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Decentralized Matching Markets with Endogenous Salaries

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Author Info
Hideo Konishi () (Boston College)
Margarita Sapozhnikov (Boston College)

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Abstract

In a Shapley-Shubik assignment problem with a supermodular output matrix, we consider games in which each firm makes a take-it-or-leave-it salary offer to one applicant, and a match is made only when the offer is accepted by her. We consider both one-shot and multistage games. In either game, we show that there can be many equilibrium salary vectors which are higher or lower than the minimal competitive salary vector. If we exclude artificial equilibria, applicants' equilibrium salary vectors are bounded above by the minimal competitive salary vector, while firms' equilibrium payoff vectors are bounded below by the payoff vector under the minimal competitive salary vector. This suggests that adopting the minimal competitive salary vector as the equilibrium outcome in decentralized markets does not have a strong justification.

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Publisher Info
Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 654.

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Length: 36 pages
Date of creation: 10 Nov 2006
Date of revision: 03 Jan 2008
Publication status: published, Games and Economic Behavior, 2008, 64:193-218.
Handle: RePEc:boc:bocoec:654

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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
J01 - Labor and Demographic Economics - - General - - - Labor Economics: General

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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. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September. [Downloadable!] (restricted)
  2. Muriel Niederle, 2006. "Competitive Wages in a Match with Ordered Contracts," NBER Working Papers 12334, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Blackwell Publishing, vol. 60(2), pages 463-77, April. [Downloadable!] (restricted)
  4. Alcalde, Jose & Perez-Castrillo, David & Romero-Medina, Antonio, 1998. "Hiring Procedures to Implement Stable Allocations," Journal of Economic Theory, Elsevier, vol. 82(2), pages 469-480, October. [Downloadable!] (restricted)
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  5. Muriel Niederle & Alvin E. Roth, 2004. "Market Culture: How Norms Governing Exploding Offers Affect Market Performance," Levine's Bibliography 122247000000000018, UCLA Department of Economics. [Downloadable!]
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  6. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August. [Downloadable!] (restricted)
  7. Jeremy Bulow & Jonathan Levin, 2006. "Matching and Price Competition," American Economic Review, American Economic Association, vol. 96(3), pages 652-668, June. [Downloadable!]
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  8. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May. [Downloadable!] (restricted)
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Cited by:
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  1. Fuhito Kojima, 2007. "Matching and Price Competition: Comment," American Economic Review, American Economic Association, vol. 97(3), pages 1027-1031, June. [Downloadable!]
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