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arXiv · 2510.02737

Repeated Matching Games: An Empirical Framework

Pauline Corblet·Jeremy Fox·Alfred Galichon
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Abstract

We introduce a model of dynamic matching with transferable utility, extending the static model of Shapley and Shubik (1971). Forward-looking agents have individual states that evolve with current matches. Each period, a matching market with market-clearing prices takes place. We prove the existence of an equilibrium with time-varying distributions of agent types and show it is the solution to a social planner's problem. We also prove that a stationary equilibrium exists. We introduce econometric shocks to account for unobserved heterogeneity in match formation. We propose two algorithms to compute a stationary equilibrium. We adapt both algorithms for estimation. We estimate a model of accumulation of job-specific human capital using data on Swedish engineers.

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Pauline Corblet, Jeremy Fox, Alfred Galichon. 2025-10-03. Repeated Matching Games: An Empirical Framework. https://arxiv.org/abs/2510.02737

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