On symmetry in the formation of stable partnerships
In 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.
|Date of creation:||30 Sep 2011|
|Date of revision:|
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- Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2004.
"The Consensus Value : A New Solution Concept for Cooperative Games,"
2004-50, Tilburg University, Center for Economic Research.
- 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., 2007. "The consensus value : A new solution concept for cooperative games," Other publications TiSEM 6cd44a12-a909-47f8-8d85-e, Tilburg University, School of Economics and Management.
- Gabrielle Demange & Gale David & Marilda Sotomayor, 1986.
- 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.
- 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.
- Klaus, Bettina & Klijn, Flip, 2008. "Smith and Rawls Share a Room: Stability and Medians," Research Memorandum 009, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Talman, Dolf & Yang, Zaifu, 2011.
"A model of partnership formation,"
Journal of Mathematical Economics,
Elsevier, vol. 47(2), pages 206-212, March.
- Demange, Gabrielle & Gale, David, 1985.
"The Strategy Structure of Two-sided Matching Markets,"
Econometric Society, vol. 53(4), pages 873-88, July.
- Gabrielle Demange & David Gale, 1985. "The Strategy Structure of Two Sided Matching Markets," Post-Print halshs-00670994, HAL.
- Alvaro Rodrigues-Neto, Jose, 2007.
"Representing roommates' preferences with symmetric utilities,"
Journal of Economic Theory,
Elsevier, vol. 135(1), pages 545-550, July.
- José Álvaro Rodrigues Neto, 2006. "Representing Roomates' Preferences with Symmetric Utilities," Working Papers Series 105, Central Bank of Brazil, Research Department.
- Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
- 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.
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