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Games of capacities : a (close) look to Nash Equilibria

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  • Romero-Medina, Antonio
  • Triossi, Matteo

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.

Suggested Citation

  • Romero-Medina, Antonio & Triossi, Matteo, 2007. "Games of capacities : a (close) look to Nash Equilibria," UC3M Working papers. Economics we075933, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:we075933
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    References listed on IDEAS

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    1. Romero-Medina, Antonio & Triossi, Matteo, 2013. "Acyclicity and singleton cores in matching markets," Economics Letters, Elsevier, vol. 118(1), pages 237-239.
    2. Marilda Sotomayor, 2008. "The stability of the equilibrium outcomes in the admission games induced by stable matching rules," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 621-640, March.
    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. 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.
    5. Kenn Ariga & Giorgio Brunello & Roki Iwahashi & Lorenzo Rocco, 2006. "On the Efficiency Costs of Detracking Secondary Schools," Carlo Alberto Notebooks 35, Collegio Carlo Alberto.
    6. Ayşe Mumcu & Ismail Saglam, 2009. "Games of capacity allocation in many-to-one matching with an aftermarket," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 383-403, September.
    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. 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.
    9. Pietro Garibaldi & Francesco Giavazzi & Andrea Ichino & Enrico Rettore, 2012. "College Cost and Time to Complete a Degree: Evidence from Tuition Discontinuities," The Review of Economics and Statistics, MIT Press, vol. 94(3), pages 699-711, August.
    10. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
    11. 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.
    12. Andrea M. Buffa & Giovanna Nicodano, 2008. "Should Insider Trading be Prohibited when Share Repurchases are Allowed?," Review of Finance, European Finance Association, vol. 12(4), pages 735-765.
    13. Del Boca, Daniela & Flinn, Christopher, 2005. "Household Time Allocation and Modes of Behavior: A Theory of Sorts," IZA Discussion Papers 1821, Institute of Labor Economics (IZA).
    14. 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.
    15. Daniela Del Boca & Daniela Vuri, 2007. "The mismatch between employment and child care in Italy: the impact of rationing," Journal of Population Economics, Springer;European Society for Population Economics, vol. 20(4), pages 805-832, October.
    16. Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci, 2007. "Revealed Ambiguity and Its Consequences: Updating," Carlo Alberto Notebooks 44, Collegio Carlo Alberto.
    17. Garibaldi, Pietro & Pacelli, Lia, 2008. "Do larger severance payments increase individual job duration?," Labour Economics, Elsevier, vol. 15(2), pages 215-245, April.
    18. 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.
    19. Marilda Sotomayor, 2003. "Reaching the core of the marriage market through a non-revelation matching mechanism," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(2), pages 241-251, December.
    20. 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.
    21. Sonmez, Tayfun, 1997. "Manipulation via Capacities in Two-Sided Matching Markets," Journal of Economic Theory, Elsevier, vol. 77(1), pages 197-204, November.
    22. Elisa Luciano & Patrizia Semeraro, 2007. "Extending Time-Changed Lévy Asset Models Through Multivariate Subordinators," Carlo Alberto Notebooks 42, Collegio Carlo Alberto.
    23. 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, April.
    24. 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.
    25. 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.
    26. 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.
    27. 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.
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    Cited by:

    1. Ehlers, Lars, 2010. "Manipulation via capacities revisited," Games and Economic Behavior, Elsevier, vol. 69(2), pages 302-311, July.
    2. Assaf Romm, 2014. "Implications of capacity reduction and entry in many-to-one stable matching," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 851-875, December.
    3. 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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    More about this item

    Keywords

    Stable matchings;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • J44 - Labor and Demographic Economics - - Particular Labor Markets - - - Professional Labor Markets and Occupations

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