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Approximate master equations for the spatial public goods game
| Title: | Approximate master equations for the spatial public goods game |
| Authors: | Takiguchi, Yu Browse this author | | Nemoto, Koji Browse this author →KAKEN DB |
| Issue Date: | 12-Feb-2024 |
| Publisher: | American Physical Society (APS) |
| Journal Title: | Physical Review E |
| Volume: | 109 |
| Issue: | 2 |
| Start Page: | 024304 |
| Publisher DOI: | 10.1103/PhysRevE.109.024304 |
| Abstract: | The spatial public goods game has been used to examine factors that promote cooperation. Owing to the complexity of the dynamics of this game, previous studies on this model neglected analytical approaches and relied entirely on numerical calculations using the Monte Carlo (MC) simulations. In this paper, we present the approximate master equations (AMEs) for this model. We report that the results obtained by the AMEs are mostly qualitatively consistent with those obtained by the MC simulations. Furthermore, we show that it is possible to obtain phase boundaries analytically in certain parameter regions. In the region where the noise in strategy decisions is very large, the phase boundary can be obtained analytically by considering perturbations from the steady state of the voter model. In the noiseless region, discontinuous phase transitions occur because of the characteristics of the function that represents strategy updating. Our approach is useful for clarifying the details of the mechanisms that promote cooperation and can be easily applied to other group interaction models. |
| Rights: | Copyright 2024 by The American Physical Society. |
| Type: | article |
| URI: | http://hdl.handle.net/2115/92273 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 根本 幸児
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