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• W2054731833 abstract "The explanatory significance of equilibrium depends on the underlying dynamics. A number of questions of stability and robustness are relevant. Here I investigate these questions with respect to some simple evolutionary models from my book, Evolution of the Social Contract . These models use the replicat or dynamics. In each of these models I identify the equilibria and characterize their local dynamic stability properties. In two of the models, I show that one equilibrium is globally asymptotically stable. I then show that the foregoing results are robust over a large class of adaptive dynamics that might be considered as alternatives to the replicator dynamics. I investigate the structural stability properties of the three models. The question of the structural stability of a model of bargaining with correlated encounters raised by D'Arms, Batterman, and Górny (1998) is answered in the affirmative. The other two models are not structurally stable. Modification of a structurally unstable signaling system to allow for correlated encounters results in a structurally stable model." @default.
• W2054731833 created "2016-06-24" @default.
• W2054731833 creator A5045850608 @default.
• W2054731833 date "2000-03-01" @default.
• W2054731833 modified "2023-10-15" @default.
• W2054731833 title "Stability and Explanatory Significance of Some Simple Evolutionary Models" @default.
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• W2054731833 doi "https://doi.org/10.1086/392763" @default.
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