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The Theory of Assortative Matching Based on Costly Signals

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  • Hoppe, Heidrun C.
  • Moldovanu, Benny
  • Sela, Aner

Abstract

We study two-sided markets with a finite numbers of agents on each side, and with two-sided incomplete information. Agents are matched assortatively on the basis of costly signals. A main goal is to identify conditions under which the potential increase in expected output due to assortative matching (relative to random matching) is completely offset by the costs of signalling. We also study how the signalling activity and welfare on each side of the market change when we vary the number of agents and the distribution of their attributes, thereby displaying effects that are particular to small markets. Finally, we look at the continuous version of our two-sided market model and establish the connections to the finite version. Technically, the paper is based on the very elegant theory about stochastic ordering of (normalized) spacings and other linear combinations of order statistics from distributions with monotone failure rates, pioneered by R. Barlow and F. Proschan (1966, 1975) in the framework of reliability theory.

Suggested Citation

  • Hoppe, Heidrun C. & Moldovanu, Benny & Sela, Aner, 2006. "The Theory of Assortative Matching Based on Costly Signals," CEPR Discussion Papers 5543, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:5543
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    1. Fafchamps, Marcel & Quisumbing, Agnes, 2005. "Assets at marriage in rural Ethiopia," Journal of Development Economics, Elsevier, vol. 77(1), pages 1-25, June.
    2. Jeremy Bulow & Jonathan Levin, 2006. "Matching and Price Competition," American Economic Review, American Economic Association, vol. 96(3), pages 652-668, June.
    3. Benny Moldovanu & Aner Sela, 2001. "The Optimal Allocation of Prizes in Contests," American Economic Review, American Economic Association, vol. 91(3), pages 542-558, June.
    4. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    5. Chao, Hung-po & Wilson, Robert, 1987. "Priority Service: Pricing, Investment, and Market Organization," American Economic Review, American Economic Association, vol. 77(5), pages 899-916, December.
    6. Cole, Harold L. & Mailath, George J. & Postlewaite, Andrew, 2001. "Efficient Non-Contractible Investments in Large Economies," Journal of Economic Theory, Elsevier, vol. 101(2), pages 333-373, December.
    7. Wing Suen, 2007. "The comparative statics of differential rents in two-sided matching markets," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(2), pages 149-158, August.
    8. Hu, Taizhong & Wei, Ying, 2001. "Stochastic comparisons of spacings from restricted families of distributions," Statistics & Probability Letters, Elsevier, vol. 53(1), pages 91-99, May.
    9. Ed Hopkins, 2012. "Job Market Signaling Of Relative Position, Or Becker Married To Spence," Journal of the European Economic Association, European Economic Association, vol. 10(2), pages 290-322, April.
    10. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882.
    11. Harold L. Cole & George J. Mailath & Andrew Postlewaite, "undated". "Efficient Non-Contractible Investments," Penn CARESS Working Papers 08d6793d32cab8f6e1f46dac0, Penn Economics Department.
    12. Thomas Kittsteiner & Benny Moldovanu, 2005. "Priority Auctions and Queue Disciplines That Depend on Processing Time," Management Science, INFORMS, vol. 51(2), pages 236-248, February.
    13. Leonardo Felli & Kevin Roberts, 2016. "Does Competition Solve the Hold-up Problem?," Economica, London School of Economics and Political Science, vol. 83(329), pages 172-200, January.
    14. Sattinger, Michael, 1993. "Assignment Models of the Distribution of Earnings," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 831-880, June.
    15. Robert M. Costrell & Glenn C. Loury, 2004. "Distribution of Ability and Earnings in a Hierarchical Job Assignment Model," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1322-1363, December.
    16. Axel Anderson & Lones Smith, 2006. "Assortative Matching and Reputation," Cowles Foundation Discussion Papers 1553, Cowles Foundation for Research in Economics, Yale University.
    17. Ed Hopkins & Tatiana Kornienko, 2006. "Which Inequality? The Inequality of Resources Versus the Inequality of Rewards," Levine's Bibliography 784828000000000621, UCLA Department of Economics.
    18. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation for Research in Economics, Yale University.
    19. Khaledi, Baha-Eldin & Kochar, Subhash, 1999. "Stochastic orderings between distributions and their sample spacings - II," Statistics & Probability Letters, Elsevier, vol. 44(2), pages 161-166, August.
    20. Mo, Jie-Ping, 1988. "Entry and structures of interest groups in assignment games," Journal of Economic Theory, Elsevier, vol. 46(1), pages 66-96, October.
    21. Wilson, Robert B, 1989. "Efficient and Competitive Rationing," Econometrica, Econometric Society, vol. 57(1), pages 1-40, January.
    22. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    23. Cole, Harold L & Mailath, George J & Postlewaite, Andrew, 1992. "Social Norms, Savings Behavior, and Growth," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1092-1125, December.
    24. Raquel Fernández & Jordi Gali, 1999. "To Each According to …? Markets, Tournaments, and the Matching Problem with Borrowing Constraints," Review of Economic Studies, Oxford University Press, vol. 66(4), pages 799-824.
    25. Crawford, Vincent P., 1991. "Comparative statics in matching markets," Journal of Economic Theory, Elsevier, vol. 54(2), pages 389-400, August.
    26. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    27. 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.
    28. Kochar, Subhash C., 1999. "On stochastic orderings between distributions and their sample spacings," Statistics & Probability Letters, Elsevier, vol. 42(4), pages 345-352, May.
    29. Michael Spence, 1973. "Job Market Signaling," The Quarterly Journal of Economics, Oxford University Press, vol. 87(3), pages 355-374.
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    More about this item

    Keywords

    matching; signalling;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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