The Evolution of Fairness under an Assortative Matching Rule in the Ultimatum Game
This paper studies how a matching rule affects the evolution of fairness in an ultimatum mini game. Gale et al.  show that only selfish behaviour survives in the deterministic replicator dynamics under the random matching rule. In contrast, this paper shows that, under an assortative matching rule, the fair behaviour may survive at an asymptotically stable state.
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