Publicação
Periodic attractor in the discrete time best-response dynamics of the rock-paper-scissors game
| Resumo: | The Rock-Paper-Scissors (RPS) game is a classic noncooperative game widely studied in terms of its theoretical analysis as well as in its applications, ranging from sociology and biology to economics. Many experimental results of the RPS game indicate that this game is better modelled by the discretized best-response dynamics rather than continuous time dynamics. In this work we show that the attractor of the discrete time best-response dynamics of the RPS game is nite and periodic. Moreover we also describe the bifurcations of the attractor and determine the exact number, period and location of the periodic strategies. |
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| Autores principais: | Gaivão, José Pedro |
| Outros Autores: | Peixe, Telmo |
| Assunto: | Best response dynamics bifurcations discretization ctitious play periodic orbits rock-paper-scissors game |
| Ano: | 2019 |
| País: | Portugal |
| Tipo de documento: | working paper |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório da Universidade de Lisboa |
| Resumo: | The Rock-Paper-Scissors (RPS) game is a classic noncooperative game widely studied in terms of its theoretical analysis as well as in its applications, ranging from sociology and biology to economics. Many experimental results of the RPS game indicate that this game is better modelled by the discretized best-response dynamics rather than continuous time dynamics. In this work we show that the attractor of the discrete time best-response dynamics of the RPS game is nite and periodic. Moreover we also describe the bifurcations of the attractor and determine the exact number, period and location of the periodic strategies. |
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