• Open Access

Identification in matching games


  • Jeremy T. Fox

    1. Department of Economics, University of Michigan and NBER; jtfox@umich.edu
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    • Thanks to participants at seminars at many universities and conferences. I thank the National Science Foundation, the NET Institute, the Olin Foundation, and the Stigler Center for generous funding.


I study a many-to-many, two-sided, transferable utility matching game. Consider data on matches or relationships between agents but not on the choice set of each agent. I investigate what economic parameters can be learned from data on equilibrium matches and agent characteristics. Features of a production function, which gives the surplus from a match, are nonparametrically identified. In particular, the ratios of complementarities from multiple pairs of inputs are identified. Also, the production function is identified up to a positive monotonic transformation.