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结构化种群中勒索行为的演变。

Evolution of extortion in structured populations.

作者信息

Szolnoki Attila, Perc Matjaž

机构信息

Institute of Technical Physics and Materials Science, Research Centre for Natural Sciences, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary.

Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, SI-2000 Maribor, Slovenia.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Feb;89(2):022804. doi: 10.1103/PhysRevE.89.022804. Epub 2014 Feb 14.

Abstract

Extortion strategies can dominate any opponent in an iterated prisoner's dilemma game. But if players are able to adopt the strategies performing better, extortion becomes widespread and evolutionary unstable. It may sometimes act as a catalyst for the evolution of cooperation, and it can also emerge in interactions between two populations, yet it is not the evolutionarily stable outcome. Here we revisit these results in the realm of spatial games. We find that pairwise imitation and birth-death dynamics return known evolutionary outcomes. Myopic best response strategy updating, on the other hand, reveals counterintuitive solutions. Defectors and extortioners coarsen spontaneously, which allows cooperators to prevail even at prohibitively high temptations to defect. Here extortion strategies play the role of a Trojan horse. They may emerge among defectors by chance, and once they do, cooperators become viable as well. These results are independent of the interaction topology, and they highlight the importance of coarsening, checkerboard ordering, and best response updating in evolutionary games.

摘要

在重复囚徒困境博弈中,敲诈策略可以战胜任何对手。但如果参与者能够采用表现更优的策略,敲诈行为就会广泛传播且在进化上不稳定。它有时可能会成为合作进化的催化剂,也可能出现在两个群体之间的互动中,但它并非进化稳定的结果。在此,我们在空间博弈领域重新审视这些结果。我们发现,两两模仿和生死动态会产生已知的进化结果。另一方面,近视最优反应策略更新则揭示出违反直觉的解决方案。背叛者和敲诈者会自发地粗化,这使得合作者即使在面临极高的背叛诱惑时也能占上风。在这里,敲诈策略起到了特洛伊木马的作用。它们可能偶然出现在背叛者之中,一旦出现,合作者也能生存下来。这些结果与互动拓扑结构无关,并且它们凸显了粗化、棋盘排序和最优反应更新在进化博弈中的重要性。

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