Majority judgment and strategy-proofness: a characterization

Stefano Vannucci ()
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Stefano Vannucci: University of Siena

International Journal of Game Theory, 2019, vol. 48, issue 3, No 7, 863-886

Abstract: Abstract Majority judgment as recently formulated and advocated by Balinski and Laraki in their influential monograph (Majority Judgment (2010)) is a method to aggregate profiles of judgments which are expressed in a common language consisting of a linearly ordered, and typically bounded, set of grades. It is shown that majority judgment thus defined is strategy-proof but not coalitionally strategy-proof on a very comprehensive class of rich single peaked preference domains. The proof relies on the key observation that a common bounded linear order of grades makes the set of gradings a product of bounded chains, which is a special instance of a bounded distributive lattice. Relying on the foregoing result, this paper also provides a simple characterization of majority judgment with an odd number of agents by anonymity, bi-idempotence and strategy-proofness on rich single peaked domains.

Keywords: Strategy-proofness; Bounded distributive lattice; Single peakedness; Majority rule; Majority judgment; 05C05; 52021; 52037 (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00182-019-00666-4

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