Evolutionary game theory

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Evolutionary game theory (EGT) is the application of population genetics-inspired models of change in gene frequency in populations to game theory. It differs from classical game theory by focusing on the dynamics of strategy change more than the properties of strategy equilibria. Despite its name, evolutionary game theory is practised more by economists than biologists.

The common methodology to study the evolutionary dynamics in games is through replicator equations. Replicator equations assume infinite populations, continuous time, complete mixing and that strategies breed true. The attractors (stable fixed points) of the equations are equivalent with evolutionarily stable states.

[edit] See also

• Adaptive dynamics
• Behavioral ecology
• Dynamical systems
• Evolution and the Theory of Games (a book)
• Evolutionary stable strategy

[edit] References

• Maynard Smith, J. (1982) Evolution and the Theory of Games.
• P. Hammerstein and R. Selten, "Game theory and evolutionary biology", in Handbook of Game Theory with Economic Applications, R. J. Aumann and S. Hart, Eds. (Elsevier, Amsterdam, 1994), vol. 2, pp. 929-993
• Hofbauer, J. and Sigmund, K. (1998) Evolutionary games and population dynamics, Cambridge University Press
• Taylor, P. D. (1979). Evolutionarily Stable Strategies with Two Types of Players J. Appl. Prob. 16, 76-83.
• Taylor, P. D., and Jonker, L. B. (1978). Evolutionarily Stable Strategies and Game Dynamics Math. Biosci. 40, 145-156.
• Weibull, J. W. (1995) Evolutionary game theory, MIT Press

[edit] External links

• EGT at the Stanford Encyclopedia of Philosophy
• Evolving Artificial Moral Ecologies at The Centre for Applied Ethics, University of British Columbia
• Evolutionary game theory at the Open Directory Project

v • d • e Topics in population genetics
Key concepts	Hardy-Weinberg law • genetic linkage • linkage disequilibrium • Fisher's fundamental theorem • neutral theory • Price equation
Selection	natural • sexual • artificial • ecological
Effects of selection on genomic variation	genetic hitchhiking • background selection
Genetic drift	small population size • population bottleneck • founder effect • coalescence
Founders	R.A. Fisher • J. B. S. Haldane • Sewall Wright
Related topics	evolution • microevolution • evolutionary game theory • fitness landscape • genetic genealogy
List of evolutionary biology topics

view	Topics in game theory
Definitions	Normal form game · Extensive form game · Cooperative game · Information set · Preference
Equilibrium concepts	Nash equilibrium · Subgame perfection · Bayesian-Nash · Perfect Bayesian · Trembling hand · Proper equilibrium · Epsilon-equilibrium · Correlated equilibrium · Sequential equilibrium · Quasi-perfect equilibrium · Evolutionarily stable strategy · Risk dominance
Strategies	Dominant strategies · Pure strategy · Mixed strategy · Tit for tat · Grim trigger · Collusion
Classes of games	Symmetric game · Perfect information · Dynamic game · Repeated game · Signaling game · Cheap talk · Zero-sum game · Mechanism design · Stochastic game · Nontransitive game
Games	Prisoner's dilemma · Traveler's dilemma · Coordination game · Chicken · Volunteer's dilemma · Dollar auction · Battle of the sexes · Stag hunt · Matching pennies · Ultimatum game · Minority game · Rock, Paper, Scissors · Pirate game · Dictator game · Public goods game · Nash bargaining game · Blotto games  · War of attrition
Theorems	Minimax theorem · Purification theorems · Folk theorem · Revelation principle · Arrow's theorem

de:Evolutionäre Spieltheorie

es:Teoría evolutiva de juegos it:Teoria dei giochi (evoluzione) ja:進化ゲーム zh:进化博弈理论