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Assortative Matching and Reputation

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Author Info
Axel Anderson (Economics Department, Georgetown University)
Lones Smith (Dept. of Economics, University of Michigan)

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Abstract

Consider Becker's classic 1963 matching model, with unobserved fixed types and stochastic publicly observed output. If types are complementary, then matching is assortative in the known Bayesian posteriors (the 'reputations'). We discover a robust failure of Becker's result in the simplest dynamic two type version of this world. Assortative matching is generally neither efficient nor an equilibrium for high discount factors. In a labor theoretic rationale, we show that assortative matching fails around the highest (lowest) reputation agents for 'low-skill (high-skill) concealing' technologies. We then find that as the number of production outcomes grows, almost all technologies are of either form. Our theory implies the dynamic result that high-skill matches eventually break up. It also reveals that the induced information rents create discontinuities in the wage profile. This in turn produces life-cycle effects: young workers are paid less than their static marginal product, and old workers more.

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File URL: http://cowles.econ.yale.edu/P/cd/d15b/d1553.pdf
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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1553.

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Length: 40 pages
Date of creation: Jan 2006
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Handle: RePEc:cwl:cwldpp:1553

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Related research
Keywords: assortative matching incomplete information wages Bayesian posterior value function

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Find related papers by JEL classification:
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Hutchens, Robert M, 1987. "A Test of Lazear's Theory of Delayed Payment Contracts," Journal of Labor Economics, University of Chicago Press, vol. 5(4), pages S153-70, October. [Downloadable!] (restricted)
  2. Kremer, Michael, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, MIT Press, vol. 108(3), pages 551-75, August. [Downloadable!] (restricted)
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  4. Muriel Niederle & Alvin E. Roth, 2004. "Market Culture: How Norms Governing Exploding Offers Affect Market Performance," Levine's Bibliography 122247000000000207, UCLA Department of Economics. [Downloadable!]
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  5. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
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  6. Lones Smith, 2006. "The Marriage Model with Search Frictions," Journal of Political Economy, University of Chicago Press, vol. 114(6), pages 1124-1146, December. [Downloadable!] (restricted)
  7. Lazear, Edward P, 1981. "Agency, Earnings Profiles, Productivity, and Hours Restrictions," American Economic Review, American Economic Association, vol. 71(4), pages 606-20, September. [Downloadable!] (restricted)
  8. Heski Bar-Isaac, 2004. "Something to Prove: Reputation in teams and hiring to introduce uncertainty," Working Papers 04-07, New York University, Leonard N. Stern School of Business, Department of Economics. [Downloadable!]
  9. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-46, July-Aug.. [Downloadable!] (restricted)
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  10. Mortensen, Dale T, 1982. "Property Rights and Efficiency in Mating, Racing, and Related Games," American Economic Review, American Economic Association, vol. 72(5), pages 968-79, December. [Downloadable!] (restricted)
  11. Burdett, Ken & Coles, Melvyn G, 1997. "Marriage and Class," The Quarterly Journal of Economics, MIT Press, vol. 112(1), pages 141-68, February.
  12. Jovanovic, Boyan, 1979. "Job Matching and the Theory of Turnover," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 972-90, October. [Downloadable!] (restricted)
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  13. Gretsky, Neil E & Ostroy, Joseph M & Zame, William R, 1992. "The Nonatomic Assignment Model," Economic Theory, Springer, vol. 2(1), pages 103-27, January.
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Cited by:
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  1. 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. [Downloadable!] (restricted)
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  2. Ximena Peña, . "Assortative Matching and the Education Gap," Borradores de Economia 427, Banco de la Republica de Colombia. [Downloadable!]
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