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Evolutionary game dynamics with two 2-strategy games in a finite populationhas been investigated in this study. Traditionally, frequency-dependentevolutionary dynamics are modeled by deterministic replicator dynamics underthe assumption that the population size is infinite. However, in reality,population sizes are finite. Recently, stochastic processes in finitepopulations have been introduced into evolutionary games in order to studyfinite size effects in evolutionary game dynamics. However, most of thesestudies focus on populations playing only single games. In this study, weinvestigate a finite population with two games and show that a finitepopulation playing two games tends to evolve toward a specific direction toform particular linkages between the strategies of the two games.

Multigame Effect in Finite Populations Induces Strategy Linkage Between Two Games