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Implementing the Median

Author

Listed:
  • Matías Núñez

    (Universitè Paris-Dauphine, PSL Research University, CNRS, Lamsade)

  • Carlos Pimienta

    (School of Economics, UNSW Business School)

  • Dimitrios Xefteris

    (University of Cyprus, Department of Economics)

Abstract

In the single-peaked domain, the median rules (Moulin, 1980) are of special interest. They are, essentially, the unique strategy-proof rules as well as the unique Nash implementable ones under complete information. We show that, under mild assumptions on admissible priors, they are also Bayes-Nash implementable by the means of ``detail-free'' mechanisms. That is, mechanisms that do not rely on the mechanism designer having detailed information about the priors that the agents hold. Furthermore, detail-free implementation of the median rules does not clash with truthful behavior. The provided mechanism is such that, in every equilibrium, all agents reveal their true peak with probability one.

Suggested Citation

  • Matías Núñez & Carlos Pimienta & Dimitrios Xefteris, 2018. "Implementing the Median," Discussion Papers 2018-11, School of Economics, The University of New South Wales.
    • Handle: RePEc:swe:wpaper:2018-11
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    File URL: http://research.economics.unsw.edu.au/RePEc/papers/2018-11.pdf
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    References listed on IDEAS

    as
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    7. Núñez, Matías & Xefteris, Dimitrios, 2017. "Implementation via approval mechanisms," Journal of Economic Theory, Elsevier, vol. 170(C), pages 169-181.
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    More about this item

    Keywords

    Nash Implementation; Bayesian Implementation; Robust Implementation; Detail-free; Median rule; Strategy-proofness; Single-Peaked Preferences; Condorcet Winner.;
    All these keywords.

    JEL classification:

    • C9 - Mathematical and Quantitative Methods - - Design of Experiments
    • 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
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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