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Many-to-one Matching When Colleagues Matter

This paper studies many-to-one matching markets 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. We present some conditions on agents’ preferences which determine two possible situations. In both situations, at least one stable allocation exists. The first one reflects real-life situations in which the agents are more worried about an acceptable set of colleagues than the firm hiring them. The second one refers to markets in which a workers’ ranking is accepted by workers and firms in that market.

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Paper provided by Centro de Estudios Andaluces in its series Economic Working Papers at Centro de Estudios Andaluces with number E2004/85.

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Length: 30 pages
Date of creation: 2004
Date of revision:
Handle: RePEc:cea:doctra:e2004_85
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  1. Alcalde, Jose & Revilla, Pablo, 2004. "Researching with whom? Stability and manipulation," Journal of Mathematical Economics, Elsevier, vol. 40(8), pages 869-887, December.
  2. Bettina Klaus & Flip Klijn, 2004. "Stable Matchings and Preferences of Couples," Working Papers 117, Barcelona Graduate School of Economics.
  3. 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.
  4. José Alcalde & Antonio Romero Medina, 2005. "Coaliton Formation And Stability," Working Papers. Serie AD 2005-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. Federico Echenique & Mehmet B. Yenmez, 2005. "A Solution to Matching with Preferences over Colleagues," Working Papers 2005.120, Fondazione Eni Enrico Mattei.
  6. 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).
  7. 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).
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