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Direct reciprocity on graphs
https://ir.soken.ac.jp/records/3660
https://ir.soken.ac.jp/records/36604832ae11-1deb-466d-bac1-96d0b424a59f
Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2013-06-27 | |||||
タイトル | ||||||
タイトル | Direct reciprocity on graphs | |||||
タイトル | ||||||
タイトル | Direct reciprocity on graphs | |||||
言語 | en | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
アクセス権 | ||||||
アクセス権 | metadata only access | |||||
アクセス権URI | http://purl.org/coar/access_right/c_14cb | |||||
著者 |
OHTSUKI, Hisashi
× OHTSUKI, Hisashi× NOWAK, Martin A |
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著者別名 |
大槻, 久
× 大槻, 久 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Direct reciprocity is a mechanism for the evolution of cooperation based on the idea of repeated encounters between the same two individuals. Here we examine direct reciprocity in structured populations, where individuals occupy the vertices of a graph. The edges denote who interacts with whom. The graph represents spatial structure or a social network. For birth–death or pairwise comparison updating, we find that evolutionary stability of direct reciprocity is more restrictive on a graph than in a well-mixed population, but the condition for reciprocators to be advantageous is less restrictive on a graph. For death–birth and imitation updating, in contrast, both conditions are easier to fulfill on a graph. Moreover, for all four update mechanisms, reciprocators can dominate defectors on a graph, which is never possible in a well-mixed population. We also study the effect of an error rate, which increases with the number of links per individual; interacting with more people simultaneously enhances the probability of making mistakes. We provide analytic derivations for all results. | |||||
書誌情報 |
Journal of Theoretical Biology en : Journal of Theoretical Biology 巻 247, 号 3, p. 462-470, 発行日 2007-08-07 |
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出版者 | ||||||
出版者 | Elsevier | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00225193 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | http://doi.org/10.1016/j.jtbi.2007.03.018 | |||||
関連名称 | 10.1016/j.jtbi.2007.03.018 | |||||
権利 | ||||||
権利情報 | © 2007 Elsevier Ltd. |