Evolutionary Markovian strategies in spatial games

H. Fort; E. Sicardi

doi:10.1016/j.physa.2006.09.004

Evolutionary Markovian strategies in spatial games

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2006.09.004 ◽

2007 ◽

Vol 375 (1) ◽

pp. 323-335 ◽

Cited By ~ 5

Author(s):

H. Fort ◽

E. Sicardi

Keyword(s):

Spatial Games ◽

Markovian Strategies

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On the use of spatial games in explaining human cooperation

2016 IEEE Congress on Evolutionary Computation (CEC) ◽

10.1109/cec.2016.7743815 ◽

2016 ◽

Author(s):

Garrison W. Greenwood

Keyword(s):

Spatial Games

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Spatial Games Based on Pursuing the Highest Average Payoff

Chinese Physics Letters ◽

10.1088/0256-307x/25/9/110 ◽

2008 ◽

Vol 25 (9) ◽

pp. 3504-3506 ◽

Cited By ~ 8

Author(s):

Yang Han-Xin ◽

Wang Bing-Hong ◽

Wang Wen-Xu ◽

Rong Zhi-Hai

Keyword(s):

Average Payoff ◽

Spatial Games

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Effect of the presence of empty sites on the evolution of cooperation by costly punishment in spatial games

Journal of Theoretical Biology ◽

10.1016/j.jtbi.2008.09.025 ◽

2009 ◽

Vol 256 (2) ◽

pp. 297-304 ◽

Cited By ~ 21

Author(s):

Takuya Sekiguchi ◽

Mayuko Nakamaru

Keyword(s):

Evolution Of Cooperation ◽

Costly Punishment ◽

Spatial Games

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Ordering structured populations in multiplayer cooperation games

10.1101/021550 ◽

2015 ◽

Author(s):

Jorge Peña ◽

Bin Wu ◽

Arne Traulsen

Keyword(s):

Population Structure ◽

Spatial Structure ◽

Structured Populations ◽

Evolution Of Cooperation ◽

Multiplayer Games ◽

Spatial Games ◽

Population Structures ◽

Single Structure ◽

Containment Order ◽

Update Rules

AbstractSpatial structure greatly affects the evolution of cooperation. While in two-player games the condition for cooperation to evolve depends on a single structure coefficient, in multiplayer games the condition might depend on several structure coefficients, making it difficult to compare different population structures. We propose a solution to this issue by introducing two simple ways of ordering population structures: the containment order and the volume order. If population structure 𝒮1 is greater than population structure 𝒮2 in the containment or the volume order, then 𝒮1 can be considered a stronger promoter of cooperation. We provide conditions for establishing the containment order, give general results on the volume order, and illustrate our theory by comparing different models of spatial games and associated update rules. Our results hold for a large class of population structures and can be easily applied to specific cases once the structure coefficients have been calculated or estimated.

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