Analysis and shifting of stochastically stable equilibria for evolutionary snowdrift games

Systems and Control Letters

Volumn 85, Issue , 2015, Pages 16-22

  Liang, Haili ^a,b   Cao, Ming ^b   Wang, Xiaofan ^a  

^a Department of Automation   (China)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Cooperation vs defection; Evolutionary games; Stochastic stability

Indexed keywords

COOPERATION VS DEFECTION; COST AND BENEFITS; EVOLUTIONARY GAMES; NUMERICAL COMPUTATIONS; STABLE EQUILIBRIUM; STOCHASTIC STABILITY; STOCHASTICALLY STABLE EQUILIBRIUM; THEORETICAL BIOLOGY;

STOCHASTIC SYSTEMS;

EID: 84941272325     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2015.08.004     Document Type: Article

References (26)

1. W.H. Sandholm Population Games and Evolutionary Dynamics 2010 MIT Press Boston
2. B. Skyrms Evolution of the Social Contract 2014 Cambridge University Press
3. R.B. Myerson Game Theory 2013 Harvard University Press
4. J.W. Weibull Evolutionary Game Theory 1997 MIT Press
5. J.M. Smith Evolution and the Theory of Games 1982 Cambridge University Press
6. P.D. Taylor, and L.B. Jonker Evolutionary stable strategies and game dynamics Math. Biosci. 40 1 1978 145 156
7. P. Schuster, and K. Sigmund Replicator dynamics J. Theoret. Biol. 100 3 1983 533 538
8. M.A. Nowak, and K. Sigmund Evolutionary dynamics of biological games Science 303 5659 2004 793 799
9. C. Hauert, F. Michor, M.A. Nowak, and M. Doebeli Synergy and discounting of cooperation in social dilemmas J. Theoret. Biol. 239 2 2006 195 202
10. C. Hauert, A. Traulsen, H. Brandt, M.A. Nowak, and K. Sigmund Via freedom to coercion: the emergence of costly punishment Science 316 5833 2007 1905 1907
11. K.H. Lee, C.H. Chan, P.M. Hui, and D.F. Zheng Cooperation in n-person evolutionary snowdrift game in scale-free barabási-albert networks Physica A 387 22 2008 5602 5608
12. C.S. Gokhale, and A. Traulsen Evolutionary games in the multiverse Proc. Natl. Acad. Sci. 107 12 2010 5500 5504
13. M. Doebeli, and C. Hauert Models of cooperation based on the prisoner's dilemma and the snowdrift game Ecol. Lett. 8 7 2005 748 766
14. J.M. Smith, and G.R. Price The logic of animal conflict Nature 246 1973 15
15. C. Hauert, M. Doebeli, and T. Killingback The evolutionary origin of cooperators and defectors Science 306 5697 2004 859 862
16. M.O. Souza, J.M. Pacheco, and F.C. Santos Evolution of cooperation under N-person snowdrift games J. Theoret. Biol. 260 4 2009 581 588
17. M.D. Santos, F.L. Pinheiro, F.C. Santos, and J.M. Pacheco Dynamics of N-person snowdrift games in structured populations J. Theoret. Biol. 315 1 2012 81 86
18. D. Foster, and P. Young Stochastic evolutionary game dynamics Theor. Popul. Biol. 38 2 1990 219 232
19. M. Kandori, G.J. Mailath, and R. Rob Learning, mutation, and long run equilibria in games Econometrica 61 1 1993 29 56
20. G. Ellison Learning, local interaction, and coordination Econometrica 61 5 1993 1047 1071
21. G. Ellison Basins of attraction, long-run stochastic stability, and the speed of step-by-step evolution Rev. Econom. Stud. 67 1 2000 17 45
22. O.W. Elliot, The long-run stability of collective action. Draft, 2013.
23. J.I. Freidlin, J. Szucs, and A.D. Wentzell Random Perturbations of Dynamical Sytems 2012 Springer New York
24. R.J. Boik, and J.F. Robinson-Cox Derivatives of the incomplete beta function J. Stat. Softw. 3 1 1998 1 20
25. D.M. Hamby A review of techniques for parameter sensitivity analysis of environmental models Environ. Monit. Assess. 32 2 1994 135 154
26. J.R. Riehl, and M. Cao Towards optimal control of evolutionary games on networks IEEE Trans. Automat. Control 2015 under review