Inter-role reciprocity in evolutionary trust game on square lattices
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866916889911885824 |
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| author | Wang, Chaoqian Zhang, Wei Wang, Xinwei Szolnoki, Attila |
| author_facet | Wang, Chaoqian Zhang, Wei Wang, Xinwei Szolnoki, Attila |
| contents | Simulating bipartite games, such as the trust game, is not straightforward due to the lack of a natural way to distinguish roles in a single population. The square lattice topology can provide a simple yet elegant solution by alternating trustors and trustees. For even lattice sizes, it creates two disjoint diagonal sub-lattices for strategy learning, while game interactions can take place on the original lattice. This setup ensures a minimal spatial structure that allows interactions across roles and learning within roles. By simulations on this setup, we detect an inter-role spatial reciprocity mechanism, through which trust can emerge. In particular, a moderate return ratio allows investing trustors and trustworthy trustees to form inter-role clusters and thus save trust. If the return is too high, it harms the survival of trustees; if too low, it harms trustors. The proposed simulation framework is also applicable to any bipartite game to uncover potential inter-role spatial mechanisms across various scenarios. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06685 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inter-role reciprocity in evolutionary trust game on square lattices Wang, Chaoqian Zhang, Wei Wang, Xinwei Szolnoki, Attila Physics and Society Computer Science and Game Theory Cellular Automata and Lattice Gases Simulating bipartite games, such as the trust game, is not straightforward due to the lack of a natural way to distinguish roles in a single population. The square lattice topology can provide a simple yet elegant solution by alternating trustors and trustees. For even lattice sizes, it creates two disjoint diagonal sub-lattices for strategy learning, while game interactions can take place on the original lattice. This setup ensures a minimal spatial structure that allows interactions across roles and learning within roles. By simulations on this setup, we detect an inter-role spatial reciprocity mechanism, through which trust can emerge. In particular, a moderate return ratio allows investing trustors and trustworthy trustees to form inter-role clusters and thus save trust. If the return is too high, it harms the survival of trustees; if too low, it harms trustors. The proposed simulation framework is also applicable to any bipartite game to uncover potential inter-role spatial mechanisms across various scenarios. |
| title | Inter-role reciprocity in evolutionary trust game on square lattices |
| topic | Physics and Society Computer Science and Game Theory Cellular Automata and Lattice Gases |
| url | https://arxiv.org/abs/2508.06685 |