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Games of Capacities: A (Close) Look to Nash Equilibria

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  • Antonio Romero-Medina
  • Matteo Triossi

Abstract

The paper studies two games of capacity manipulation in hospital-intern markets. The focus is on the stability of Nash equilibrium outcomes. We provide minimal necessary and sufficient conditions guaranteeing the existence of pure strategy Nash Equilibria and the stability of outcomes.

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Bibliographic Info

Paper provided by Collegio Carlo Alberto in its series Carlo Alberto Notebooks with number 52.

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Length: 13 pages
Date of creation: 2007
Date of revision:
Handle: RePEc:cca:wpaper:52

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Keywords: Stable Matchings; Capacity; Nash Equilibrium; Cycles.;

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References

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  7. Antonio Romero-Medina & Matteo Triossi, 2011. "Acyclicity and singleton cores in matching markets," Economics Working Papers we1126, Universidad Carlos III, Departamento de Economía.
  8. José Alcalde Pérez & Antonio Romero-Medina, 1996. "Simple mechanisms to implement the core of college admissions problems," Working Papers. Serie AD 1996-13, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  9. Hideo Konishi & M. Utku Unver, 2001. "Games of Capacity Manipulation in Hospital-Intern Markets," Boston College Working Papers in Economics 515, Boston College Department of Economics, revised 31 Jul 2002.
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  24. Alvin E. Roth & Elliott Peranson, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," NBER Working Papers 6963, National Bureau of Economic Research, Inc.
  25. Marilda Sotomayor, 2003. "Reaching the core of the marriage market through a non-revelation matching mechanism," International Journal of Game Theory, Springer, vol. 32(2), pages 241-251, December.
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  29. Daniela Del Boca & Christopher J. Flinn, 2005. "Household Time Allocation and Models of Behavior: A Theory of Sorts," Carlo Alberto Notebooks 8, Collegio Carlo Alberto, revised 2006.
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  31. Kojima Fuhito, 2007. "When Can Manipulations be Avoided in Two-Sided Matching Markets? -- Maximal Domain Results," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-18, September.
  32. 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.
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Citations

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Cited by:
  1. EHLERS, Lars, 2009. "Manipulation via Capacities Revisited," Cahiers de recherche 2009-03, Universite de Montreal, Departement de sciences economiques.
  2. Romero-Medina, Antonio & Triossi, Matteo, 2013. "Acyclicity and singleton cores in matching markets," Economics Letters, Elsevier, vol. 118(1), pages 237-239.

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