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Acyclic domains of linear orders: a survey

Author

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  • Bernard Monjardet

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

Among the many significant contributions of Fishburn to social choice theory some have borne on what he has called «acyclic sets», i.e. these sets of linear orders where majority rule applies without «Condorcet effect» (majority relation never has cycles). Search for large such domains is a fascinating topic. I review the works in this field and in particular a recent one allowing to show the connections between some of them unrelated up to now.

Suggested Citation

  • Bernard Monjardet, 2007. "Acyclic domains of linear orders: a survey," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00130205, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00130205
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00130205v2
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    JEL classification:

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

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