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Procedurally Fair Implementation: The Cost of Insisting on Symmetry

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  • Korpela Ville

    (Department of Economics, University of Turku)

Abstract

We derive a necessary and a sufficient condition for Nash implementation with a procedurally fair mechanism. Our result has a nice analogue with the path-braking result of Maskin [Nash equilibrium and welfare optimality, Rev. Econ. Stud. 66 (1999) 23-38.], and therefore, it allows us to give a simple characterization of those choice rules that are implementable, but not in a procedurally fair way. This reveals the constraints that insisting on procedural fairness impose on the collective.

Suggested Citation

  • Korpela Ville, 2016. "Procedurally Fair Implementation: The Cost of Insisting on Symmetry," Discussion Papers 108, Aboa Centre for Economics.
    • Handle: RePEc:tkk:dpaper:dp108
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    File URL: http://ace-economics.fi/kuvat/dp108.pdf
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    References listed on IDEAS

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    1. Sakai, Toyotaka, 2007. "Fairness and implementability in allocation of indivisible objects with monetary compensations," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 549-563, June.
    2. Sébastien Rouillon, 2013. "Anonymous implementation of the Lindahl correspondence: possibility and impossibility results," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1179-1203, April.
    3. Moulin, HervÈ, 1997. "Procedural cum Endstate Justice: An Implementation Viewpoint," Working Papers 97-17, Duke University, Department of Economics.
    4. Galbiati, Marco, 2008. "Fair divisions as attracting Nash equilibria of simple games," Economics Letters, Elsevier, vol. 100(1), pages 72-75, July.
    5. Guoqiang Tian, 1989. "Implementation of the Lindahl Correspondence by a Single-Valued, Feasible, and Continuous Mechanism," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 613-621.
    6. Azrieli, Yaron & Jain, Ritesh, 2018. "Symmetric mechanism design," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 108-118.
    7. , A., 2010. "Supermodular mechanism design," Theoretical Economics, Econometric Society, vol. 5(3), September.
    8. Yan Chen, 2002. "A family of supermodular Nash mechanisms implementing Lindahl allocations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 773-790.
    9. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-1099, September.
    10. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-980, November.
    11. Epstein, Larry G. & Peters, Michael, 1999. "A Revelation Principle for Competing Mechanisms," Journal of Economic Theory, Elsevier, vol. 88(1), pages 119-160, September.
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    Cited by:

    1. Azrieli, Yaron & Jain, Ritesh, 2018. "Symmetric mechanism design," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 108-118.

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    More about this item

    Keywords

    Characterization; Implementation; Nash equilibrium; Other regarding preferences; Procedural fairness;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D64 - Microeconomics - - Welfare Economics - - - Altruism; Philanthropy; Intergenerational Transfers
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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