On symmetry in the formation of stable partnerships
AbstractIn this note, we examine the connection between the roommate model and the partnership formation model (Talman and Yang, 2011, Journal of Mathematical Economics 47, 206-212). Upon noting that both occasionally lack equilibria we look at the stable partnerships model, a combination of the former models and interpretable as one with a social planner. We find two sufficient conditions for the existence of stable matchings in the stable partnerships model, where one relates to efficiency, and one (the symmetry condition) to fairness. Finally, we provide examples from the fair sharing literature on dividing common values that satisfy the symmetry condition.
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Bibliographic InfoPaper provided by Lund University, Department of Economics in its series Working Papers with number 2011:29.
Length: 7 pages
Date of creation: 30 Sep 2011
Date of revision:
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One-sided matching; partnership formation; symmetry condition; stability;
Find related papers by JEL classification:
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- D02 - Microeconomics - - General - - - Institutions: Design, Formation, and Operations
- D60 - Microeconomics - - Welfare Economics - - - General
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- Suryapratim Banerjee & Hideo Konishi & Tayfun Sonmez, 1999.
"Core in a Simple Coalition Formation Game,"
Boston College Working Papers in Economics
449, Boston College Department of Economics.
- Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
- Klaus, Bettina & Klijn, Flip, 2008.
"Smith and Rawls Share a Room: Stability and Medians,"
009, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- Bettina Klaus & Flip Klijn, 2010. "Smith and Rawls share a room: stability and medians," Social Choice and Welfare, Springer, vol. 35(4), pages 647-667, October.
- Bettina Klaus & Flip Klijn, 2009. "Smith and Rawls Share a Room: Stability and Medians," Harvard Business School Working Papers 09-111, Harvard Business School.
- Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2007.
"The consensus value: A new solution concept for cooperative games,"
Open Access publications from Tilburg University
urn:nbn:nl:ui:12-195202, Tilburg University.
- Yuan Ju & Peter Borm & Pieter Ruys, 2007. "The consensus value: a new solution concept for cooperative games," Social Choice and Welfare, Springer, vol. 28(4), pages 685-703, June.
- Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2004. "The Consensus Value: A New Solution Concept for Cooperative Games," Discussion Paper 2004-50, Tilburg University, Center for Economic Research.
- José Álvaro Rodrigues Neto, 2006.
"Representing Roomates' Preferences with Symmetric Utilities,"
Working Papers Series
105, Central Bank of Brazil, Research Department.
- Alvaro Rodrigues-Neto, Jose, 2007. "Representing roommates' preferences with symmetric utilities," Journal of Economic Theory, Elsevier, vol. 135(1), pages 545-550, July.
- Johan Karlander & Kimmo Eriksson, 2001. "Stable outcomes of the roommate game with transferable utility," International Journal of Game Theory, Springer, vol. 29(4), pages 555-569.
- Talman, A.J.J. & Yang, Z.F., 2008.
"A Model of Partnership Formation,"
2008-103, Tilburg University, Center for Economic Research.
- 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.
- Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-88, July.
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