| Item type |
学術雑誌論文 / Journal Article(1) |
| 公開日 |
2013-06-27 |
| タイトル |
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タイトル |
Evolutionary graph theory: Breaking the symmetry between interaction and replacement |
| タイトル |
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タイトル |
Evolutionary graph theory: Breaking the symmetry between interaction and replacement |
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言語 |
en |
| 言語 |
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言語 |
eng |
| 資源タイプ |
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資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
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資源タイプ |
journal article |
| 著者 |
OHTSUKI, Hisashi
PACHECO, Jorge M
NOWAK, Martin A
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| 著者別名 |
大槻, 久
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| 抄録 |
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内容記述タイプ |
Abstract |
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内容記述 |
We study evolutionary dynamics in a population whose structure is given by two graphs: the interaction graph determines who plays with whom in an evolutionary game; the replacement graph specifies the geometry of evolutionary competition and updating. First, we calculate the fixation probabilities of frequency dependent selection between two strategies or phenotypes. We consider three different update mechanisms: birth-death, death-birth and imitation. Then, as a particular example, we explore the evolution of cooperation. Suppose the interaction graph is a regular graph of degree h, the replacement graph is a regular graph of degree g and the overlap between the two graphs is a regular graph of degree l. We show that cooperation is favored by natural selection if b/c > hg/l. Here, b and c denote the benefit and cost of the altruistic act. This result holds for death-birth updating, weak selection and large population size. Note that the optimum population structure for cooperators is given by maximum overlap between the interaction and the replacement graph (g = h = l), which means that the two graphs are identical. We also prove that a modified replicator equation can describe how the expected values of the frequencies of an arbitrary number of strategies change on replacement and interaction graphs: the two graphs induce a transformation of the payoff matrix. |
| 書誌情報 |
Journal of Theoretical Biology
en : Journal of Theoretical Biology
巻 246,
号 4,
p. 681-694,
発行日 2007-06-21
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| 出版者 |
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出版者 |
Elsevier |
| ISSN |
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収録物識別子タイプ |
ISSN |
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収録物識別子 |
00225193 |
| PubMed番号 |
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関連タイプ |
isVersionOf |
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識別子タイプ |
PMID |
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関連識別子 |
2396517 |
| DOI |
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関連タイプ |
isVersionOf |
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識別子タイプ |
DOI |
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関連識別子 |
http://doi.org/10.1016/j.jtbi.2007.01.024 |
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関連名称 |
10.1016/j.jtbi.2007.01.024 |
| 権利 |
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権利情報 |
© 2007 Elsevier Ltd. |
| 関連サイト |
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識別子タイプ |
URI |
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関連識別子 |
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2396517/ |
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関連名称 |
NIH Public Access |
| 関連サイト |
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識別子タイプ |
URI |
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関連識別子 |
http://www.ncbi.nlm.nih.gov/About/disclaimer.html |
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関連名称 |
Copyriht |
| フォーマット |
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内容記述タイプ |
Other |
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内容記述 |
application/pdf |
| 著者版フラグ |
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出版タイプ |
AM |
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出版タイプResource |
http://purl.org/coar/version/c_ab4af688f83e57aa |
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