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Plurality, Borda Count and Preference Polarization

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  • Roy, Sunanda
  • Wu, Kuan Chuen
  • Chandra, Abhijit

Abstract

The paper uses the profile decomposition method which decomposes agiven profile of voters into hypothetical electorates, to explaindisagreement in the induced social rank orders of the candidates underplurality and the Borda count. The family of component profiles responsiblefor such disagreement are shown to possess a common, interesting feature: Ineach such profile, a specific candidate is first and last ranked by an equalnumber of voters. A significant weight of such a profile in the decompositionindicates that the profile of real voters are polarized around the specificcandidate in question. The paper discusses a computationally simpler way toobtain the weights of all such profiles, for an arbitrary number ofcandidates without resorting to complete profile decomposition of an!-dimensional vector. The results are potentially useful to measurepreference polarization in a field of many candidates.

Suggested Citation

  • Roy, Sunanda & Wu, Kuan Chuen & Chandra, Abhijit, 2021. "Plurality, Borda Count and Preference Polarization," ISU General Staff Papers 202102190800001122, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genstf:202102190800001122
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