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Incentives in Two-Sided Matching with Random Stable Mechanisms

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  • Roth, Alvin E
  • Vande Vate, John H

Abstract

This paper considers the incentives confronting agents who face the prospect of being matched by some sort of random stable mechanism, such as that discussed in Roth and Vande Vate (1990). A one period game is studied in which all stable matchings can be achieved as equilibria; in a natural class of undominated strategies, and in which certain unstable matchings can also arise in this way. A multi-period extension of this game is then considered in which subgame perfect equilibria must result in stable matches. These results suggest avenues to explore markets in which matching is organized in a decentralized way.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 1 (1991)
Issue (Month): 1 (January)
Pages: 31-44

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Handle: RePEc:spr:joecth:v:1:y:1991:i:1:p:31-44

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Citations

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Cited by:
  1. Alvin E. Roth & Elliott Peranson, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," NBER Working Papers 6963, National Bureau of Economic Research, Inc.
  2. Ricardo Mora & Antonio Romero-Medina, 2001. "Understanding Preference Formation In A Matching Market," Economics Working Papers we015919, Universidad Carlos III, Departamento de Economía.
  3. Joana Pais, 2006. "Random Matching in the College Admissions Problem," Working Papers Department of Economics 2006/13, ISEG - School of Economics and Management, Department of Economics, University of Lisbon.
  4. Dipjyoti Majumdar, 2003. "Ordinally Bayesian Incentive Compatible Stable Matchings," Working Papers 05001, Concordia University, Department of Economics.
  5. Christoph Müller, 2009. "Wie lässt sich die Zulassungsinformation der Studieninteressenten verbessern?," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), Justus-Liebig University Giessen, Department of Statistics and Economics, vol. 229(5), pages 544-569, October.
  6. Jaramillo, Paula & Kayı, Çaǧatay & Klijn, Flip, 2013. "Equilibria under deferred acceptance: Dropping strategies, filled positions, and welfare," Games and Economic Behavior, Elsevier, vol. 82(C), pages 693-701.
  7. Joana Pais, 2006. "Incentives in Decentralized Random Matching Markets," Working Papers Department of Economics 2006/12, ISEG - School of Economics and Management, Department of Economics, University of Lisbon.
  8. Ma, Jinpeng, 2010. "The singleton core in the college admissions problem and its application to the National Resident Matching Program (NRMP)," Games and Economic Behavior, Elsevier, vol. 69(1), pages 150-164, May.
  9. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-27, June.
  10. Vicki Knoblauch, 2009. "Marriage matching and gender satisfaction," Social Choice and Welfare, Springer, vol. 32(1), pages 15-27, January.
  11. Hatfield, John William & Kojima, Fuhito, 2010. "Substitutes and stability for matching with contracts," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1704-1723, September.
  12. Kojima, Fuhito, 2013. "Efficient resource allocation under multi-unit demand," Games and Economic Behavior, Elsevier, vol. 82(C), pages 1-14.
  13. Blum, Yosef & Roth, Alvin E. & Rothblum, Uriel G., 1997. "Vacancy Chains and Equilibration in Senior-Level Labor Markets," Journal of Economic Theory, Elsevier, vol. 76(2), pages 362-411, October.
  14. Jinpeng Ma & Fusheng Nie, 2002. "Walrasian Equilibrium in an Exchange Economy with Indivisibilities," Departmental Working Papers 200207, Rutgers University, Department of Economics.
  15. Ehlers, Lars, 2004. "In search of advice for participants in matching markets which use the deferred-acceptance algorithm," Games and Economic Behavior, Elsevier, vol. 48(2), pages 249-270, August.

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