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Acyclicity and singleton cores in matching markets

  • Triossi, Matteo
  • Romero-Medina, Antonio

This paper analyzes the role of acyclicity in singleton cores. We show that the absence of simultaneous cycles is a sufficient condition for the existence of singleton cores. Furthermore, acyclicity in the preferences of either side of the market is a minimal condition that guarantees the existence of singleton cores. If firms or workers preferences are acyclical, unique stable matching is obtained through a procedure that resembles a serial dictatorship. Thus, acyclicity generalizes the notion of common preferences. It follows that if the firms or workers preferences are acyclical, unique stable matching is strongly efficient for the other side of the market

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File URL: http://e-archivo.uc3m.es/bitstream/handle/10016/12071/we1126.pdf?sequence=1
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Paper provided by Universidad Carlos III de Madrid. Departamento de Economía in its series UC3M Working papers. Economics with number we1126.

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Date of creation: 19 Aug 2011
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Handle: RePEc:cte:werepe:we1126
Contact details of provider: Web page: http://www.eco.uc3m.es/

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  1. Guillaume Haeringer & Flip Klijn, 2006. "Constrained School Choice," UFAE and IAE Working Papers 671.06, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 02 Dec 2008.
  2. Antonio Romero-Medina & Matteo Triossi, 2011. "Games with Capacity Manipulation: Incentives and Nash Equilibria," Documentos de Trabajo 280, Centro de Economía Aplicada, Universidad de Chile.
  3. Alejandra Mizala & Pilar Romaguera & Sebastian Gallegos, 2010. "Public-Private Wage Gap In Latin America (1999-2007): A Matching Approach," Documentos de Trabajo 268, Centro de Economía Aplicada, Universidad de Chile.
  4. Eeckhout, Jan, 2000. "On the uniqueness of stable marriage matchings," Economics Letters, Elsevier, vol. 69(1), pages 1-8, October.
  5. Caterina Calsamiglia & Guillaume Haeringer & Flip Klijn, 2008. "Constrained School Choice: An Experimental Study," Working Papers 365, Barcelona Graduate School of Economics.
  6. Tayfun Sonmez, 1999. "Strategy-Proofness and Essentially Single-Valued Cores," Econometrica, Econometric Society, vol. 67(3), pages 677-690, May.
  7. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
  8. Kesten, Onur, 2006. "On two competing mechanisms for priority-based allocation problems," Journal of Economic Theory, Elsevier, vol. 127(1), pages 155-171, March.
  9. Ehlers, Lars & Masso, Jordi, 2007. "Incomplete information and singleton cores in matching markets," Journal of Economic Theory, Elsevier, vol. 136(1), pages 587-600, September.
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