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Majority Judgment and Strategy-Proofness

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  • Stefano Vannucci

Abstract

Majority judgment as recently formulated and advo- cated by Balinski and Laraki in their in?uential monograph (Ma- jority Judgment (2010)) is a method to aggregate pro?les of judg- ments which are expressed in a common language consisting of a bounded linearly ordered set of grades. It is shown that major- ity judgment is strategy-proof but not coalitionally strategy-proof on a very comprehensive class of rich single peaked preference do- mains. The proof relies on the key observation that a common bounded linear order of grades makes the set of gradings a prod- uct of bounded chains, which is a special instance of a bounded distributive lattice. As a by-product, we also obtain a character- ization of majority judgment with an odd number of agents by anonymity, bi-idempotence and strategy-proofness on rich single peaked domains.

Suggested Citation

  • Stefano Vannucci, 2016. "Majority Judgment and Strategy-Proofness," Department of Economics University of Siena 730, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:730
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    References listed on IDEAS

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    More about this item

    Keywords

    Strategy-proofness; bounded distributive lattice; single peakedness; majority rule; majority judgment;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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