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

  • Antonio Romero-Medina
  • Matteo Triossi

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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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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  1. Antonio Romero-Medina & Matteo Triossi, 2010. "Non-revelation mechanisms in many-to-one markets," Economics Working Papers we1018, Universidad Carlos III, Departamento de Economía.
  2. Daniela Del Boca & Daniela Vuri, 2006. "The Mismatch between Employment and Child Care in Italy: the Impact of Rationing," Carlo Alberto Notebooks 31, Collegio Carlo Alberto.
  3. Daron Acemoglu & Victor Chernozhukov & Muhamet Yildiz, 2006. "Learning and Disagreement in an Uncertain World," NBER Working Papers 12648, National Bureau of Economic Research, Inc.
  4. Garibaldi, Pietro & Pacelli, Lia, 2004. "Do Larger Severance Payments Increase Individual Job Duration?," CEPR Discussion Papers 4607, C.E.P.R. Discussion Papers.
  5. EHLERS, Lars, 2009. "Manipulation via Capacities Revisited," Cahiers de recherche 2009-03, Universite de Montreal, Departement de sciences economiques.
  6. 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).
  7. Elisa Luciano & Patrizia Semeraro, 2007. "Extending Time-Changed Lévy Asset Models Through Multivariate Subordinators," Carlo Alberto Notebooks 42, Collegio Carlo Alberto.
  8. 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.
  9. Alvin E. Roth, 2002. "The Economist as Engineer: Game Theory, Experimentation, and Computation as Tools for Design Economics," Econometrica, Econometric Society, vol. 70(4), pages 1341-1378, July.
  10. Ayşe Mumcu & Ismail Saglam, 2009. "Games of capacity allocation in many-to-one matching with an aftermarket," Social Choice and Welfare, Springer, vol. 33(3), pages 383-403, September.
  11. Daron Agemoglu & Davide Ticchi & Andrea Vindigni, 2006. "Emergence and Persistence of Inefficient States," LABORatorio R. Revelli Working Papers Series 54, LABORatorio R. Revelli, Centre for Employment Studies.
  12. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
  13. Garibaldi, Pietro & Giavazzi, Francesco & Ichino, Andrea & Rettore, Enrico, 2007. "College Cost and Time to Complete a Degree: Evidence from Tuition Discontinuities," CEPR Discussion Papers 6106, C.E.P.R. Discussion Papers.
  14. Maristella Botticini & Zvi Eckstein, 2006. "From Farmers to Merchants, Voluntary Conversion and Diaspora: A Human Capital Interpretation of Jewish History," Carlo Alberto Notebooks 2, Collegio Carlo Alberto.
  15. Romero-Medina, Antonio & Triossi, Matteo, 2013. "Acyclicity and singleton cores in matching markets," Economics Letters, Elsevier, vol. 118(1), pages 237-239.
  16. 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.
  17. Daniela Del Boca & Christopher J. Flinn, 2005. "Household Time Allocation and Modes of Behavior: A Theory of Sorts," CHILD Working Papers wp15_05, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
  18. Elisa Luciano & Jaap Spreeuw & Elena Vigna, 2007. "Modelling stochastic mortality for dependent lives," Carlo Alberto Notebooks 43, Collegio Carlo Alberto.
  19. Daniela Del Boca & Christopher J. Flinn, 2006. "Modes of Spousal Interaction and the Labor Market Environment," Carlo Alberto Notebooks 14, Collegio Carlo Alberto.
  20. Del Boca, Daniela & Sauer, Robert M., 2009. "Life cycle employment and fertility across institutional environments," European Economic Review, Elsevier, vol. 53(3), pages 274-292, April.
  21. Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth, 2005. "The New York City High School Match," American Economic Review, American Economic Association, vol. 95(2), pages 364-367, May.
  22. Ariga, Kenn & Brunello, Giorgio & Iwahashi, Roki & Rocco, Lorenzo, 2006. "On the Efficiency Costs of De-tracking Secondary Schools," IZA Discussion Papers 2534, Institute for the Study of Labor (IZA).
  23. 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.
  24. Parag A. Pathak & Tayfun Sönmez, 2011. "School Admissions Reform in Chicago and England: Comparing Mechanisms by their Vulnerability to Manipulation," Boston College Working Papers in Economics 784, Boston College Department of Economics.
  25. Sonmez, Tayfun, 1997. "Manipulation via Capacities in Two-Sided Matching Markets," Journal of Economic Theory, Elsevier, vol. 77(1), pages 197-204, November.
  26. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
  27. Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci, 2007. "Revealed Ambiguity and Its Consequences: Updating," Carlo Alberto Notebooks 44, Collegio Carlo Alberto.
  28. Marilda Sotomayor, 2008. "The stability of the equilibrium outcomes in the admission games induced by stable matching rules," International Journal of Game Theory, Springer, vol. 36(3), pages 621-640, March.
  29. 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.
  30. 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.
  31. Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer, vol. 9(2), pages 197-218.
  32. Maristella Botticini & Zvi Eckstein, 2006. "Path Dependence and Occupations," Carlo Alberto Notebooks 3, Collegio Carlo Alberto.
  33. Filippo Fiorani & Elisa Luciano & Patrizia Semeraro, 2007. "Single and joint default in a structural model with purely discontinuous assets," Carlo Alberto Notebooks 41, Collegio Carlo Alberto.
  34. Andrea Buffa & Giovanna Nicodano, 2006. "Should Insider Trading be Prohibited when Share Repurchases are Allowed?," Carlo Alberto Notebooks 16, Collegio Carlo Alberto.
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