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• W2078552507 abstract "Game theory formalizes certain interactions between physical particles or between living beings in biology, sociology, and economics, and quantifies the outcomes by payoffs. The prisoner's dilemma (PD) describes situations in which it is profitable if everybody cooperates rather than defects (free-rides or cheats), but as cooperation is risky and defection is tempting, the expected outcome is defection. Nevertheless, some biological and social mechanisms can support cooperation by effectively transforming the payoffs. Here, we study the related phase transitions, which can be of first order (discontinous) or of second order (continuous), implying a variety of different routes to cooperation. After classifying the transitions into cases of equilibrium displacement, equilibrium selection, and equilibrium creation, we show that a transition to cooperation may take place even if the stationary states and the eigenvalues of the replicator equation for the PD stay unchanged. Our example is based on adaptive group pressure, which makes the payoffs dependent on the endogeneous dynamics in the population. The resulting bistability can invert the expected outcome in favor of cooperation." @default.
• W2078552507 created "2016-06-24" @default.
• W2078552507 creator A5061160911 @default.
• W2078552507 creator A5089505843 @default.
• W2078552507 date "2010-05-10" @default.
• W2078552507 modified "2023-10-03" @default.
• W2078552507 title "Phase transitions to cooperation in the prisoner’s dilemma" @default.
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• W2078552507 doi "https://doi.org/10.1103/physreve.81.057102" @default.
• W2078552507 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/20866357" @default.
• W2078552507 hasPublicationYear "2010" @default.
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