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Voting Paradoxes and Their Probabilities

In: Voting Paradoxes and Group Coherence

Author

Listed:
  • William V. Gehrlein

    (University of Delaware)

  • Dominique Lepelley

    (Université de La Réunion)

Abstract

An extraordinary amount of research effort has been dedicated to the application of formal mathematical modeling techniques to the analysis of the question: “How should a group of individual decision-makers go about the process of selecting some alternative that can be viewed as being the best among a set of available alternatives?” Any group decision-making situation of this type can be viewed in the context of an election in which the available alternatives correspond to the candidates in the election, and where the alternative that is selected as the overall best corresponds to the winning candidate in the election. The individual decision-makers within the group are consequently acting as the voters in the election scenario.

Suggested Citation

  • William V. Gehrlein & Dominique Lepelley, 2011. "Voting Paradoxes and Their Probabilities," Studies in Choice and Welfare, in: Voting Paradoxes and Group Coherence, chapter 0, pages 1-47, Springer.
  • Handle: RePEc:spr:stcchp:978-3-642-03107-6_1
    DOI: 10.1007/978-3-642-03107-6_1
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    Cited by:

    1. Alexander Karpov, 2020. "The likelihood of single-peaked preferences under classic and new probability distribution assumptions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(4), pages 629-644, December.

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