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Coalitional Matchings

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Author Info
Dinko Dimitrov (University of Bayreuth)
Emiliya Lazarova (School of Management and Economics, Queen’s University Belfast)

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Abstract

A coalitional matching is a two-sided matching problem in which agents on each side of the market may form coalitions such as student groups and research teams who - when matched - form universities. We assume that each researcher has preferences over the research teams he would like to work in and over the student groups he would like to teach to. Correspondingly, each student has preferences over the groups of students he wants to study with and over the teams of researchers he would like to learn from. In this setup, we examine how the existence of core stable partitions on the distinct market sides, the restriction of agents’ preferences over groups to strict orderings, and the extent to which individual preferences respect common rankings shape the existence of core stable coalitional matchings.

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Publisher Info
Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2008.45.

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Date of creation: May 2008
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Handle: RePEc:fem:femwpa:2008.45

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Related research
Keywords: Coalitions; Common Rankings; Core; Stability; Totally Balanced Games; Two-Sided Matchings;

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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
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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References listed on IDEAS
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  1. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer, vol. 18(1), pages 135-153. [Downloadable!] (restricted)
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  2. Pablo Revilla, 2007. "Many-to-One Matching when Colleagues Matter," Working Papers 2007.87, Fondazione Eni Enrico Mattei. [Downloadable!]
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  3. J. Peter Neary & James A. Mirrlees & Jean Tirole, 2003. "Evaluating Economics Research in Europe: An Introduction," Journal of the European Economic Association, MIT Press, vol. 1(6), pages 1239-1249, December. [Downloadable!] (restricted)
  4. Dutta, Bhaskar & Masso, Jordi, 1997. "Stability of Matchings When Individuals Have Preferences over Colleagues," Journal of Economic Theory, Elsevier, vol. 75(2), pages 464-475, August. [Downloadable!] (restricted)
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  5. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier. [Downloadable!] (restricted)
  6. Sotomayor, Marilda, 1996. "A Non-constructive Elementary Proof of the Existence of Stable Marriages," Games and Economic Behavior, Elsevier, vol. 13(1), pages 135-137, March. [Downloadable!] (restricted)
  7. Echenique, Federico & Yenmez, M. Bumin, 2007. "A solution to matching with preferences over colleagues," Games and Economic Behavior, Elsevier, vol. 59(1), pages 46-71, April. [Downloadable!] (restricted)
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  8. Farrell, Joseph & Scotchmer, Suzanne, 1988. "Partnerships," The Quarterly Journal of Economics, MIT Press, vol. 103(2), pages 279-97, May. [Downloadable!] (restricted)
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  9. Klaus, Bettina & Klijn, Flip, 2005. "Stable matchings and preferences of couples," Journal of Economic Theory, Elsevier, vol. 121(1), pages 75-106, March. [Downloadable!] (restricted)
  10. 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)
  11. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February. [Downloadable!] (restricted)
  12. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-50, March. [Downloadable!] (restricted)
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