The evolution of fairness under an assortative matching rule in the ultimatum game

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This paper studies howamatching rule affects the evolution of fairness in the ultimatumgame.Gale et al. [1995] show that under the randommatching rule, a partially fair imperfect Nash equilibriumin which all proposers are fair but some responders are selfish is asymptotically stable inthe limit as noise in learning vanishes if responders are noisier than proposers.This paper showsthat, under an assortative matching rule, a mutually fair imperfect Nash equilibrium in which allproposers are fair and all responders are reciprocal is limit asymptotically stable as noise due tocommitted agents vanishes.