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Econometrica Vol. 83 No. 3 2015

Investment and Competitive Matching

Georg Nöldeke1; Larry Samuelson2

1 Faculty of Business and Economics; University of Basel; 4002 Basel Switzerland · 2 Dept. of Economics; Yale University; New Haven CT 06520 U.S.A.

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Abstract

We study markets in which agents first make investments and are then matched into potentially productive partnerships. Equilibrium investments and the equilibrium matching will be efficient if agents can simultaneously negotiate investments and matches, but we focus on markets in which agents must first sink their investments before matching. Additional equilibria may arise in this sunk-investment setting, even though our matching market is competitive. These equilibria exhibit inefficiencies that we can interpret as coordination failures. All allocations satisfying a constrained efficiency property are equilibria, and the converse holds if preferences satisfy a separability condition. We identify sufficient conditions (most notably, quasiconcave utilities) for the investments of matched agents to satisfy an exchange efficiency property as well as sufficient conditions (most notably, a single crossing property) for agents to be matched positive assortatively, with these conditions then forming the core of sufficient conditions for the efficiency of equilibrium allocations.

DOI
10.3982/ecta12349
Volume
83
Issue
3
Pages
835-896
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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