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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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File URL: http://www.carloalberto.org/assets/working-papers/no.52.pdf
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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. Kenn Ariga & Giorgio Brunello & Roki Iwahashi & Lorenzo Rocco, 2006. "On the Efficiency Costs of Detracking Secondary Schools," Carlo Alberto Notebooks 35, Collegio Carlo Alberto.
  2. Pietro Garibaldi & Francesco Giavazzi & Andrea Ichino & Enrico Rettore, 2007. "College Cost and Time to Complete a Degree: Evidence from Tuition Discontinuities," NBER Working Papers 12863, National Bureau of Economic Research, Inc.
  3. Luciano, Elisa & Spreeuw, Jaap & Vigna, Elena, 2008. "Modelling stochastic mortality for dependent lives," Insurance: Mathematics and Economics, Elsevier, vol. 43(2), pages 234-244, October.
  4. Ayse Mumcu & Ismail Saglam, 2008. "Games of Capacity Allocation in Many-to-One Matching with an Aftermarket," Working Papers 0802, TOBB University of Economics and Technology, Department of Economics.
  5. Daron Acemoglu & Victor Chernozhukov & Muhamet Yildiz, 2007. "Learning and Disagreement in an Uncertain World," Carlo Alberto Notebooks 48, Collegio Carlo Alberto.
  6. 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.
  7. 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.
  8. Garibaldi, Pietro & Pacelli, Lia, 2004. "Do Larger Severance Payments Increase Individual Job Duration?," CEPR Discussion Papers 4607, C.E.P.R. Discussion Papers.
  9. Parag A. Pathak & Tayfun Sönmez, 2011. "School Admissions Reform in Chicago and England: Comparing Mechanisms by Their Vulnerability to Manipulation," NBER Working Papers 16783, National Bureau of Economic Research, Inc.
  10. Del Boca, Daniela & Flinn, Christopher, 2006. "Modes of Spousal Interaction and the Labor Market Environment," IZA Discussion Papers 2005, Institute for the Study of Labor (IZA).
  11. Botticini, Maristella & Eckstein, Zvi, 2006. "From Farmers to Merchants, Voluntary Conversions and Diaspora: A Human Capital Interpretation of Jewish History," CEPR Discussion Papers 5571, C.E.P.R. Discussion Papers.
  12. Romero-Medina, Antonio & Triossi, Matteo, 2013. "Acyclicity and singleton cores in matching markets," Economics Letters, Elsevier, vol. 118(1), pages 237-239.
  13. Del Boca, Daniela & Sauer, Robert M., 2006. "Life Cycle Employment and Fertility Across Institutional Environments," IZA Discussion Papers 2285, Institute for the Study of Labor (IZA).
  14. 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.
  15. 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.
  16. Ehlers, Lars, 2010. "Manipulation via capacities revisited," Games and Economic Behavior, Elsevier, vol. 69(2), pages 302-311, July.
  17. 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.
  18. Daron Acemoglu & Davide Ticchi & Andrea Vindigni, 2011. "Emergence And Persistence Of Inefficient States," Journal of the European Economic Association, European Economic Association, vol. 9(2), pages 177-208, 04.
  19. Romero-Medina, Antonio & Triossi, Matteo, 2014. "Non-revelation mechanisms in many-to-one markets," Games and Economic Behavior, Elsevier, vol. 87(C), pages 624-630.
  20. 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.
  21. Del Boca, Daniela & Flinn, Christopher, 2005. "Household Time Allocation and Modes of Behavior: A Theory of Sorts," IZA Discussion Papers 1821, Institute for the Study of Labor (IZA).
  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. Peter Klibanoff & Massimo Marinacci & Sujoy Mukerji, 2006. "Recursive Smooth Ambiguity Preferences," Carlo Alberto Notebooks 17, Collegio Carlo Alberto, revised 2008.
  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.
  26. Elisa Luciano & Patrizia Semeraro, 2007. "Extending Time-Changed Lévy Asset Models Through Multivariate Subordinators," Carlo Alberto Notebooks 42, Collegio Carlo Alberto.
  27. 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.
  28. 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.
  29. Maristella Botticini & Zvi Eckstein, 2006. "Path Dependence and Occupations," Carlo Alberto Notebooks 3, Collegio Carlo Alberto.
  30. Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci, 2007. "Revealed Ambiguity and Its Consequences: Updating," Carlo Alberto Notebooks 44, Collegio Carlo Alberto.
  31. Sonmez, Tayfun, 1997. "Manipulation via Capacities in Two-Sided Matching Markets," Journal of Economic Theory, Elsevier, vol. 77(1), pages 197-204, November.
  32. Hideo Konishi & M. Ünver, 2006. "Games of Capacity Manipulation in Hospital-intern Markets," Social Choice and Welfare, Springer, vol. 27(1), pages 3-24, August.
  33. Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer, vol. 9(2), pages 197-218.
  34. Alcalde, Jose & Romero-Medina, Antonio, 2000. "Simple Mechanisms to Implement the Core of College Admissions Problems," Games and Economic Behavior, Elsevier, vol. 31(2), pages 294-302, May.
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