Utility maximization, choice and preference

Utility Maximization, Choice and Preference

Volumn , Issue , 2007, Pages 1-283

  Aleskerov, Fuad ^a   Bouyssou, Denis ^b   Monjardet, Bernard ^c  

^a NATIONAL RESEARCH UNIVERSITY HIGHER SCHOOL OF ECONOMICS   (Russian Federation)

^b Centre National de la Recherche Scientifique   (France)

^c UNIVERSITÉ PARIS 1 PANTHÉON SORBONNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84891388949     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-540-34183-3     Document Type: Book

References (266)

1. Abbas, M., (1994) Contribution au rapprochement de la théorie des graphes et de l'aide à la décision: graphes parfaits et modèles de preference, Ph. D. thesis, Universite Libre de Bruxelles, Brussels.
2. Abbas, M. (1995) Any complete preference structure without circuits admits an interval representation, Theory and Decision, 39(2), 115-126.
3. Abbas, M. and Vincke, Ph. (1993) Preference structures and threshold models, Journal of Multi-criteria Decision Analysis, 2, 171-178.
4. Abbas, M., and Vincke, Ph. (1994) Tangent circle orders: numerical representations and properties, preprint, Universite Libre de Bruxelles, Belgium.
5. Abbas, M., Pirlot, M. and Vincke Ph. (1996) Preference structures and threshold models, Journal of Multi-criteria Decision Analysis, 5, 81-98.
6. Abbas, M., Pirlot, M. and Vincke Ph. (2006) Tangent circle graphs and order, Discrete Applied Mathematics, 155, 429-441.
7. Adams, E. W. (1965) Elements of a theory of inexact measurement. Philosophy of Science, 32, 205-228.
8. Agaev, R. (1994) Interval choice under constraints on error functions, Information Science, 80(1, 2), 1-14.
9. Agaev, R. (2002) A characteristic property for simple partial ordering relations, Automation and Remote Control, 2, 328-329.
10. Agaev, R. and Aleskerov, F. (1993a) Mechanisms of generalized interval choice and functions generated by them, Automation and Remote Control, 4, 662-671.
11. Agaev, R. and Aleskerov, F. (1993b) Interval choice: classic and general cases, Mathematical Social Sciences, 26(3), 249-272.
12. Aizerman, M. and Aleskerov, F. (1991) Choice of Options (Fundamentals of the theory), Moscow, Nauka (in Russian).
13. Aizerman, M. and Aleskerov, F. (1995) Theory of Choice, North-Holland, Elsevier Science B. V., Amsterdam.
14. Aizerman, M. and Malishevski, A. (1981a) Some aspects of general theory of the choice of best alternatives, Automation and Remote Control, 2, 65-83.
15. Aizerman, M. and Malishevski, A. (1981b) General theory of best variants choice: some aspects, IEEE Transactions on Automatic Control, AC-26(5), 1030-1041.
16. Aizerman, M., Zavalishin, N. and Pyatnitski E. (1977) Global set functions in the theory of alternatives' choice, Automation and Remote Control, 3, 111-125; 5, 103-113.
17. Al Najjar, N. (1993) Non-transitive smooth preferences. Journal of Economic Theory, V. 47, 14-41.
18. Alcantud, J. C. R. (1999) Weak utilities from acyclicity. Theory and Decision, 47, 179-190.
19. Alcantud, J. C. R., Rodriguez-Palmero, C. (1999) Characterization of the existence of semicontinous weak utilities. Journal of Mathematical Economics, 503-509.
20. Aleskerov, F. (1980) An interval choice of alternatives and its expansion, Automation and Remote Control, 6, 129-134.
21. Aleskerov, F. (1981) Interval Choice, In Modelling and Optimization of Complex Control System, Nauka, Moscow, 105-110 (in Russian).
22. Aleskerov, F. (1983) The interval type Pareto rule in the problems of multicriterial decision making, in the Proceedings of the International Seminar on the modern methods of decision making, Bulgaria, Sofia.
23. Aleskerov, F. (1992) Binary relations, numerical comparisons with errors and rationality conditions for choice, Social Science Working Paper 812, California Institute of Technology, Pasadena, CA, USA.
24. Aleskerov, F. (1994) Multicriterial interval choice models, Information Sciences, 80(1 and 2), 25-41.
25. Aleskerov, F. (1999) Arrovian Aggregation Models, Kluwer, Dordrecht.
26. Aleskerov, F. (2001) Simple and simplest semiorders, Bogazigi University Working Paper, ISS\ EC-01-08.
27. Aleskerov, F. (2002a) Binary representation of choice rationalizable by a utility function and an additive non-negative error function, Mathematical Social Sciences, 43(2), 177-185.
28. Aleskerov, F. (2002b) Simple and Simplest Semiorders in Extremizational Choice with Additive Error, Automation and Remote Control, 63(2), 296-303.
29. Aleskerov, F. (2002c) Simple and simplest semiorders, Doklady Mathematics, 66(3), 465-467.
30. Aleskerov, F. (2003) Threshold Utility, Choice, and Binary Relations, Automation and Remote Control, 64(3), 350-367.
31. Aleskerov, F., Bauman, E. and Vol'skiy, V. (1984) Methods of Processing of Interval Expert Evaluations, Automation and Remote Control, 3, 127-134.
32. Aleskerov, F. and Masathoglu, Y. (1998) Choice and binary relations representable via utility function and supermodular or multiplicative error function, Bogazigi University Working Paper, ISS\ EC-98-02.
33. Aleskerov, F. and Masathoglu, Y. (2003) Utility representation via additive or multiplicative error functions, Discrete Applied Mathematics, 127(2), 181-197.
34. Aleskerov, F. and Schwartz, T. (1992) Threshold maximization and satisficing: the equivalence of two kinds of limited rationality, mimeo unpublished.
35. Aleskerov, F. and Vol'skiy, V. (1987) Choice of the best variants on binary relations and the extremizational choice, Preprints of 10th World Congress on Automatic Control, v. 5, FRG, Munich.
36. Aleskerov, F., Zavalishin, N. and Litvakov, B. (1979) On decomposition of choice functions on a system of simpler functions, Automation and Remote Control, 3, 107-118.
37. Aleskerov, F., Zavalishin, N. and Litvakov, B. (1981) On a decomposition of choice function on the system of interval choices, Automation and Remote Control, 7, 155-160.
38. Armstrong, W. (1939) The determinateness of the utility function, Economic Journal, 49, 453-467.
39. Armstrong, W. (1950) A note on the theory of consumer's behavior, Oxford Economics Papers, N. S., 2, 119-122.
40. Arrow, K. (1959) Rational choice functions and orderings, Economica, 26, 121-127.
41. Arrow, K. (1963) Social Choice and Individual Values, 2nd ed., Yale University Press, New Haven. First edition, 1951, Wiley.
42. Arrow, K. J., Hahn, F. (1971), General competitive analysis, Holden-Day, Oakland.
43. Aumann, R. (1986) Rationality and bounded rationality, Nancy L. Schwartz Memorial Lecture, J. L. Kellogg School of Management, Northwestern University.
44. Baigent, N. and Gaertner, W. (1996) Never choose the uniquely largest: A characterization, Economic Theory, 8, 239-249.
45. Beardon, A. F., Candeal, J. C., Herden, G., Indurain, E., Mehta, G. B. (2002a) Lexicographic decomposition of chains and the concept of a planar chain, Journal of Mathematical Economics, 37, 95-104.
46. Beardon, A. F., Candeal, J. C., Herden, G. Induráin, E., Mehta, G. B., (2002b) The non-existence of a utility function and the structure of non-representable preference relations, Journal of Mathematical Economics, 37, 17-38.
47. Beja, A., Gilboa, I. (1992) Numerical representations of imperfectly ordered preferences (A unified geometric exposition), Journal of Mathematical Psychology, 36, 426-449.
48. Behrendt, G. (1988) Maximal antichains in partially ordered sets, Ars Combinatoria, C (25), 149-157.
49. Bentham, J. (1970) An Introduction to the Principles of Moral and Legislation, Athlone Press, London, First edition, 1789.
50. Beyarslan, Ö. (1999) Choice rationalizable via nondecreasing error function, Boǧaziçi University, M. S. Thesis.
51. Birkhoff, G. (1948) Lattice Theory, American Mathematical Society, Providence, R. I.
52. Bergstrom, T. X. (1975) Maximal elements of acyclic relations on compact sets, Journal of Economic Theory, 10, 403-404.
53. Blair, D. H., Bordes, G., Kelly, J. and Suzumura, K. (1976) Impossibility theorems without collective rationality, Journal of Economic Theory, 13(3), 361-379.
54. Blaug, M. (1997) Economic Theory in Retrospect, 5th edition, Cambridge University Press, Cambridge.
55. Bogart, K. P. (1993) Intervals, Graphs, and Orders, Graph Theory, Notes of the New York Academy of Sciences, 24, 23-42.
56. Bogart, K. (2000) Introductory Combinatorics, Harcourt/Academic Press, San Diego, London.
57. Bordes, G. (1979) Some more results on consistency, rationality and collective choice, in Aggregation and revelation of preferences, J. J. Laffont (ed.), North-Holland, Amsterdam, 175-197.
58. Bosi, G. (2002) Semicontinuous representability of homothetic interval orders by means of two homogeneous functionals, Theory and Decision, 52, 303-312.
59. Bosi, B., Candeal, J. C., Indurain, E., Oloriz, E., Zudaire, M. (2001) Numerical representations of interval orders, Order, 18, 171-190.
60. Bosi, B., Candeal, J. C., Indurain, E., Zudaire, M. (2005) Existence of homogeneous representations of interval orders on a cone in a topological vector space, Social Choice and Welfare, 24, 45-61.
61. Bosi, G., Isler, R. (1995) Representing preferences with nontransitive indifference by a single real-valued function, Journal of Mathematical Economic, 24, 621-631.
62. Bouchet, A. (1971) Etude combinatoire des ordonnes finis; applications, Thèse de doctorat d'etat, Grenoble.
63. Bouchet, A. (1984) Codages et dimensions de relations binaires, in Orders: Descriptions and Roles, M. Pouzet and D. Richard (eds.), Annals of Discrete Mathematics, 23, 387-396.
64. Bouyssou, D. (1990) Building criteria: a prerequisite for MCDA, in Readings in multicriteria decision aid, C. A. Bana e Costa (ed.), Springer Verlag, 58-80.
65. Bouyssou, D., Vansnick, J.-C. (1986) Non compensatory and generalized non compensatory preference structures, Theory and Decision, 21, 251-266.
66. Bouyssou, D., Pirlot, M. (2002) Nontransitive decomposable conjoint measurement, Journal of Mathematical Psychology, 46(6), 677-703.
67. Bouyssou, D., Pirlot, M. (2004a) 'Additive difference' models without additivity and subtractivity, Journal of Mathematical Psychology, 48(4), 263-291.
68. Bouyssou, D., Pirlot, M. (2004b) Preferences for multiattributed alternatives: Traces, dominance, and numerical representations, Journal of Mathematical Psychology, 48(3), 167-185.
69. Bridges, D. S. (1983a) Numerical representation of intransitive preferences on a countable set, Journal of Economic Theory, 30, 213-217.
70. Bridges, D. S. (1983b) A numerical representation of preferences with intransitive indifference, Journal of Mathematical Economics, 11, 25-42.
71. Bridges, D. S. (1985) Representing interval orders by a single realvalued function, Journal of Economic Theory, 36, 149-155.
72. Bridges, D. S. (1986) Numerical representation of interval orders on a topological space, Journal of Economic Theory, 38, 160-166.
73. Bridges, D. S. and Mehta, G. B. (1995) Representation of Preference Orderings, Springer-Verlag, Berlin.
74. Candeal, J. C., Induráin, E., Zudaire, M. (2002) Numerical representability of semiorders, Mathematical Social Sciences, 43, 61-77.
75. Candeal, J. C., Indurain, E., Zudaire, M. (2005) Continuous representability of interval orders, Applied General Topology, 5, 213-230.
76. Cantor, G. (1895) Beitrage zur begrüngüng der transfiniten mengenlehre, Mathematische Annalen, 46, 486-512.
77. Cantor, G. (1915) Contributions to the founding theory of transfinite numbers, Dover, New York.
78. Cegieleski, P. (1987) Historique de la théorie élémentaire des ensembles in Fragments d'histoire des mathematiques, Brochure APEMP 65, 161-210.
79. Chateauneuf, A. (1987) Continuous representation of a preference relation on a connected topological space, Journal Mathematical Economics, 16, 139-146.
80. Chernoff, H. (1954) Rational selection of decision functions, Econometrica, 22, 422-443.
81. Chipman, J. S. (1960) The foundations of utility, Econometrica, 28, 193-224.
82. Clark, S. A. (1990) A folk meta-theorem in the foundations of utility theory, Mathematical Social Sciences, 19(3), 253-267.
83. Cogis, O. (1980) A propos des quasi-ordres, Mathématiques et Sciences Humaines, 72, 107-111.
84. Cogis, O. (1982) Ferrers digraphs and threshold graphs, Discrete Mathematics, 38, 33-46.
85. Cogis, O. (1982) On the Ferrers dimension of a digraph, Discrete Mathematics, 38, 47-52.
86. Condorcet, Marquis de (1785) Essai sur l'application de l'analyse à la probability des decisions rendues a la pluralite des voix, Paris.
87. De Morgan, A. (1864) On the symbols of Logic I, Transactions of the Cambridge Philosophical Society, 9, 78-127.
88. Deb, R. (1983) Binariness and rational choice, Mathematical Social Sciences, 5(1), 97-105.
89. Debreu, G. (1954) Representation of a preference ordering by a numerical function, In: Thrall, R., Coombs, C. H., Davies, R. (eds.), Decision Processes, Wiley, New York, 159-175.
90. Debreu, G. (1964) Continuity properties of Paretian utility. International Economic Review, 5, 285-293.
91. Diaye, M.-A. (1999) Variable interval models, Mathematical Social Sciences, 38(1), 21-33.
92. Diaye, M.-A. (2001) Sur la definition de choix rationnels dans le cas de preferences dependant du contexte, Revue Economique, 52(1), 17-33.
93. Doble, C. W., Doignon, J.-P., Falmagne, J.-C. and Fishburn, P. C. (2001) Almost connected orders, Order, 18, 295-311.
94. Doignon, J.-P. (1984) Generalization of interval orders, in Trends in Mathematical Psychology, E. Degreef and J. Van Buggenhaut (eds.), Elsevier, 209-217.
95. Doignon, J.-P. (1987) Threshold representation of multiple semiorders, SIAM Journal Algebraic and Discrete Methods, 8(1), 77-84.
96. Doignon, J.-P. (1988a) Sur les représentations minimales des semiordres et des ordres d'intervalles, Mathématiques et Sciences Humaines, 101, 49-59.
97. Doignon, J.-P. (1988b) Partial structure of preference, in Non Conventional Preference Relations in Decision Making, J. Kacprzyk and M. Roubens (eds.), Springer Verlag, Berlin.
98. Doignon, J.-P., Ducamp, A. and Falmagne, J.-C. (1984) On realizable biorders and the biorder dimension of a relation, Journal of Mathematical Psychology, 28, 73-109.
99. Doignon, J.-P., Monjardet, B., Roubens, M. and Vincke, Ph. (1986b) Biorder families, valued relations and preference modelling, Journal of Mathematical Psychology, 30, 435-480.
100. Doignon, J.-P., Ducamp, A. and Falmagne, J.-C. (1987) On the separation of two relations by a biorder or a semiorder, Mathematical Social Sciences, 13(1), 73-109.
101. Domotor, Z., Stelzer, J. (1971) Representation of finitely additive semiordered qualitative probability structures, Journal of Mathematical Psychology, 8, 145-168.
102. Ducamp, A., Falmagne, J. C. (1969) Composite measurement, Journal of Mathematical Psychology, 6(3), 359-390.
103. Dushnik, B., Miller, W. (1941) Partially ordered sets, American Journal of Mathematics, 63(5), 600-610.
104. Eilenberg, S. (1941) Odered topological spaces, American Journal of Mathmatics, 63, 39-45.
105. Emel'yanov, S. and Nappelbaum, E. (1977) Methods of study of complex systems 1: Logic of rational choice, Tekhnicheskaya Kibernetika, Itogi nauki i tekhniki, Moscow, 8, 101-187 (in Russian).
106. Estevez Toranzo, M. E., Garcí-Cutrín, J., Lopez Lopez, M. A. (1995) A note on the representation of preferences, Mathematical Social Science, 29, 255-262.
107. Falmagne, J. C. (1985) Elements of Psychophysical Theory, Oxford University Press, Oxford.
108. Fechner, G. T. (1860) Elemente der Psychophysik, Breitkopf und Hartel, Leipzig.
109. Fishburn, P. C. (1970a) Utility Theory for Decision Making, Wiley, New York.
110. Fishburn, P. C. (1970b) Intransitive Indifference with Unequal Indifference Intervals, Journal of Mathematical Psychology, 7, 144-149.
111. Fishburn, P. C. (1970c) Intransitive indifference in preference theory: A survey, Operations Research, 18(2), 207-228.
112. Fishburn, P. C. (1970d) Suborders on commodity spaces, Journal of Economic Theory, 2, 321-328.
113. Fishburn, P. C. (1972) Mathematics for Decision Theory, Mouton, The Hague, Paris.
114. Fishburn, P. C, (1973a) Interval representations for interval orders and semiorders, Journal of Mathematical Psychology, 10, 91-105.
115. Fishburn, P. C. (1973b) Binary choice probabilities on the varieties of stochastic transitivity, Journal of Mathematical Psychology, 10, 327-352.
116. Fishburn, P. C. (1973c) The Theory of Social Choice, Princeton University Press, Princeton.
117. Fishburn, P. C. (1975) Semiorders and Choice Functions, Econometrica, 43(5-6), 975-977.
118. Fishburn, P. C. (1985) Interval Graphs and Interval Orders, John Wiley & Sons, New York.
119. Fishburn, P. C. (1986) Interval models for comparative probability on finite sets, Journal of Mathematical Psychology, 30, 221-242.
120. Fishburn, P. C. (1992) A general axiomatization of additive measurement with applications, Naval Research Logistics, 39(6), 741-755.
121. Fishburn, P. C. (1997) Generalizations of semiorders: A review note, Journal of Mathematical Psychology, 41, 357-366.
122. Fishburn, P. C. (1999) Preference structures and their numerical representations, Theoretical Computer Science, 217, 359-383.
123. Fishburn, P. C, Monjardet, B. (1992) Norbert Wiener on the theory of measurement (1914, 1915, 1921), Journal of Mathematical Psychology, 35(2), 865-885.
124. Fleischer, I. (1960) Numerical representation of utlity, SIAM Journal of Industrial and Applied Mathematics, 9, 45-50.
125. Fodor, J., Roubens, M. (1994) Fuzzy preference modelling and multiple criteria decision support, Kluwer, Dordrecht.
126. Fodor, J., Roubens, M. (1997) Parametrized preference structures and some geometrical interpretation, Journal of Multi-criteria Decision Analysis, 6, 253-258.
127. Gaertner, W. (1987) Consistency in constant and changing environments: A note, Discussion Paper No. 8711, University of Osnabruck.
128. Gaertner, W., Xu, Y. (1999a) On the rationalizability of choice functions: A characterization of the median, Social Choice and Welfare, 16(4), 629-638.
129. Gaertner, W., Xu, Y. (1999b) On the structure of choice under different external references, Economic Theory, 14, 609-620.
130. Gaertner, W., Xu, Y. (2001) Choice and procedures. Discussion Paper No. 2001/05, University of Osnabruck.
131. Georgescu-Roegen, N. (1936) The pure theory of consumer's behavior, Quarterly Journal of Economics, 50, 545-593.
132. Gensemer, S. H. (1987a) Continuous semiorder representations. Journal of Mathematical Economics, 16, 275-289.
133. Gensemer, S. H. (1987b) On relationships between numerical representations of interval orders and semiorders, Journal of Economic Theory, 43, 157-169.
134. Gensemer, S. H. (1988) On numerical representations of semiorders. Mathematical Social Sciences, 15, 277-286.
135. Golumbic, M. C. (1980) Algorithmic graph theory and perfect graphs, Academic Press, New York.
136. Guilbaud, G.-Th. (1954) Legons sur les éléments principaux de la théorie mathématique des jeux, Éditions du CNRS, Paris.
137. Halphen, E. (1955) La notion de vraisemblance, Publications de I'ISUP, 41(1), 41-92.
138. Hausdorff, F. (1914) Grundziige der Mengenlehere, Leipzig.
139. Herden, G. (1989) On the existence of utility functions, Mathematical Social Sciences, 17, 297-314.
140. Herrero, C. and Subiza, B. (1999) Set-valued utilities for strict partial orders, Journal of Mathematical Psychology, 43, 433-440.
141. Herzberger, H. G. (1973) Ordinal preference and rational choice, Econometrica, 41(2), 187-237.
142. Horvath, C. D., Llinares Ciscar, J. V. (1996) Maximal elements and fixed points for binary relations on topological ordered spaces, Journal of Mathematical Economics, 25, 291-306.
143. Houthakker, H. S. (1950) Revealed preference and the utility function, Economica, 17, 159-174.
144. Huntington, E. V. (1905) The continuum as a type of order, Annals of Mathematics, 6, 151-184.
145. Jamison, D. T., Lau, L. J. (1973) Semiorders and the theory of choice, Econometrica, 41(5), 901-912.
146. Jamison, D. T., Lau, L. J. (1975) Semiorders and the theory of choice: a correction, Econometrica, 43, 975-977.
147. Jacquet-Lagrèze, É. (1974) How we can use the notion of semiorder to build outranking relations in multicriteria decision making, Metra, 13(1), 59-86.
148. Jacquet-Lagrèze, É. (1978) Représentations de quasi-ordres et de relations probabilistes transitives sous forme standard et méthodes d'approximation, Mathematiques et Sciences Humaines, 63, 5-24.
149. Jaffray, J.-Y. (1975a) Existence of a continuous utility function: An elementary proof, Econometrica, 43, 981-983.
150. Jaffray, J.-Y. (1975b) Semicontinuous extension of a partial order, Journal of Mathematical Economics, 2, 395-406.
151. Kahneman, D., Tversky, A. (2000) Choice, Values and Frames, Cambridge University Press, Cambridge.
152. Kelley, J. (1955) General Topology, Van Nostrand Reinhold, New York.
153. Knoblauch, V. (1998) Order isomorphisms for preferences with intransitive indifference, Journal of Mathematical Economics, 30, 421-431.
154. Krantz, D. H. (1967) Extensive measurement in semiorders, Philosophy of Science, 34, 348-362.
155. Krantz, D. H., Luce, R. D., Suppes, P., Tversky, A. (1971) Foundations of measurement, Vol. 1: Additive and polynomial representations, Academic Press, New York.
156. Kreps, D. (1988) Notes on the Theory of Choice, Vestview Press, Boulder and London.
157. Kim, K. H., Roush, F. W. (1979) Characterization of certain choice functions, Journal of Economic Theory, 20(2), 271-275.
158. Laslier, J.-F. (1997) Tournament solutions and majority voting, Springer-Verlag, Berlin.
159. Le Menestrel, M., Lemaire, B. (2004) Biased extensive measurement, Journal of Mathematical Psychology, 48, 9-14.
160. Llinares, J.-V. (1998) Unified treatment of the problem of existence of maximal elements in binary relations: A characterization, Journal of Mathematical Economics, 29, 285-302.
161. Llinares, J.-V., Sanchez, M. C. (1999) Non-binary choice functions on non-compact sets, Economics Letters, 63, 29-32.
162. Luce, R. D. (1956) Semi-orders and a theory of utility discrimination, Econometrica, 24(2), 178-191.
163. Luce, R. D. (1973) Three axiom systems for additive semiordered structures, SI AM Journal of Applied Mathematics, 25, 41-53.
164. Luce, R. D., Raiffa, H. (1957) Games and Decisions, Wiley, New York
165. Luck, U. (2004) Representing interval orders by arbitrary real intervals, Tech. rep., Department of Philosophy, University of Munich.
166. Malishevski, A. (1998) Qualitative Models in the Theory of Complex Systems, Nauka, Moscow.
167. Manders, K. L. (1981) On JND representations of semiorders, Journal of Mathematical Psychology, 24, 224-248.
168. Manzini, P., Mariotti, M. (2003) How vague one can be? Rational preferences without completeness or transitivity, Working paper, Queen Mary, University of London.
169. Masathoglu, Y. (2002) Binary relations representable via utility function and multiplicative error function, Information Sciences, 144, 187-200.
170. May, K. O. (1954) Intransitivity, utility and the aggregation of preference patterns, Econometrica, 22(1), 1-13.
171. Mas-Colell, A., Whinston, M., Green, J. (1995) Microeconomic Theory, Oxford University Press, London.
172. Mehta, G. B. (1998) Preference and utility, In: Barbera, S., Hammond, P. J., Seidl, C. (Eds.), Handbook of Utility Theory. Vol. 1. Kluwer Academic Publishers, Dordrecht, 1-47.
173. Milgram, A. N. (1939) Partially ordered sets, separating systems and inductiveness, In: Menger, K. (Ed.), Reports of a Mathematical Colloquium. Second series, number 1. University of Notre Dame, 18-30.
174. Mirkin, B. G. (1972) Description of some relations on the set of real-line intervals, Journal of Mathematical Psychology, 9, 243-252.
175. Mirkin, B. G., (1979) Group Choice, Winston, New York.
176. Monjardet, B. (1978) Axiomatiques et proprietes des quasi-ordres, Mathematiques et Sciences Humaines, 63, 51-82.
177. Monjardet, B. (1984) Probabilistic consistency, homogeneous families of relations and linear-relations, in Trends in Mathematical Psychology, E. Degreef et J. van Buggenhaut (eds.), North-Holland, 271-281.
178. Monjardet, B. (1988) Intervals, intervals. Order, 5, 211-219.
179. Monjardet, B., Raderanirina V. (2001) The duality between the antiexchange closure operators and the path-independent choice operators on a finite set, Mathematical Social Sciences, 41, 131-150.
180. Moulin, H. (1985) Choice functions over a finite set: A summary, Social Choice and Welfare, 2, 147-160.
181. Moulin, H. (1988) Axioms of Cooperative Decision Making, Cambridge University Press, Cambridge.
182. Mohring, R. H. (1984) Algorithmic aspects of comparability graphs and interval graphs, in Graphs and orders, I. Rival (ed.), D. Reidel, Dordrecht, 41-101.
183. Munkress, J. R. (1975) Topology: A first course, Prentice-Hall, Engelwood Cliffs.
184. Nakamura, Y. (1988), Expected utility with an interval order structure. Journal of Mathematical Psychology, 32, 298-312.
185. Nakamura, Y. (2000) Thresholds models for comparative probability on finite sets, Journal of Mathematical Psychology, 44, 353-382.
186. Nakamura, Y. (2002a) Real interval representations, Journal of Mathematical Psychology, 46, 140-177.
187. Nakamura, Y. (2002b) Semimetric thresholds for finite posets, Mathematical Social Sciences, 44, 37-43.
188. Narens, L. (1994) The measurement theory of dense threshold structures. Journal of Mathematical Psychology, 38, 301-321.
189. Nash, J. F., Jr. (1950) The bargaining problem, Econometrica, 18(2), 155-162.
190. Nehring, K. (1996) Maximal elements of non-binary choice functions on compact sets, Economics Letters, 50, 337-340.
191. Ok, E. A. (2002) Utility representation of an incomplete preference relation, Journal of Economic Theory, 104, 429-449.
192. Oloriz, E., Candeal, J. C., Indurain, E. (1998) Representability of interval orders, Journal of Economic Theory, 78, 219-227.
193. Ozbay, E. (2000) Numerical representation of binary relations with multiplicative error function: A general case, Boǧaziçi University Working Paper, ISS/EC-00-05, June, Istanbul, Turkey.
194. Ozbay, E. Y. (2002) Numerical Representation of Binary Relations with Multiplicative Error Function: A General Case, in Constructing and Applying Objective Functions, A. Tangian, J. Gruber (eds.), Springer, Berlin, 75-88.
195. Ozbay, E. Y., Filiz, E. (2005) A representation for intransitive indifference relations, Mathematical Social Sciences, 50, 202-214.
196. Pareto, V. (1889) Cours d'Economie Politique, Rouge, Lausanne.
197. Pareto, V. (1909) Manuel d'Economie Politique, V. Giard and E. Briere, Paris.
198. Peirce, C. S. (1880) On the algebra of logic, American Journal of Mathematics, 3, 15-57.
199. Peirce, C. S. (1881) On the logic of number, American Journal of Mathematics, 4, 85-95.
200. Peirce, C. S. (1883) A theory of probable inference. Note B: the logic of relatives, in Studies in logic by members of the John Hopkins University, 187-203, Boston.
201. Peirce, C. S. (1897) The logic of relatives, The Monist, 7, 85-95.
202. Peleg, B. (1970) Utility functions for partially ordered spaces, Econometrica, 38, 257-289.
203. Peris, J. E., Subiza, B. (1995) A weak utility function for acyclic preferences, Economics Letters, 48, 21-24.
204. Perny, P., Roy, B. (1992) The use of fuzzy outranking relations in preference modelling, Fuzzy Sets and Systems, 49, 33-53.
205. Pirlot, M. (1997) Minimal representation of a semiorder, Theory and Decision, 28, 109-141.
206. Pirlot, M., Vincke, Ph. (1997) Semiorders: Properties, Representations, Applications. Kluwer Academic Publishers, Dordrecht.
207. Plott, C. R. (1973) Path independence, rationality and social choice, Econometrica, 41(6), 1075-1091.
208. Poincare, H. (1903) La Valeur de la Science, Flammarion, Paris.
209. Rabinovitch, I. (1977) The Scott-Suppes theorem on semiorders, Journal of Mathematical Psychology, 15, 209-212.
210. Raderanirina, V. (2001) Treillis et agregation de families de Moore et de fonctions choix, Thèse de doctorat, Université de Paris I, Paris.
211. Richter, M. K. (1966) Revealed preference theory, Econometrica, 34, 635-645.
212. Richter, M. K. (1971) Rational choice, in Preference, Utility and Demand, J. S. Chipman, L. Hurwicz, M. K. Richter and H. F. Sonnenshein (eds.), Harcourt Brace Jovanovich, New York.
213. Riguet, J. (1951) Les relations de Ferrers, C. R. Academie des Sciences, 232, 1729-1730.
214. Roberts, F. S. (1970) On Nontransitive Indifference, Journal of Mathematical Psychology, 7, 243-258.
215. Roberts, F. S. (1976) Discrete Mathematical Models, Prentice-Hall, Englewood Cliffs.
216. Roberts, F. S. (1979a) Measurement theory, in Encyclopedia of Mathematics and its Applications, Vol. 7, Addison-Wesley, London.
217. Roberts, F. S. (1979b) Homogeneous families of semiorders and the theory of probabilistic consistency, Journal of Mathematical Psychology, 8, 248-263.
218. Rodriguez-Palmero, C. (1997) A representation of acyclic preferences, Economic Letters, 54, 143-146.
219. Roubens, M., Vincke, Ph. (1983) Linear orders and semi-orders close to an interval order, Discrete Applied Mathematics, 6, 311-314.
220. Roubens, M., Vincke Ph. (1985) Preference Modelling, 3tLecture Notes in Economics and Mathematical Systems, Springer, Berlin.
221. Roy, B. (1969) Algebre moderne et theorie des graphes, vol. I, Dunod, Paris.
222. Roy, B. (1970) Algebre moderne et theorie des graphes, vol. II, Dunod, Paris.
223. Roy, B. (1977) Partial preference analysis and decision aid: The fuzzy outranking relation concept, in Conflicting Objectives in Decision, D. E. Bell, R. L. Keeny and H. Raiffa (eds.), Wiley, 40-75.
224. Roy, B. (1985) Méthodologie multicritère d'aide à la décision, Economica, Paris. English translation: Multicriteria Methodology for Decision Making, Kluwer, Dordrecht, 1996.
225. Roy, B., Bouyssou, D. (1993) Aide Multicritère à la Décision: Méthodes et Cas, Economica, Paris.
226. Roy, B., Vincke, Ph. (1987) Pseudo-orders: Definition, properties and numerical representation, Mathematical Social Sciences, 14(3), 263-274.
227. Sanchez, M. C., Llinares, J.-V., Subiza, B. (2004) A KKM result and an application for binary and non-binary choice functions, Economic Theory, 21, 185-193.
228. Samuelson, P. A. (1938) A note on the pure theory of consumers behavior, Economica, 5, 61-71, 353-354.
229. Samuelson, P. A. (1950) The problem of the integrability in utility, Economica, 17(68), 355-385.
230. Schroder, E. (1890-1895) Vorlesungen uber die Algebra der Logik, Vol. 3, Leipzig.
231. Schwartz, T. (1972) Rationality and the myth of maximum, Nôus, 6, 97-117.
232. Schwartz, T. (1976) Choice functions, 'rationality' conditions, and variations of the weak axiom of revealed preference, Journal of Economic Theory, 13(3), 414-427.
233. Scott, D. (1964) Measurement structures and linear inequalities, Journal of Mathematical Psychology, 1, 233-247.
234. Scott, D., Suppes, P. (1958) Foundational aspects of theories of measurement, Journal of Symbolic Logic, 23, 113-128.
235. Sen, A. (1970) Collective Choice and Social Welfare, Holden Day, San-Francisco.
236. Sen, A. (1971) Choice functions and revealed preference, Review of Economic Studies, 38(3), 307-317.
237. Sen, A. (1987) Rational behavior, in The New Palgrave: A Dictionary of Economics, J. Eatwell, M. Milgate and P. Newman (eds.), 4, 68-76, Macmillan, London.
238. Sen, A. (1993) Internal consistency of choice, Econometrica, 61(3), 495-521.
239. Sen, A. (1994) The formulation of rational choice, American Economic Review, 84, 385-390.
240. Sen, A. (1997) Maximization and the act of choice, Econometrica, 65(4), 745-779.
241. Shreider, Y. A. (1971) Equity, Similarity, Order, Nauka, Moscow (in Russian).
242. Sileo, P. W. (1995) Intransitivity of indifference, strong monotonicity and the endowment effect, Journal of Economic Theory, 66, 198-223.
243. Simon, H. (1982) Models of Bounded Rationality, Collected papers, The MIT Press, Cambridge, MA.
244. Sondermann, D. (1980) Utility representations for partial orders, Journal of Economic Theory, 23, 183-188.
245. Subiza, B. (1994) Numerical representation of acyclic preferences, Journal of Mathematical Psychology, 38, 467-476.
246. Subiza, B., Peris, J. E. (1997) Numerical representation for lower quasicontinuous preferences, Mathematical Social Sciences, 33, 149-156.
247. Suppes, P., Krantz, D. H., Luce, R. D., Tversky, A. (1989) Foundations of measurement, vol. 2: Geometrical, threshold, and probabilistic representations. Academic Press, New York.
248. Suzumura, K. (1976) Rational choice and revealed preferences, Review of Economic Studies, 44(1), 38-47.
249. Suzumura, K. (1977) Houthakker's axiom in the theory of rational choice, Journal of Economic Theory, 14(2), 284-290.
250. Suzumura, K. (1983) Rational Choice, Collective Decisions and Social Welfare, Cambridge University Press, Cambridge.
251. Szpilrajn, E. (1930) Sur l'extension de l'ordre partiel, Fundamenta Mathematicae, 16, 386-389.
252. Swistak, P. (1980) Some representation problems for semiorders, Journal of Mathematical Psychology, 21, 124-135.
253. Tian, G. (1993) Necessary and sufficient conditions for the existence of maximal elements of preference relations, Review of Economic Studies, 60, 949-958.
254. Tian, G., Zhou, J. (1995) Transfer continuities, generalizations of the Weierstrass and maximum theorems: A full characterization, Journal of Mathematical Economics, 24, 281-303.
255. Trotter, W. T. (1992) Combinatorics and partially ordered sets, John Hopkins University Press, Baltimore.
256. Tversky, A. (1969) Intransitivity of preferences, Psychological Review, 76, 31-48.
257. Van Acker, P. (1990) Transitivity revisited, The Annals of Operations Research, 23, 1-36.
258. Uzawa, H. (1957) Note on preference and axioms of choice, Annals of the Institute of Statistical Mathematics, 8, 35-41.
259. Vincke, Ph. (1980) Linear utility function on semiordered mixture spaces, Econometrica, 48, 771-775.
260. Vincke, Ph. (1988) P, Q, I preference structures, in Non conventional
261. Vincke, Ph. (1999) Outranking approaches, in Multicriteria decisionmaking, Advances in MCDM Models, Algorithms, Theory and Applications, in T. Gal, T. J. Stewart and Th. Hanne (eds.), Kluwer, Boston, 11.1-11.30.
262. Whitehead, A. N., Russel, B. (1910) Principia Mathematica tl, Cambridge University Press, Cambridge.
263. Wiener, N. (1914) A contribution to the theory of relative position, Proceedings of the Cambridge Philosophical Society, 17, 441-449.
264. Wiener, N. (1915) Studies in synthetic logic, Proceedings of the Cambridge Philosophical Society, 18, 14-28.
265. Wiener, N. (1921) A new theory of measurement: a study in the logic of the mathematics, Proceedings of the London Mathematical Society, 19, 181-205.
266. Zhou, J. X. (1994) Extension of the Zorn lemma to general nontransitive binary relations, Journal of Optimization Theory and Applications, 80, 333-347.