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A Generalization of the Lone Wolf Theorem

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  • Hakan İnal

Abstract

A non-constructive generalization of the ‘lone wolf’ theorem, which states that in the roommates problem an agent is single in a stable matching if and only if that agent is single in every other stable matching, is presented. The generalization is in two directions: (i) the set of permissible roommates is arbitrary as long as all singles are allowed, and (ii) the set of preference profiles is any subset of the set of all profiles of strict preferences defined over permissible roommates.

Suggested Citation

  • Hakan İnal, 2014. "A Generalization of the Lone Wolf Theorem," Metroeconomica, Wiley Blackwell, vol. 65(4), pages 541-547, November.
    • Handle: RePEc:bla:metroe:v:65:y:2014:i:4:p:541-547
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    File URL: http://hdl.handle.net/10.1111/meca.12048
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    References listed on IDEAS

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    1. Klaus, Bettina & Klijn, Flip & Walzl, Markus, 2010. "Stochastic stability for roommate markets," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2218-2240, November.
    2. Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
    3. Iñarra García, María Elena & Larrea Jaurrieta, María Concepción & Molis Bañales, Elena, 2007. "The Stability of the Roommate Problem Revisited," IKERLANAK info:eu-repo/grantAgreeme, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    4. Pierre-André Chiappori & Alfred Galichon & Bernard Salanié, 2012. "The Roommate Problem is More Stable than You Think," SciencePo Working papers Main hal-03588302, HAL.
    5. Morrill, Thayer, 2010. "The roommates problem revisited," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1739-1756, September.
    6. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2004. "Random paths to stability in the roommate problem," Games and Economic Behavior, Elsevier, vol. 48(1), pages 18-28, July.
    7. repec:hal:spmain:info:hdl:2441/3sd5loegec9d3o795888da61tp is not listed on IDEAS
    8. Bettina Klaus & Flip Klijn, 2010. "Smith and Rawls share a room: stability and medians," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(4), pages 647-667, October.
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