Cycling Co-Evolution Resulting from Genetic Adaptation in Two-Person Zero-Sum Games

Authors:
David Salamon;Peter Salamon
Affiliations:
Department of Mathematical and Computer Sciences, San Diego State University, San Diego 92182-7720;Department of Mathematical and Computer Sciences, San Diego State University, San Diego 92182-7720
Venue:
Open Systems & Information Dynamics
Year:
2005

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Abstract

We consider two populations co-evolving with fitness defined by the payoff in a two-person zero-sum game. We show that such situations lead to spontaneous and sustained oscillations iff the optimal strategy of the game is mixed.