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Strategy-proof and fair assignment is wasteful

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  • Martini, Giorgio

Abstract

I prove there exists no assignment mechanism that is strategy-proof, non-wasteful and satisfies equal treatment of equals. When outside options may exist, this strengthens the impossibility result of Bogomolnaia and Moulin (2001) by weakening ordinal efficiency to non-wastefulness. My result solves an open question posed by Erdil (2014) and complements his results on the efficient frontier of random assignment mechanisms.

Suggested Citation

  • Martini, Giorgio, 2016. "Strategy-proof and fair assignment is wasteful," Games and Economic Behavior, Elsevier, vol. 98(C), pages 172-179.
  • Handle: RePEc:eee:gamebe:v:98:y:2016:i:c:p:172-179
    DOI: 10.1016/j.geb.2016.06.007
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    References listed on IDEAS

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    1. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
    2. Kojima, Fuhito & Manea, Mihai, 2010. "Incentives in the probabilistic serial mechanism," Journal of Economic Theory, Elsevier, vol. 145(1), pages 106-123, January.
    3. Erdil, Aytek, 2014. "Strategy-proof stochastic assignment," Journal of Economic Theory, Elsevier, vol. 151(C), pages 146-162.
    4. Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Random assignment; Random serial dictatorship; Strategy-proofness; Ordinal efficiency; Non-wastefulness;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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