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Group strategy-proof stable mechanisms in priority-based resource allocation under multi-unit demand: a note

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  • Antonio Romero-Medina
  • Matteo Triossi

Abstract

In this note we prove that group strategy-proofness and strategy-proofness are equivalent requirements on stable mechanisms in priority-based resource allocation problems with multi-unit demand. JEL Classiffication Numbers: C71; C78; D71; D78; J44. Key words: Keywords: Matching; Multi-unit demand; Stability; Strategy-proofness, Group Strategy-proofness; Essential homogeneity.

Suggested Citation

  • Antonio Romero-Medina & Matteo Triossi, 2017. "Group strategy-proof stable mechanisms in priority-based resource allocation under multi-unit demand: a note," Documentos de Trabajo 333, Centro de Economía Aplicada, Universidad de Chile.
  • Handle: RePEc:edj:ceauch:333
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    References listed on IDEAS

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    1. James Schummer & Rakesh V. Vohra, 2013. "Assignment of Arrival Slots," American Economic Journal: Microeconomics, American Economic Association, vol. 5(2), pages 164-185, May.
    2. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
    3. Schummer, James & Abizada, Azar, 2017. "Incentives in landing slot problems," Journal of Economic Theory, Elsevier, vol. 170(C), pages 29-55.
    4. Charles Blair, 1988. "The Lattice Structure of the Set of Stable Matchings with Multiple Partners," Mathematics of Operations Research, INFORMS, vol. 13(4), pages 619-628, November.
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    6. Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
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    Cited by:

    1. Antonio Romero-Medina & Matteo Triossi, 2021. "Two-sided strategy-proofness in many-to-many matching markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 105-118, March.

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    More about this item

    Keywords

    keywords: matching; multi-unit demand; stability; strategy-proofness; group strategy-proofness; essential homogeneity.;
    All these keywords.

    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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