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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. 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.
  2. 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.
  3. Ehlers, Lars, 2010. "Manipulation via capacities revisited," Games and Economic Behavior, Elsevier, vol. 69(2), pages 302-311, July.
  4. Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer, vol. 9(2), pages 197-218.
  5. Parag A. Pathak & Tayfun Sönmez, 2013. "School Admissions Reform in Chicago and England: Comparing Mechanisms by Their Vulnerability to Manipulation," American Economic Review, American Economic Association, vol. 103(1), pages 80-106, February.
  6. Daniela Del Boca & Daniela Vuri, 2006. "The Mismatch between Employment and Child Care in Italy: the Impact of Rationing," CHILD Working Papers wp08_06, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
  7. Daniela Del Boca & Christopher J. Flinn, 2004. "Modes of Spousal Interaction and the Labor Market Environment," CHILD Working Papers wp12_05, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
  8. Botticini, Maristella & Eckstein, Zvi, 2006. "From Farmers to Merchants, Voluntary Conversions and Diaspora: A Human Capital Interpretation of Jewish History," CEPR Discussion Papers 6006, C.E.P.R. Discussion Papers.
  9. 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.
  10. Pietro Garibaldi, 2004. "Do Larger Severance Payments Increase Individual Job Duration?," 2004 Meeting Papers 445b, Society for Economic Dynamics.
  11. Antonio Romero-Medina & Matteo Triossi, 2010. "Non-revelation mechanisms in many-to-one markets," Economics Working Papers we1018, Universidad Carlos III, Departamento de Economía.
  12. Elisa Luciano & Patrizia Semeraro, 2007. "Extending Time-Changed Lévy Asset Models Through Multivariate Subordinators," Carlo Alberto Notebooks 42, Collegio Carlo Alberto.
  13. 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.
  14. Pathak, Parag A. & Abdulkadiroglu, Atila & Roth, Alvin, 2005. "The New York City High School Match," Scholarly Articles 2562765, Harvard University Department of Economics.
  15. Francesco Giavazzi & Pietro Garibaldi & Andrea Ichino & Enrico Rettore, 2009. "College cost and time to complete a degree: Evidence from tuition discontinuities," Working Papers 354, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  16. 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.
  17. 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).
  18. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
  19. Antonio Romero-Medina & Matteo Triossi, 2011. "Acyclicity and singleton cores in matching markets," Economics Working Papers we1126, Universidad Carlos III, Departamento de Economía.
  20. Daron Acemoglu & Victor Chernozhukov & Muhamet Yildiz, 2006. "Learning and Disagreement in an Uncertain World," NBER Working Papers 12648, National Bureau of Economic Research, Inc.
  21. 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).
  22. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
  23. Andrea Buffa & Giovanna Nicodano, 2006. "Should Insider Trading be Prohibited when Share Repurchases are Allowed?," Carlo Alberto Notebooks 16, Collegio Carlo Alberto.
  24. 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.
  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. Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci, 2007. "Revealed Ambiguity and Its Consequences: Updating," Carlo Alberto Notebooks 44, Collegio Carlo Alberto.
  27. 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.
  28. Elisa Luciano & Jaap Spreeuw & Elena Vigna, 2007. "Modelling stochastic mortality for dependent lives," Carlo Alberto Notebooks 43, Collegio Carlo Alberto.
  29. Maristella Botticini & Zvi Eckstein, 2006. "Path Dependence and Occupations," Boston University - Department of Economics - The Institute for Economic Development Working Papers Series DP-154, Boston University - Department of Economics.
  30. 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.
  31. Elliott Peranson & Alvin E. Roth, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," American Economic Review, American Economic Association, vol. 89(4), pages 748-780, September.
  32. 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.
  33. 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.
  34. 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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