q-deformed evolutionary dynamics in simple matrix games
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915098012942336 |
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| author | Kitching, Christopher R. Galla, Tobias |
| author_facet | Kitching, Christopher R. Galla, Tobias |
| contents | We consider evolutionary games in which the agent selected for update compares their payoff to q neighbours, rather than a single neighbour as in standard evolutionary game theory. Through studying fixed point stability and fixation times for 2x2 games with all-to-all interactions, we find that the flow changes significantly as a function of q. Further, we investigate the effects of changing the underlying topology from an all-to-all interacting system to an uncorrelated graph via the pair approximation. We also develop the framework for studying games with more than two strategies, such as the rock-paper-scissors game where we show that changing q leads to the emergence of new types of flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16380 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | q-deformed evolutionary dynamics in simple matrix games Kitching, Christopher R. Galla, Tobias Physics and Society Statistical Mechanics Populations and Evolution We consider evolutionary games in which the agent selected for update compares their payoff to q neighbours, rather than a single neighbour as in standard evolutionary game theory. Through studying fixed point stability and fixation times for 2x2 games with all-to-all interactions, we find that the flow changes significantly as a function of q. Further, we investigate the effects of changing the underlying topology from an all-to-all interacting system to an uncorrelated graph via the pair approximation. We also develop the framework for studying games with more than two strategies, such as the rock-paper-scissors game where we show that changing q leads to the emergence of new types of flow. |
| title | q-deformed evolutionary dynamics in simple matrix games |
| topic | Physics and Society Statistical Mechanics Populations and Evolution |
| url | https://arxiv.org/abs/2407.16380 |