Social Choice and Welfare

, Volume 44, Issue 4, pp 889–909 | Cite as

On stable outcomes of approval, plurality, and negative plurality games

  • Francesco De Sinopoli
  • Giovanna Iannantuoni
  • Carlos Pimienta
Article

Abstract

We prove two results on the generic determinacy of Nash equilibrium in voting games. The first one is for negative plurality games. The second one is for approval games under the condition that the number of candidates is equal to three. These results are combined with the analogous one obtained in De Sinopoli (Games Econ Behav 34:270–286, 2001) for plurality rule to show that, for generic utilities, three of the most well-known scoring rules, plurality, negative plurality and approval, induce finite sets of equilibrium outcomes in their corresponding derived games—at least when the number of candidates is equal to three. This is a necessary requirement for the development of a systematic comparison amongst these three voting rules and a useful aid to compute the stable sets of equilibria Mertens (Math Oper Res 14:575–625, 1989) of the induced voting games. To conclude, we provide some examples of voting environments with three candidates where we carry out this comparison.

JEL Classification

C72 D72 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Francesco De Sinopoli
    • 1
  • Giovanna Iannantuoni
    • 2
  • Carlos Pimienta
    • 3
  1. 1.Department of EconomicsUniversity of VeronaVeronaItaly
  2. 2.Department of EconomicsUniversity of Milano-BicoccaMilanItaly
  3. 3.School of EconomicsThe University of New South WalesSydneyAustralia

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