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Protective Behaviour in Matching Models

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Author Info

  • Barbera, S.
  • Dutta, B.

Abstract

This paper analyzes the use of a version of lexical maximim strategies, called protective behavior, in two-sided matching models. It restricts attention to mechanisms which produce stable matchings, that is, matchings which are individually rational and pairwise optimal. The main results of the paper show that truth-telling is the unique form of protective behavior in two such mechanisms. The first is the one which selects the student-optimal stable matching in the college-admissions model, while the second is the mechanism which selects the buyer-optimal matching in the Shapley-Shubik assignment model. Journal of Economic Literature Classification Numbers: C78, D81.

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Bibliographic Info

Paper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 157.91.

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Length: 32 pages
Date of creation: 1991
Date of revision:
Handle: RePEc:aub:autbar:157.91

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Keywords: game theory ; market ; microeconomics ; economic equilibrium;

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References

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  1. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-79, June.
  2. Barbera, Salvador & Pattanaik, Prasanta K., 1984. "Extending an order on a Set to the power set: Some remarks on Kannai and Peleg's approach," Journal of Economic Theory, Elsevier, vol. 32(1), pages 185-191, February.
  3. Herve Moulin, 1979. "Prudence Versus Sophistication in Voting Strategy," Discussion Papers 375, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Roth, Alvin E., 1984. "Misrepresentation and stability in the marriage problem," Journal of Economic Theory, Elsevier, vol. 34(2), pages 383-387, December.
  5. Dasgupta, Partha S & Hammond, Peter J & Maskin, Eric S, 1979. "The Implementation of Social Choice Rules: Some General Results on Incentive Compatibility," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 185-216, April.
  6. Kannai, Yakar & Peleg, Bezalel, 1984. "A note on the extension of an order on a set to the power set," Journal of Economic Theory, Elsevier, vol. 32(1), pages 172-175, February.
  7. Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
  8. Barbera, Salvador & Dutta, Bhaskar, 1982. "Implementability via protective equilibria," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 49-65, June.
  9. Roth, Alvin E., 1989. "Two-sided matching with incomplete information about others' preferences," Games and Economic Behavior, Elsevier, vol. 1(2), pages 191-209, June.
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Citations

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Cited by:
  1. Flip Klijn & Joana Pais & Marc Vorsatz, 2010. "Preference Intensities and Risk Aversion in School Choice: A Laboratory Experiment," UFAE and IAE Working Papers 816.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Joana Pais & Agnes Pinter & Robert F. Veszteg, 2008. "College admissions and the role of information : an experimental study," Economics Working Papers we080302, Universidad Carlos III, Departamento de Economía.
  3. Fiestras-Janeiro, G. & Borm, P.E.M. & Megen, F.J.C. van, 1996. "Protective Behavior in Games," Discussion Paper 1996-12, Tilburg University, Center for Economic Research.
  4. Joana Pais & Agnes Pinter, 2007. "School Choice and Information. An Experimental Study on Matching Mechanisms," Labsi Experimental Economics Laboratory University of Siena 018, University of Siena.
  5. Naeve, Jorg, 2000. "Maximax, leximax, and the demanding criterion," Mathematical Social Sciences, Elsevier, vol. 40(3), pages 313-325, November.
  6. Fiestras-Janeiro, Gloria & Borm, Peter & van Megen, Freek, 1998. "Protective and Prudent Behaviour in Games," Journal of Economic Theory, Elsevier, vol. 78(1), pages 167-175, January.
  7. Nicoló, Antonio & Rodríguez-Álvarez, Carmelo, 2012. "Transplant quality and patientsʼ preferences in paired kidney exchange," Games and Economic Behavior, Elsevier, vol. 74(1), pages 299-310.

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