The Evolutionary Robustness of Forgiveness and Cooperation
We study the evolutionary robustness of strategies in innitely repeated prisoners' dilemma games in which players make mistakes with a small probability and are patient. The evolutionary process we consider is given by the replicator dynamics. We show that there are strategies with a uniformly large basin of attraction independent of the size of the population. Moreover, we show that those strategies forgive defections and, assuming that they are symmetric, they cooperate. We provide partial eciency results for asymmetric strategies.
|Date of creation:||2013|
|Date of revision:|
|Contact details of provider:|| Postal: Department of Economics, Brown University, Providence, RI 02912|
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