This Element introduces the replicator dynamics for symmetric and asymmetric games where the strategy sets are metric spaces. The authors provide conditions to approximate the replicator dynamics on a space of measures by means of a finite-dimensional dynamical system and a sequence of measure-valued Markov processes.
This Element introduces the replicator dynamics for symmetric and asymmetric games where the strategy sets are metric spaces. The authors provide conditions to approximate the replicator dynamics on a space of measures by means of a finite-dimensional dynamical system and a sequence of measure-valued Markov processes.
1. Introduction and technical preliminaries 2. Normal form games 3. Evolutionary games: the asymmetric case 4. Evolutionary games: symmetric case 5. Finite dimensional approximations 6. The replicator dynamics as a deterministic approximation 7. Conclusions and suggestions for future research Symbols Abbreviations Appendix Bibliography.
1. Introduction and technical preliminaries 2. Normal form games 3. Evolutionary games: the asymmetric case 4. Evolutionary games: symmetric case 5. Finite dimensional approximations 6. The replicator dynamics as a deterministic approximation 7. Conclusions and suggestions for future research Symbols Abbreviations Appendix Bibliography.
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