Theoretical Economics, Volume 17, Number 2 (May 2022)

Theoretical Economics 17 (2022), 801–839


The structure of equilibria in trading networks with frictions

Jan Christoph Schlegel

Abstract


Several structural results for the set of competitive equilibria in trading networks with frictions are established: The lattice theorem, the rural hospitals theorem, the existence of side-optimal equilibria, and a group-incentive-compatibility result hold with imperfectly transferable utility and in the presence of frictions. While our results are developed in a trading network model, they also imply analogous (and new) results for exchange economies with combinatorial demand and for two-sided matching markets with transfers.

Keywords: Trading Networks, Full Substitutability, Imperfectly Transferable Utility, Competitive Equilibrium, Indivisible Goods, Frictions, Lattice, Rural Hospitals

JEL classification: C78, D47, D52, L14

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