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Games with capacity manipulation: incentives and Nash equilibria

  • Antonio Romero-Medina

    ()

  • Matteo Triossi

    ()

Studying the interactions between preference and capacity manipulation in matching markets, we prove that acyclicity is a necessary and sufficient 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 games of manipulation in which 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. Copyright Springer-Verlag Berlin Heidelberg 2013

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File URL: http://hdl.handle.net/10.1007/s00355-012-0703-1
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Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 41 (2013)
Issue (Month): 3 (September)
Pages: 701-720

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Handle: RePEc:spr:sochwe:v:41:y:2013:i:3:p:701-720
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  1. Sonmez, Tayfun, 1997. "Manipulation via Capacities in Two-Sided Matching Markets," Journal of Economic Theory, Elsevier, vol. 77(1), pages 197-204, November.
  2. 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.
  3. 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.
  4. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
  5. Pathak, Parag A. & Abdulkadiroglu, Atila & Roth, Alvin, 2005. "The New York City High School Match," Scholarly Articles 2562765, Harvard University Department of Economics.
  6. 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.
  7. Maristella Botticini & Zvi Eckstein, 2006. "Path Dependence and Occupations," Carlo Alberto Notebooks 3, Collegio Carlo Alberto.
  8. Daron Acemoglu & Victor Chernozhukov & Muhamet Yildiz, 2007. "Learning and Disagreement in an Uncertain World," Carlo Alberto Notebooks 48, Collegio Carlo Alberto.
  9. 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).
  10. Garibaldi, Pietro & Pacelli, Lia, 2008. "Do larger severance payments increase individual job duration?," Labour Economics, Elsevier, vol. 15(2), pages 215-245, April.
  11. 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.
  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. Kenn Ariga & Giorgio Brunello & Roki Iwahashi & Lorenzo Rocco, 2006. "On the Efficiency Costs of Detracking Secondary Schools," Carlo Alberto Notebooks 35, Collegio Carlo Alberto.
  14. Antonio Romero-Medina & Matteo Triossi, 2011. "Acyclicity and singleton cores in matching markets," Economics Working Papers we1126, Universidad Carlos III, Departamento de Economía.
  15. 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.
  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. Matteo Triossi & Antonio Romero-Medina, 2010. "Non-revelation Mechanisms in Many-to-One Markets," Documentos de Trabajo 273, Centro de Economía Aplicada, Universidad de Chile.
  18. Ehlers, Lars, 2010. "Manipulation via capacities revisited," Games and Economic Behavior, Elsevier, vol. 69(2), pages 302-311, July.
  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. 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.
  21. Daron Acemoglu & Davide Ticchi & Andrea Vindigni, 2006. "Emergence and Persistence of Inefficient States," Carlo Alberto Notebooks 34, Collegio Carlo Alberto.
  22. 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.
  23. Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci, 2007. "Revealed Ambiguity and Its Consequences: Updating," Carlo Alberto Notebooks 44, Collegio Carlo Alberto.
  24. 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.
  25. 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.
  26. 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.
  27. 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.
  28. Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer, vol. 9(2), pages 197-218.
  29. 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.
  30. 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.
  31. 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.
  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, 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.
  34. Elisa Luciano & Patrizia Semeraro, 2007. "Extending Time-Changed Lévy Asset Models Through Multivariate Subordinators," Carlo Alberto Notebooks 42, Collegio Carlo Alberto.
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