Scale-Invariant Behavior in a Spatial Game of Prisoners’ Dilemma

A spatially extended version of the game of prisoner’s dilemma, originally proposed by Nowak and May, is modified to include stochastic updating and found to exhibit scale-invariant behavior. Two critical regimes with different scaling behaviors are found; the corresponding exponents have been deter...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: LIM, Yun Fong, Chen, Kan, Jayaprakash, Ciriyam
التنسيق: text
اللغة:English
منشور في: Institutional Knowledge at Singapore Management University 2002
الموضوعات:
الوصول للمادة أونلاين:https://ink.library.smu.edu.sg/lkcsb_research/878
https://ink.library.smu.edu.sg/context/lkcsb_research/article/1877/viewcontent/yflim_PRE2002.pdf
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المؤسسة: Singapore Management University
اللغة: English
الوصف
الملخص:A spatially extended version of the game of prisoner’s dilemma, originally proposed by Nowak and May, is modified to include stochastic updating and found to exhibit scale-invariant behavior. Two critical regimes with different scaling behaviors are found; the corresponding exponents have been determined numerically. Spatially, the critical states are characterized by the existence of delicately balanced networks of defectors separating domains of cooperators; temporally, the evolution of the critical states following local perturbations is characterized by avalanches of various magnitudes, which cause restructuring of the networks of defectors on all scales.