude formation by pair interactions. Behav Sci 37:190-214
403. Helbing D (1996) A stochastic behavioral model and a 'microscopic' foundation of evolutionary game theory. Theory Decis 40:149-179
404. Arthur WB (1989) Competing technologies, increasing returns, and lock-in by historical events. Econ J 99:116-131