Abstract
We study efficiency and maximality in anonymous two-sided economies, where each agent only cares about trading with a desired number of partners from the opposite side. For both homogeneous and heterogeneous economies, we provide a necessary and sufficient condition that ensures the efficiency of all pairwise stable matchings. In addition, we provide a sufficient condition for maximality in heterogeneous economies. These conditions have implications for the design of anonymous markets that function optimally without the continuous intervention of a social planner.
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