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Many-to-One Matching when Colleagues Matter

  • Pablo Revilla

    (Universidad Pablo de Olavide)

This paper studies many-to-one matching market in which each agent’s preferences not only depend on the institution that hires her, but also on the group of her colleagues, which are matched to the same institution. With an unrestricted domain of preferences the non-emptiness of the core is not guaranteed. Under certain conditions on agents’ preferences, we show that two possible situations in which, at least, one stable allocation exists, emerge. The first condition, called Group Togetherness, reflects real-life situations in which agents are more concerned about an acceptable set of colleagues than about the firm hiring them. The second one, Common Best Colleague, refers to markets in which a workers’ ranking is accepted by workers and firms present in such markets.

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Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2007.87.

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Date of creation: Sep 2007
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Handle: RePEc:fem:femwpa:2007.87
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  1. Federico Echenique, 2005. "A Solution to Matching with Preferences over Colleagues," Game Theory and Information 0506005, EconWPA.
  2. José Alcalde & Pablo Revilla, 2003. "Researching with Whom? Stability and Manipulation," Economic Working Papers at Centro de Estudios Andaluces E2003/35, Centro de Estudios Andaluces.
  3. Dutta, B. & Masso, J., 1996. "Stability of Matchings when Individuals Have Preferences Over Colleagues," UFAE and IAE Working Papers 325.96, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  4. Dreze, J.H. & Greenberg, J., . "Hedonic coalitions: optimality and stability," CORE Discussion Papers RP -403, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. José Alcalde & Antonio Romero-Medina, 2006. "Coalition Formation and Stability," Social Choice and Welfare, Springer, vol. 27(2), pages 365-375, October.
  6. 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.
  7. Klaus, Bettina & Klijn, Flip, 2005. "Stable matchings and preferences of couples," Journal of Economic Theory, Elsevier, vol. 121(1), pages 75-106, March.
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