Plurality, Borda Count and Preference Polarization

Sunanda Roy, Kuan Chuen Wu and Abhijit Chandra

ISU General Staff Papers from Iowa State University, Department of Economics

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.

Date: 2021-02-19
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