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Aggregate behavior in matching markets with flexible contracts and non-transferable representations of preferences

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Abstract

This paper modifies and extends the aggregate equilibrium models for matching markets developed earlier in the literature. Agents in the matching market search for a match among potential partners, including agreements about a flexible contract, such as hours and wage combinations in the labor market. Under general utility representations that are non-transferable and assuming the matching is stable, we derive a probabilistic framework for the probability of realizing a particular match, including the choice of contract. We also show that the popular transferable utility model with transferable utilities can be viewed as a limiting case within our modelling framework. The framework is practical to apply for empirical analysis and is at the same time sufficiently general to accommodate essential features of matching markets with heterogeneous agents.

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  • John K. Dagsvik & Zhiyang Jia, 2018. "Aggregate behavior in matching markets with flexible contracts and non-transferable representations of preferences," Discussion Papers 875, Statistics Norway, Research Department.
    • Handle: RePEc:ssb:dispap:875
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    1. Alfred Galichon & Bernard Salanié, 2022. "Cupid’s Invisible Hand: Social Surplus and Identification in Matching Models [An Empirical Model of the Medical Match]," Review of Economic Studies, Oxford University Press, vol. 89(5), pages 2600-2629.
    2. Diamond, P. A. & Maskin, Eric, 1981. "An equilibrium analysis of search and breach of contract II. A non-steady state example," Journal of Economic Theory, Elsevier, vol. 25(2), pages 165-195, October.
    3. Jovanovic, Boyan, 1984. "Matching, Turnover, and Unemployment," Journal of Political Economy, University of Chicago Press, vol. 92(1), pages 108-122, February.
    4. Eugene Choo & Aloysius Siow, 2006. "Who Marries Whom and Why," Journal of Political Economy, University of Chicago Press, vol. 114(1), pages 175-201, February.
    5. Peter A. Diamond & Eric Maskin, 1979. "An Equilibrium Analysis of Search and Breach of Contract, I: Steady States," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 282-316, Spring.
    6. McFadden, Daniel L., 1984. "Econometric analysis of qualitative response models," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 24, pages 1395-1457, Elsevier.
    7. Dagsvik, John K, 2000. "Aggregation in Matching Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 27-57, February.
    8. Konrad Menzel, 2015. "Large Matching Markets as Two‐Sided Demand Systems," Econometrica, Econometric Society, vol. 83(3), pages 897-941, May.
    9. Jovanovic, Boyan, 1979. "Job Matching and the Theory of Turnover," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 972-990, October.
    10. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-450, March.
    11. Alfred Galichon & Bernard Salanié, 2010. "Matching with Trade-offs: Revealed Preferences over Competiting Characteristics," Working Papers hal-00473173, HAL.
    12. Ismael Mourifie & Aloysius Siow, 2015. "Cohabitation versus marriage: Marriage matching with peer effects," Working Papers tecipa-531, University of Toronto, Department of Economics.
    13. Mortensen, Dale T, 1982. "Property Rights and Efficiency in Mating, Racing, and Related Games," American Economic Review, American Economic Association, vol. 72(5), pages 968-979, December.
    14. John Dagsvik & Helge Brunborg & Ane Flaatten, 2001. "A behavioral two-sex marriage model," Mathematical Population Studies, Taylor & Francis Journals, vol. 9(2), pages 97-121.
    15. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    16. Lauermann, Stephan & Nöldeke, Georg, 2014. "Stable marriages and search frictions," Journal of Economic Theory, Elsevier, vol. 151(C), pages 163-195.
    17. Decker, Colin & Lieb, Elliott H. & McCann, Robert J. & Stephens, Benjamin K., 2013. "Unique equilibria and substitution effects in a stochastic model of the marriage market," Journal of Economic Theory, Elsevier, vol. 148(2), pages 778-792.
    18. repec:hal:spmain:info:hdl:2441/1293p84sf58s482v2dpn0gsd67 is not listed on IDEAS
    19. Donald Boyd & Hamilton Lankford & Susanna Loeb & James Wyckoff, 2013. "Analyzing the Determinants of the Matching of Public School Teachers to Jobs: Disentangling the Preferences of Teachers and Employers," Journal of Labor Economics, University of Chicago Press, vol. 31(1), pages 83-117.
    20. repec:hal:spmain:info:hdl:2441/5rkqqmvrn4tl22s9mc0c7apsi is not listed on IDEAS
    21. Dale T. Mortensen, 1978. "Specific Capital and Labor Turnover," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 572-586, Autumn.
    22. Dale T. Mortensen, 1978. "Specific Capital, Bargaining, and Labor Turnover," Discussion Papers 320, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    23. Gretsky, Neil E. & Ostroy, Joseph M. & Zame, William R., 1999. "Perfect Competition in the Continuous Assignment Model," Journal of Economic Theory, Elsevier, vol. 88(1), pages 60-118, September.
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    Cited by:

    1. Dagsvik, John K. & Strøm, Steinar & Locatelli, Marilena, 2021. "Marginal compensated effects in discrete labor supply models," Journal of choice modelling, Elsevier, vol. 41(C).

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    More about this item

    Keywords

    Matching markets; Aggregation; Latent choice sets; Random utility matching models;
    All these keywords.

    JEL classification:

    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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