Evolutionary dynamics of collective action when individual fitness derives from group decisions taken in the past

Journal of Theoretical Biology

Volumn 298, Issue , 2012, Pages 8-15

  Moreira, João A ^a   Pinheiro, Flávio L ^a   Nunes, Ana ^b,d   Pacheco, Jorge M ^a,c  

^a Universidade de Lisboa   (Portugal)

^b Centro de Fisica da Materia Condensada   (Portugal)

^c UNIVERSITY OF MINHO   (Portugal)

^d UNIVERSITY OF LISBON   (Portugal)

Author keywords

Delay differential equations; Evolution of collective action; Evolutionary game theory; N Person Stag Hunt game; Public goods games

Indexed keywords

BIOLOGY; COOPERATIVE BEHAVIOR; EVOLUTIONARY THEORY; FITNESS; GAME THEORY; POPULATION SIZE; THEORETICAL STUDY;

ARTICLE; CONTROLLED STUDY; COOPERATION; EVOLUTIONARY DYNAMICS; FINITE POPULATION SIZE EFFECT; MATHEMATICAL MODEL; N-PERSON STAG HUNT DILEMMA; OUTCOME ASSESSMENT; POPULATION DYNAMICS; POPULATION SIZE; PRIORITY JOURNAL; REPLICATOR DYNAMICS; TIME DELAY;

ANIMALS; BIOLOGICAL EVOLUTION; COOPERATIVE BEHAVIOR; GAME THEORY; GROUP PROCESSES; MODELS, GENETIC; POPULATION DENSITY;

EID: 84855791955     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2011.12.027     Document Type: Article

References (22)

1. Alboszta J., Mieçkisz J. Stability of evolutionarily stable strategies in discrete replicator dynamics with time delay. J. Theor. Biol. 2004, 231:175-179.
2. Freedman H.L., Rao, V., Sree Hari The trade-off between mutual interference and time lags in predator-prey systems. Bull. Math. Biol. 1983, 45:991-1004.
3. Gyori I., Ladas G.E. Oscillation Theory of Delay Differential Equations: With Applications 1991, Oxford University Press.
4. Kuang Y. Delay Differential Equations: With Aplications in Population Dynamics 1993, Academic Pr.
5. MacDonald N. Time Lags in Biological Models 1978, Springer-Verlag.
6. McNamara J.M., Barta Z., Houston A.I. Variation in behaviour promotes cooperation in the Prisoner's dilemma game. Nature 2004, 428:745-748.
7. Mieçkisz J., Wesołowski S. Stochasticity and Time delays in evolutionary games. Dyn. Games Appl. 2011, 1:440-448.
8. Nowak M.A., May R.M. Evolutionary games and spatial chaos. Nature 1992, 359:826-829.
9. Pacheco J.M., Pinheiro F.L., Santos F.C. Population structure induces a symmetry breaking favoring the emergence of cooperation. PLoS comput. biol. 2009, 5:e1000596.
10. Pacheco J.M., Santos F.C., Souza M.O., Skyrms B. Evolutionary dynamics of collective action in n-person stag hunt dilemmas. Proc. R. Soc. B: Biol. Sci. 2009, 276:315.
11. Pacheco J.M., Santos F.C., Souza M.O., Skyrms B. Evolutionary dynamics of collective action in N-Person stag hunt dilemmas. Proc. Biol. Sci. 2009, 276:315-321.
12. Perc M., Szolnoki A. Social diversity and promotion of cooperation in the spatial prisoner's dilemma game. Phys. Rev. E 2008, 77:011904.
13. Santos F.C., Pacheco J.M. Scale-free networks provide a unifying framework for the emergence of cooperation. Phys. Rev. Lett. 2005, 95:98104.
14. Santos F.C., Pacheco J.M. Risk of collective failure provides an escape from the tragedy of the commons. Proc. Natl. Acad. Sci. USA 2011, 108:10421-10425.
15. Santos F.C., Rodrigues J.F., Pacheco J.M. Graph topology plays a determinant role in the evolution of cooperation. Proc. R. Soc. B: Biol. Sci. 2006, 273:51.
16. Santos F.C., Santos M.D., Pacheco J.M. Social diversity promotes the emergence of cooperation in public goods games. Nature 2008, 454:213-216.
17. Santos F.C., Pinheiro F.L., Lenaerts T., Pacheco J.M. Role of diversity in the evolution of cooperation. J. Theor. Biol 2011, in press.
18. Souza M.O., Pacheco J.M., Santos F.C. Evolution of cooperation under N-person snowdrift games. J. Theor. Biol. 2009, 260:581-588.
19. Sugden R. Economics of Rights Co-operation and Welfare 1986, Oxford.
20. Szabo G., Fath G. Evolutionary games on graphs. Phys. Rep. 2007, 446:97-216.
21. Van Segbroeck S., Santos F.C., Lenaerts T., Pacheco J.M. Reacting differently to adverse ties promotes cooperation in social networks. Phys. Rev. Lett. 2009, 102:58105.
22. Yi T., Zuwang W. Effect of time delay and evolutionarily stable strategy. J. Theor. Biol. 1997, 187:111-116.