On some variants of prisoner's dilemma dynamics

Applied Mathematics and Computation

Volumn 163, Issue 1, 2005, Pages 163-168

  Ahmed, E ^a,b   Hegazi, A S ^a   Elgazzar, A S ^c  

^a Mansoura University   (Egypt)

^b UNITED ARAB EMIRATES UNIVERSITY   (United Arab Emirates)

^c Faculty of Education   (Egypt)

Author keywords

Imitation dynamics; Prisoner's dilemma game; Smale's game

Indexed keywords

ASYMPTOTIC STABILITY; BEHAVIORAL RESEARCH; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBABILITY; PROBLEM SOLVING;

IMITATION DYNAMICS; PRISONER'S DILEMMA GAME; SMALE'S GAME;

GAME THEORY;

EID: 12444276708     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.01.025     Document Type: Article

References (9)

1. Ahmed E., Hegazi A.S. On discrete dynamical systems associated to games. Adv. Complex Syst. 4:2000;423-430
2. Hauert C., De Monte S., Hofbauer J., Sigmund K. Replicator dynamics for optional public good games. J. Theor. Biol. 218:2002;187-194
3. Hofbauer J., Sigmund K. Evolutionary Games and Population Dynamics. 1998;Cambridge University Press, UK
4. May R.M., Nowak M. The spatial dilemmas of evolution. Int. J. Bifurc. Chaos. 3:1993;35
5. Smith M. Evolution and Theory of Games. 1982;Cambridge University Press, UK
6. Morgan J., Steiglitz K. Pairwise competition and the replicator equation. Bull. Math. Biol. 65:2003;1163
7. Page K.M., Nowak M.A. Empathy leads to fairness. Bull. Math. Biol. 64:2002;1101-1116
8. Y. Sato, J.P. Crutchfield, Coupled replicator equations for the dynamics of learning in multiagent systems, Nlin AO/0204057, 2002
9. Smale S. The prisoners' dilemma and dynamical systems associated to games. Econometrica. 48:1980;1617