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 (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, 1989) of the induced voting games. To conclude, we provide some examples of voting environments with three candidates where we carry out this comparison

De Sinopoli, F., Iannantuoni, G., G., P. (2012). Scoring rules: A game-Theoretical Analysis [Working paper] [10.2139/ssrn.2144560].

Scoring rules: A game-Theoretical Analysis

IANNANTUONI, GIOVANNA;
2012

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 (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, 1989) of the induced voting games. To conclude, we provide some examples of voting environments with three candidates where we carry out this comparison
Working paper
approval voting, plurality voting, negative plurality, sophisticated voting, mertens stability
English
2012
1
23
https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2144560
UNSW Australian School of Business Research Paper N. 2012
De Sinopoli, F., Iannantuoni, G., G., P. (2012). Scoring rules: A game-Theoretical Analysis [Working paper] [10.2139/ssrn.2144560].
none
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/250312
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
Social impact