| Title: | Evolutionary dynamics of any multiplayer game on regular graphs |
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| Authors: | ID Wang, Chaoqian (Author)
ID Perc, Matjaž (Author)
ID Szolnoki, Attila (Author) |
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| Files: |  RAZ_Wang_Chaoqian_2024.pdf (5,41 MB)
MD5: F2CA99CA29E2DFEC65DB4004CFADEC5D
 https://doi.org/10.1038/s41467-024-49505-5
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | Multiplayer games on graphs are at the heart of theoretical descriptions of key evolutionary processes that govern vital social and natural systems. However, a comprehensive theoretical framework for solving multiplayer games with an arbitrary number of strategies on graphs is still missing. Here, we solve this by drawing an analogy with the Balls-and-Boxes problem, based on which we show that the local configuration of multiplayer games on graphs is equivalent to distributing k identical co-players among n distinct strategies. We use this to derive the replicator equation for any n-strategy multiplayer game under weak selection, which can be solved in polynomial time. As an example, we revisit the second-order free-riding problem, where costly punishment cannot truly resolve social dilemmas in a well-mixed population. Yet, in structured populations, we derive an accurate threshold for the punishment strength, beyond which punishment can either lead to the extinction of defection or transform
the system into a rock-paper-scissors-like cycle. The analytical solution also qualitatively agrees with the phase diagrams that were previously obtained for non-marginal selection strengths. Our framework thus allows an exploration of any multi-strategy multiplayer game on regular graphs. |
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| Keywords: | evolutionary game theory, cooperation, network, social physics |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 23.12.2023 |
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| Article acceptance date: | 05.06.2024 |
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| Publication date: | 24.06.2024 |
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| Year of publishing: | 2024 |
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| Number of pages: | 15 str. |
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| Numbering: | Letn. 15, članek št. 5349 |
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| PID: | 20.500.12556/DKUM-89365  |
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| UDC: | 53 |
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| ISSN on article: | 2041-1723 |
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| COBISS.SI-ID: | 200710403 |
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| DOI: | 10.1038/s41467-024-49505-5 |
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| Publication date in DKUM: | 26.02.2025 |
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| Views: | 0 |
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| Downloads: | 3 |
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| Metadata: |    |
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| Categories: | Misc.
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