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Repeated matching games an empirical framework

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  • Jeremy Fox
  • Alfred Galichon
  • Pauline Corblet

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

  • Jeremy Fox & Alfred Galichon & Pauline Corblet, 2025. "Repeated matching games an empirical framework," CeMMAP working papers 18/25, Institute for Fiscal Studies.
    • Handle: RePEc:azt:cemmap:18/25
    DOI: 10.47004/wp.cem.2025.1825
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