Mean-field interactions in evolutionary spatial games
| Autor: | Antonov, Dmitriy, Burovski, Evgeni, Shchur, Lev |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys. Rev. Research 3, 032072 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevResearch.3.L032072 |
| Popis: | We introduce a mean-field term to an evolutionary spatial game model. Namely, we consider the game of Nowak and May, based on the Prisoner's dilemma, and augment the game rules by a self-consistent mean-field term. This way, an agent operates based on local information from its neighbors and nonlocal information via the mean-field coupling. We simulate the model and construct the steady-state phase diagram, which shows significant new features due to the mean-field term: while for the game of Nowak and May, steady states are characterized by a constant mean density of cooperators, the mean-field game contains steady states with a continuous dependence of the density on the payoff parameter. Moreover, the mean-field term changes the nature of transitions from discontinuous jumps in the steady-state density to jumps in the first derivative. The main effects are observed for stationary steady states, which are parametrically close to chaotic states: the mean-field coupling drives such stationary states into spatial chaos. Our approach can be readily generalized to a broad class of spatial evolutionary games with deterministic and stochastic decision rules. Comment: 6 pages, 3 figures. Published version |
| Databáze: | arXiv |
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