Effects of neighbourhood size and connectivity on the spatial Continuous Prisoner's Dilemma

Journal of Theoretical Biology

Volumn 231, Issue 1, 2004, Pages 97-106

  Ifti, Margarita ^a,c   Killingback, Timothy ^b   Doebeli, Michael ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b ETH ZURICH   (Switzerland)

^c UNIVERSITY OF TIRANA   (Albania)

Author keywords

Continuous; Lattice; Network; Prisoner's Dilemma; Spatial

Indexed keywords

THEORETICAL STUDY;

ARTICLE; CLUSTER ANALYSIS; COOPERATION; EVOLUTION; LEARNING; PARTICLE SIZE; PRIORITY JOURNAL;

ANIMALS; COOPERATIVE BEHAVIOR; ENVIRONMENT; GAME THEORY; SOCIAL ENVIRONMENT;

EID: 4444229348     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jtbi.2004.06.003     Document Type: Article

References (43)

1. R. Albert, and A.-L. Barabási Statistical mechanics of complex networks Rev. Mod. Phys. 74 2002 47 97
2. L.A.N. Amaral, A. Scala, M. Barthélémy, and E.H. Stanley Classes of small-world networks Proc. Natl Acad. Sci. USA. 97 2000 11149 11152
3. R. Axelrod The Evolution of Cooperation 1984 Basic Books New York
4. A.-L. Barabási, H. Jeong, Z. Néda, E. Ravasz, A. Schubert, and T. Vicsek Evolution of the social network of scientific collaborations Physica A 311 2002 590 614
5. B. Bollobás Random Graphs 1985 Academic Press London
6. L.W. Buss The Evolution of Individuality 1997 Princeton University Press Menlo Park, CA
7. J. Davidsen, H. Ebel, and S. Bornholdt Emergence of a small world from local interactions modeling acquaintance networks Phys. Rev. Lett. 88 2002 128701 128704
8. M. Doebeli, and N. Knowlton The evolution of interspecific mutualism Proc. Natl Acad. Sci. USA 95 1998 8676 8680
9. S.N. Dorogovtsev, and J.F.F. Mendes Evolution of networks Adv. Phys. 51 2002 1079 1187
10. L.A. Dugatkin Cooperation Among Animals 1997 Oxford University Press Oxford
11. H. Ebel, J. Davidsen, and S. Bornholdt Dynamics of social networks Complexity 8 2 2002 24 27
12. H. Ebel, L.-I. Mielsch, and S. Bornholdt Scale-free topology of e-mail networks Phys. Rev. E 66 2002 035103(R) 035106(R)
13. M. Eigen, and P. Schuster The Hypercycle A Principle of Natural Self-Organization 1979 Springer Berlin
14. J.M. Epstein Zones of cooperation in demographic prisoner's dilemma Complexity 4 2 1998 36 48
15. M.A. Gibson, and J. Bruck Efficient exact stochastic simulation of chemical systems with many species and many channels J. Phys. Chem. A 104 2000 1876 1889
16. J.M. Guttman Rational actors, tit-for-tat types, and the evolution of cooperation J. Econ. Behav. Org. 29 1 1996 27 56
17. W.D. Hamilton The genetical evolution of social behavior I J. Theor. Biol. 7 1964 1 16
18. W.D. Hamilton The genetical evolution of social behavior II J. Theor. Biol. 7 1964 17 52
19. B. Hart, and L. Hart Reciprocal allogrooming in impala Anim. Behav. 44 1992 1073 1083
20. A. Irwin, and P. Taylor Evolution of altruism in stepping-stone populations with overlapping generations Theor. Popul. Biol. 60 2001 315 325
21. Y. Iwasa, M. Nakamaru, and S.A. Levin Allelopathy of bacteria in a lattice population competition between colicin-sensitive and colicin-producing strains Evol. Ecol. 12 1998 785 802
22. T. Killingback, and M. Doebeli Spatial evolutionary game theory hawks and doves revisited Proc. R. Soc. London B 263 1996 1135 1144
23. T. Killingback, and M. Doebeli Cooperation with variable investment Am. Nat. 160 2002 421 438
24. T. Killingback, M. Doebeli, and N. Knowlton Variable investment, the Continuous Prisoner's Dilemma, and the origin of cooperation Proc. R. Soc. London B 266 1430 1999 1723 1728
25. K. Lindgren, and M.G. Nordahl Evolutionary dynamics of spatial games Physica D 75 1994 292 309
26. J. Maynard Smith, and E. Szathmáry The Major Transitions in Evolution 1995 W.H. Freeman & Co Oxford
27. R. Michod Population biology of the first replicators the origin of genotype, phenotype, and organism Am. Zool. 23 1983 5 14
28. J.H. Miller The coevolution of automata in repeated prisoner's dilemma J. Econ. Behav. Org. 29 1 1996 87 112
29. M. Nakamaru, H. Matsuda, and Y. Iwasa The evolution of cooperation in a lattice-structured population J. Theor. Biol. 184 1997 65 81
30. M. Nakamaru, H. Nogami, and Y. Iwasa Score-dependent fertility model for the evolution of cooperation in a lattice J. Theor. Biol. 194 1998 101 124
31. M.E.J. Newman Scientific collaboration networks II. Shortest paths, weighted networks, and centrality Phys. Rev. E 64 2001 016132 016138
32. M.A. Nowak, and R.M. May Evolutionary games and spatial chaos Nature 359 1992 826 829
33. G. Roberts, and T.N. Sherratt Development of cooperative relationships through increased investment Nature 394 1998 175 179
34. S.H. Strogatz Exploring complex networks Nature 410 2001 268 276
35. G. Szabó, and C. Hauert Evolutionary PD games with voluntary participation Phys. Rev. E 66 2002 062903 062906
36. G. Szabó, and C. Hauert Phase transitions and volunteering in spatial public goods games Phys. Rev. Lett. 89 2002 118101 118104
37. R. Trivers The evolution of reciprocal altruism Q. Rev. Biol. 46 1971 35 57
38. L.M. Wahl, and M.A. Nowak The continuous prisoner's dilemma I. Linear reactive strategies J. Theor. Biol. 200 3 1999 307 321
39. L.M. Wahl, and M.A. Nowak The continuous prisoner's dilemma II. Linear reactive strategies J. Theor. Biol. 200 3 1999 323 338
40. D.J. Watts Small Worlds The Dynamics of Networks between Order and Randomness 1998 Princeton University Press Princeton, NJ
41. D.J. Watts, and S.H. Strogatz Collective dynamics of 'small-world' networks Nature 393 1998 440 442
42. G.S. Wilkinson Reciprocal food-sharing in the vampire bat Nature 308 1984 181 184
43. D.S. Wilson The Natural Selection of Populations and Communities 1980 Benjamin Cummings Menlo Park, CA