Evolutionary Dynamics of Biological Games

Authors:   Nowak MA, Sigmund K

Publication Year:   2004

Reference:  IIASA Interim Report IR-04-013

Abstract

Darwinian dynamics based on mutation and selection from the core of mathematical models for adaptation and coevolution of biological populations. The evolutionary outcome is often not a fitness-maximizing equilibrium but can include oscillations and chaos. For studying frequency-dependent selection, game-theoretic arguments are more appropriate than optimization algorithms. Replicator and adaptive dynamics describe short-and long-term evolution in phenotype space and have found applications ranging from animal behavior and ecology to speciation, macroevolution, and human language. Evolutionary game theory is an essential component of a mathematical and computational approach to biology.

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