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Acyclic domains of linear orders: a survey

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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 that Fishburn made to social choice theory some have focused on what he has called "acyclic sets", i.e. the sets of linear orders where majority rule applies without the "Condorcet effect" (majority relation never has cycles). The search for large domains of this type is a fascinating topic. I review the works in this field and in particular consider a recent one that allows to show the connections between some of them that have been unrelated up to now.

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  • Bernard Monjardet, 2009. "Acyclic domains of linear orders: a survey," Post-Print halshs-00198635, HAL.
    • Handle: RePEc:hal:journl:halshs-00198635
    DOI: 10.1007/978-3-540-79128-7_8
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00198635
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    References listed on IDEAS

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    1. B. Monjardet, 1978. "An Axiomatic Theory of Tournament Aggregation," Mathematics of Operations Research, INFORMS, vol. 3(4), pages 334-351, November.
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    JEL classification:

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

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