Power in voting rules with abstention: an axiomatization of a two components power index

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• 作者：Josep Freixas ; Roberto Lucchetti
• 关键词：Decision making process ; Voting systems in democratic organizations ; Abstention ; Power ; Axioms
• 刊名：Annals of Operations Research
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：244
• 期：2
• 页码：455-474
• 全文大小：520 KB
• 刊物类别：Business and Economics
• 刊物主题：Economics
  Operation Research and Decision Theory
  Combinatorics
  Theory of Computation
  
• 出版者：Springer Netherlands
• ISSN：1572-9338
• 卷排序：244

文摘

In order to study voting situations when voters can also abstain and the output is binary, i.e., either approval or rejection, a new extended model of voting rule was defined. Accordingly, indices of power, in particular Banzhaf’s index, were considered. In this paper we argue that in this context a power index should be a pair of real numbers, since this better highlights the power of a voter in two different cases, i.e., her being crucial when switching from being in favor to abstain, and from abstain to be contrary. We also provide an axiomatization for both indices, and from this a characterization as well of the standard Banzhaf index (the sum of the former two) is obtained. Some examples are provided to show how the indices behave.