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Games with Capacity Manipulation: Incentives and Nash Equilibria

  • Antonio Romero-Medina
  • Matteo Triossi

    ()

Studying the interaction between preference and capacity manipulation in matching markets, we prove that acyclicity is a necessary and su!cient condition that guarantees the stability of a Nash equilibrium and the strategy-proofness of truthful capacity revelation under the hospital-optimal and intern-optimal stable rules. we then introduce generalized capacity manipulations games where hospitals move first and state their capacities, and interns are subsequently assigned to hospitals using a sequential mechanism. In this setting, we first consider stable revelation mechanisms and introduce conditions guaranteeing the stability of the outcome. Next, we prove that every stable non-revelation mechanism leads to unstable allocations, unless restrictions on the preferences of the agents are introduced. JEL Classification Numbers: C71, C78, D71, D78.

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File URL: http://www.dii.uchile.cl/~cea/sitedev/cea/www/download.php?file=documentos_trabajo/ASOCFILE120110822084251.pdf
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Paper provided by Centro de Economía Aplicada, Universidad de Chile in its series Documentos de Trabajo with number 280.

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Date of creation: 2011
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Handle: RePEc:edj:ceauch:280
Contact details of provider: Web page: http://www.dii.uchile.cl/cea/

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  1. Antonio Romero-Medina & Matteo Triossi, 2011. "Acyclicity and Singleton Cores in Matching Markets," Documentos de Trabajo 281, Centro de Economía Aplicada, Universidad de Chile.
  2. 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.
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  8. 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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  11. EHLERS, Lars, 2009. "Manipulation via Capacities Revisited," Cahiers de recherche 2009-03, Universite de Montreal, Departement de sciences economiques.
  12. 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.
  13. 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.
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  15. 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.
  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. 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).
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  19. Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci, 2007. "Revealed Ambiguity and Its Consequences: Updating," Carlo Alberto Notebooks 44, Collegio Carlo Alberto.
  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.
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  22. 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.
  23. Antonio Romero-Medina & Matteo Triossi, 2010. "Non-revelation mechanisms in many-to-one markets," Economics Working Papers we1018, Universidad Carlos III, Departamento de Economía.
  24. 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.
  25. 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.
  26. 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.
  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. 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).
  29. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
  30. 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.
  31. 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.
  32. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
  33. Elisa Luciano & Patrizia Semeraro, 2007. "Extending Time-Changed Lévy Asset Models Through Multivariate Subordinators," Carlo Alberto Notebooks 42, Collegio Carlo Alberto.
  34. 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).
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