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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2404.11748 |
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| _version_ | 1866909319577993216 |
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| author | Karev, Georgiy |
| author_facet | Karev, Georgiy |
| contents | I consider a family of games with corresponding payoff matrices, parametrized by the parameter The informal question of interest is: what game is the best? Instead of attempting to suggest a more or less arbitrary definition of the best game, I allow natural selection to find it through honest competition between games. Specifically, I consider a model of a community composed of populations with different payoff matrices and study the natural selection between the populations. The outcome of the community evolution determines the best game. I develop here a mathematical toolbox, that allows the study of evolution of parametrized games. The developed approach is applied to three examples of parametrized games from the literature: local replicator dynamics, pairwise competition and the game of alleles in diploid genomes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11748 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | How to study the evolution of parametrized games? Karev, Georgiy Populations and Evolution 91A22 I consider a family of games with corresponding payoff matrices, parametrized by the parameter The informal question of interest is: what game is the best? Instead of attempting to suggest a more or less arbitrary definition of the best game, I allow natural selection to find it through honest competition between games. Specifically, I consider a model of a community composed of populations with different payoff matrices and study the natural selection between the populations. The outcome of the community evolution determines the best game. I develop here a mathematical toolbox, that allows the study of evolution of parametrized games. The developed approach is applied to three examples of parametrized games from the literature: local replicator dynamics, pairwise competition and the game of alleles in diploid genomes. |
| title | How to study the evolution of parametrized games? |
| topic | Populations and Evolution 91A22 |
| url | https://arxiv.org/abs/2404.11748 |