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Representing Roomates' Preferences with Symmetric Utilities

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  • José Álvaro Rodrigues Neto

Abstract

In the context of the stable roommates problem, it is shown that acyclicity of preferences is equivalent to the existence of symmetric utility functions, i.e. the utility of agent i when matched with j is the same as j 's utility when matched with i .

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File URL: http://www.bcb.gov.br/pec/wps/ingl/wps105.pdf
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Bibliographic Info

Paper provided by Central Bank of Brazil, Research Department in its series Working Papers Series with number 105.

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Date of creation: Apr 2006
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Handle: RePEc:bcb:wpaper:105

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Web page: http://www.bcb.gov.br/?english

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Cited by:
  1. Gudmundsson, Jens, 2013. "A Review of the Existence of Stable Roommate Matchings," Working Papers 2013:8, Lund University, Department of Economics.
  2. Nora Gordon & Brian Knight, 2006. "The Causes of Political Integration: An Application to School Districts," NBER Working Papers 12047, National Bureau of Economic Research, Inc.
  3. Rodrigues-Neto, José Alvaro, 2013. "Acyclic roommates," Economics Letters, Elsevier, vol. 118(2), pages 304-306.
  4. Jens Gudmundsson, 2014. "When do stable roommate matchings exist? A review," Review of Economic Design, Springer, vol. 18(2), pages 151-161, June.
  5. Gordon, Nora & Knight, Brian, 2009. "A spatial merger estimator with an application to school district consolidation," Journal of Public Economics, Elsevier, vol. 93(5-6), pages 752-765, June.
  6. Gudmundsson, Jens, 2011. "On symmetry in the formation of stable partnerships," Working Papers 2011:29, Lund University, Department of Economics.

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