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Two Folk Manipulability Theorems in the General One-to-one Two-sided Matching Markets with Money

Author

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  • David Pérez-Castrillo
  • Marilda Sotomayor

Abstract

We prove a "General Manipulability Theorem" for general one-to-one two-sided matching markets with money. This theorem implies two folk theorems, the Manipulability Theorem and the General Impossibility Theorem, and provides a sort of converse of the Non-Manipulability Theorem (Demange, 1982, Leonard, 1983, Demange and Gale, 1985).

Suggested Citation

  • David Pérez-Castrillo & Marilda Sotomayor, 2013. "Two Folk Manipulability Theorems in the General One-to-one Two-sided Matching Markets with Money," Working Papers 681, Barcelona School of Economics.
    • Handle: RePEc:bge:wpaper:681
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    File URL: http://www.barcelonagse.eu/sites/default/files/working_paper_pdfs/681.pdf
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    References listed on IDEAS

    as
    1. Roth, Alvin E. & Sotomayor, Marilda, 1996. "Stable Outcomes in Discrete and Continuous Models of Two-Sided Matching: a Unified Treatment," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 16(2), November.
    2. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
    3. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    4. Sotomayor, Marilda, 2007. "Connecting the cooperative and competitive structures of the multiple-partners assignment game," Journal of Economic Theory, Elsevier, vol. 134(1), pages 155-174, May.
    5. Marilda Sotomayor, 2012. "A further note on the college admission game," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 179-193, February.
    6. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-479, June.
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    Cited by:

    1. Solymosi, Tamás, 2023. "Sensitivity of fair prices in assignment markets," Mathematical Social Sciences, Elsevier, vol. 126(C), pages 1-12.

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    More about this item

    Keywords

    Matching; Competitive Equilibrium; optimal competitive equilibrium; manipulability; competitive equilibrium mechanism; competitive equilibrium rule;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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