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Repeated Matching Games: An Empirical Framework

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  • Pauline Corblet
  • Jeremy Fox
  • Alfred Galichon

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.

Suggested Citation

  • Pauline Corblet & Jeremy Fox & Alfred Galichon, 2025. "Repeated Matching Games: An Empirical Framework," Papers 2510.02737, arXiv.org.
    • Handle: RePEc:arx:papers:2510.02737
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    File URL: http://arxiv.org/pdf/2510.02737
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