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Probabilities of election outcomes with two parameters: The relative impact of unifying and polarizing candidates

Listed author(s):
  • William Gehrlein


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    Consider an election on three candidates for n voters with complete and transitive preference rankings on the candidates. Let k (r) denote the minimum total number of last (middle) position rankings for each of the three candidates. If k is close to zero, some candidate is seldom disliked and is a unifying candidate. If r is close to zero, some candidate is always either liked or disliked and is a polarizing candidate. A procedure is developed to obtain representations for conditional probabilities of election outcomes, when parameters like k or r are specified. Representations are obtained for the conditional probability that a pairwise majority rule winner, or PMRW, exists, given k and given r. Results show significant differences in the impact that unifying and polarizing candidates have on the probability that a PMRW exists. Copyright Springer-Verlag Berlin/Heidelberg 2005

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    Article provided by Springer & Society for Economic Design in its journal Review of Economic Design.

    Volume (Year): 9 (2005)
    Issue (Month): 4 (December)
    Pages: 317-336

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    Handle: RePEc:spr:reecde:v:9:y:2005:i:4:p:317-336
    DOI: 10.1007/s10058-005-0132-z
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