caa a22 4500 606168605 CHVBK 20210128100707.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s11127-015-0296-1 doi (NATIONALLICENCE)springer-10.1007/s11127-015-0296-1 Influence versus utility in the evaluation of voting rules: a new look at the Penrose formula [Elektronische Daten] [Michel Le Breton, Karine Van der Straeten] 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. Springer Science+Business Media New York, 2015 Power measurement nationallicence Voting nationallicence Random electorates nationallicence Le Breton Michel Toulouse School of Economics (TSE) & Institut Universitaire de France, 2, allée de Brienne, 31015, Toulouse Cedex 6, France aut Van der Straeten Karine Toulouse School of Economics (TSE), CNRS & Institute for Advanced Study in Toulouse (IAST), 2, allée de Brienne, 31015, Toulouse Cedex 6, France aut Public Choice Springer US; http://www.springer-ny.com 165/1-2(2015-10-01), 103-122 0048-5829 165:1-2<103 2015 165 11127 https://doi.org/10.1007/s11127-015-0296-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s11127-015-0296-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Le Breton Michel Toulouse School of Economics (TSE) & Institut Universitaire de France, 2, allée de Brienne, 31015, Toulouse Cedex 6, France aut NATIONALLICENCE 700 1- Van der Straeten Karine Toulouse School of Economics (TSE), CNRS & Institute for Advanced Study in Toulouse (IAST), 2, allée de Brienne, 31015, Toulouse Cedex 6, France aut NATIONALLICENCE 773 0- Public Choice Springer US; http://www.springer-ny.com 165/1-2(2015-10-01), 103-122 0048-5829 165:1-2<103 2015 165 11127