Who Wins the Election?

Raymond Bisdorff

Chapter Chapter 7 in Algorithmic Decision Making with Python Resources, 2022, pp 83-96 from Springer

Abstract: Abstract This chapter is more specifically devoted to handling linear voting profiles and computing the winner of such election results. By following Condorcet’s recipe, we consider pairwise comparisons of election candidates and balance the number of times the first beats the second against the number of times the second beats the first. Thus we obtain the majority margins digraph, in fact a bipolar-valued digraph. When the voters express contradictory linear voting profiles one naturally observes cyclic social preferences without seeing any paradox in this situation. Finally we present a more politically realistic generator for random linear voting profiles which takes into account pre-election polls.

Date: 2022
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DOI: 10.1007/978-3-030-90928-4_7

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