Neutrality between Tit for tat and unconditional cooperation
ID: neutrality-between-tit-for-tat-and-unconditional-cooperation
Under cooperative initial memories, matches involving only Tit for tat and always cooperate contain only cooperation, so all four payoffs equal . The two-condition criterion for evolutionary stability has both differences zero. Thus Tit for tat is not an evolutionarily stable strategy against a strategy space containing unconditional cooperation, even if it is a Nash equilibrium. This counterexample is valid for finite horizons and discounting as well as infinite averages.
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