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Título: | Coordination and equilibrium selection in games: the role of local effects |
Autor: | Raducha, Tomasz CSIC ORCID; San Miguel, Maxi CSIC ORCID | Fecha de publicación: | 1-mar-2022 | Editor: | Springer Nature | Citación: | Scientific Reports 12: 3373 (2022) | Resumen: | We study the role of local effects and finite size effects in reaching coordination and in equilibrium selection in two-player coordination games. We investigate three update rules — the replicator dynamics (RD), the best response (BR), and the unconditional imitation (UI). For the pure coordination game with two equivalent strategies we find a transition from a disordered state to coordination for a critical value of connectivity. The transition is system-size-independent for the BR and RD update rules. For the IU it is system-size-dependent, but coordination can always be reached below the connectivity of a complete graph. We also consider the general coordination game which covers a range of games, such as the stag hunt. For these games there is a payoff-dominant strategy and a risk-dominant strategy with associated states of equilibrium coordination. We analyse equilibrium selection analytically and numerically. For the RD and BR update rules mean-field predictions agree with simulations and the risk-dominant strategy is evolutionary favoured independently of local effects. When players use the unconditional imitation, however, we observe coordination in the payoff-dominant strategy. Surprisingly, the selection of pay-off dominant equilibrium only occurs below a critical value of the network connectivity and disappears in complete graphs. As we show, it is a combination of local effects and update rule that allows for coordination on the payoff-dominant strategy. | Versión del editor: | https://doi.org/10.1038/s41598-022-07195-3 | URI: | http://hdl.handle.net/10261/270656 | DOI: | 10.1038/s41598-022-07195-3 | E-ISSN: | 2045-2322 | Referencias: | Raducha, Tomasz; San Miguel, Maxi; 2021; Coordination and equilibrium selection in games: the role of local effects [preprint]; arXiv; https://doi.org/10.48550/arXiv.2110.10036 |
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selection_games.pdf | 17,45 MB | Adobe PDF | Visualizar/Abrir |
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