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Farsighted Stability for Roommate Markets

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Author Info
Bettina-Elisabeth Klaus () (Harvard Business School, Negotiation, Organizations & Markets Unit)
Flip Klijn () (Institute for Economic Analysis (CSIC))
Markus Walzl () (Department of Economics, Bamberg University)

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Abstract

Using a bi-choice graph technique (Klaus and Klijn, 2009), we show that a matching for a roommate market indirectly dominates another matching if and only if no blocking pair of the former is matched in the latter (Proposition 1). Using this characterization of indirect dominance, we investigate von Neumann-Morgenstern farsightedly stable sets. We show that a singleton is von Neumann-Morgenstern farsightedly stable if and only if the matching is stable (Theorem 1). We also present roommate markets with no and with a non-singleton von Neumann-Morgenstern farsightedly stable set (Examples 1 and 2).

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Publisher Info
Paper provided by Harvard Business School in its series Harvard Business School Working Papers with number 09-135.

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Length: 18 pages
Date of creation: May 2009
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Handle: RePEc:hbs:wpaper:09-135

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Related research
Keywords: core; farsighted stability; one- and two-sided matching; roommate markets; von Neumann-Morgenstern stability.;

Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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This page was last updated on 2009-11-19.

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