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Repeated Matching Games An Empirical Framework

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  • Pauline Corblet
  • Jeremy T. 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 T. Fox & Alfred Galichon, 2025. "Repeated Matching Games An Empirical Framework," NBER Working Papers 34352, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:34352
    Note: IO LS TWP
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    More about this item

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • J20 - Labor and Demographic Economics - - Demand and Supply of Labor - - - General
    • L10 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - General

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