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Unobserved Heterogeneity in Matching Games with an Application to Venture Capital

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  • Jeremy T. Fox
  • David H. Hsu
  • Chenyu Yang

Abstract

Agents in two-sided matching games vary in characteristics that are unobservable in typical data on matching markets. We investigate the identification of the distribution of unobserved characteristics using data on who matches with whom. In full generality, we consider many-to-many matching and matching with trades. The distribution of match-specific unobservables cannot be fully recovered without information on unmatched agents, but the distribution of a combination of unobservables, which we call unobserved complementarities, can be identified. Using data on unmatched agents restores identification. We estimate the contribution of observables and unobservable complementarities to match production in venture capital investments in biotechnology and medical firms.

Suggested Citation

  • Jeremy T. Fox & David H. Hsu & Chenyu Yang, 2012. "Unobserved Heterogeneity in Matching Games with an Application to Venture Capital," NBER Working Papers 18168, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:18168
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    Cited by:

    1. Yihui Pan, 2017. "The Determinants and Impact of Executive-Firm Matches," Management Science, INFORMS, vol. 63(1), pages 185-200, January.
    2. Yingying Dong & Arthur Lewbel, 2015. "A Simple Estimator for Binary Choice Models with Endogenous Regressors," Econometric Reviews, Taylor & Francis Journals, vol. 34(1-2), pages 82-105, February.
    3. Arthur Lewbel, 2012. "An Overview of the Special Regressor Method," Boston College Working Papers in Economics 810, Boston College Department of Economics.
    4. Tat Chan & Yijun Chen & Chunhua Wu, 2023. "Collaborate to Compete: An Empirical Matching Game Under Incomplete Information in Rank-Order Tournaments," Marketing Science, INFORMS, vol. 42(5), pages 1004-1026, September.
    5. Ashish Arora & Michelle Gittelman & Sarah Kaplan & John Lynch & Will Mitchell & Nicolaj Siggelkow & Denisa Mindruta & Mahka Moeen & Rajshree Agarwal, 2016. "A two-sided matching approach for partner selection and assessing complementarities in partners' attributes in inter-firm alliances," Strategic Management Journal, Wiley Blackwell, vol. 37(1), pages 206-231, January.
    6. Yoshiki Ando, 2024. "Dynamics of High-Growth Young Firms and the Role of Venture Capitalists," PIER Working Paper Archive 24-012, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    7. Chunhua Wu, 2015. "Matching Value and Market Design in Online Advertising Networks: An Empirical Analysis," Marketing Science, INFORMS, vol. 34(6), pages 906-921, November.
    8. Plagmann, Carolin & Lutz, Eva, 2019. "Beggars or choosers? Lead venture capitalists and the impact of reputation on syndicate partner selection in international settings," Journal of Banking & Finance, Elsevier, vol. 100(C), pages 359-378.

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    More about this item

    JEL classification:

    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • J12 - Labor and Demographic Economics - - Demographic Economics - - - Marriage; Marital Dissolution; Family Structure
    • L0 - Industrial Organization - - General

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