Influence versus utility in the evaluation of voting rules: a new look at the Penrose formula

Autor:	Karine Van der Straeten, Michel Le Breton
Rok vydání:	2015
Předmět:	Economics and Econometrics Sociology and Political Science Ranking Voting media_common.quotation_subject Probabilistic logic Economics Statistical model Divergence (statistics) Mathematical economics Preference (economics) Cardinal voting systems media_common
Zdroj:	Public Choice. 165:103-122
ISSN:	1573-7101 0048-5829
DOI:	10.1007/s11127-015-0296-1
Popis:	In this paper, we present a contribution to the analysis of the relationship between influence/power measurement and utility measurement, the two most popular social objective criteria used when evaluating voting mechanisms. For one particular probabilistic model describing the preferences of the electorate, the so-called impartial culture (IC) model used by Banzhaf, the Penrose formula shows that the two objectives coincide. The IC probabilistic model assumes that voter preferences are independent and neutral. In this article, we prove a general version of the Penrose formula, allowing for preference correlations and biases in the electorate. We use that formula to illustrate, for a spectrum of well-known probabilistic models, how the divergence between the two social objectives impacts the ranking and performances of the voting mechanisms.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fa66dd4f4ce2d4c944d244747334433c https://doi.org/10.1007/s11127-015-0296-1 Zobrazit plný text záznamu Full text from SpringerLink