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- W2117890997 abstract "Evolutionary stability is a fundamental concept in evolutionary game theory. A strategy is called an evolutionarily stable strategy (ESS), if its monomorphic population rejects the invasion of any other mutant strategy. Recent studies have revealed that population structure can considerably affect evolutionary dynamics. Here we derive the conditions of evolutionary stability for games on graphs. We obtain analytical conditions for regular graphs of degree k>2. Those theoretical predictions are compared with computer simulations for random regular graphs and for lattices. We study three different update rules: birth–death (BD), death–birth (DB), and imitation (IM) updating. Evolutionary stability on sparse graphs does not imply evolutionary stability in a well-mixed population, nor vice versa. We provide a geometrical interpretation of the ESS condition on graphs." @default.
- W2117890997 created "2016-06-24" @default.
- W2117890997 creator A5006822609 @default.
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- W2117890997 date "2008-04-01" @default.
- W2117890997 modified "2023-10-18" @default.
- W2117890997 title "Evolutionary stability on graphs" @default.
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- W2117890997 doi "https://doi.org/10.1016/j.jtbi.2008.01.005" @default.
- W2117890997 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/2430060" @default.
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- W2117890997 hasPublicationYear "2008" @default.
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