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The Single-Peaked Domain Revisited: A Simple Global Characterization

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  • Puppe, Clemens

Abstract

It is proved that, among all restricted preference domains that guarantee consistency (i.e. transitivity) of pairwise majority voting, the single-peaked domain is the only minimally rich and connected domain that contains two completely reversed strict preference orders.This result has a number of corollaries, among other things it implies that a single-crossing (‘order-restricted’) domain can be minimally rich only if it is a subdomain of a single-peaked domain.

Suggested Citation

  • Puppe, Clemens, 2017. "The Single-Peaked Domain Revisited: A Simple Global Characterization," VfS Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168068, Verein für Socialpolitik / German Economic Association.
    • Handle: RePEc:zbw:vfsc17:168068
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    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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