Conditions for the optimality of simple majority decisions in pairwise choice situations
type: Item
instance of: scholarly article
title: Conditions for the optimality of simple majority decisions in pairwise choice situations
zbMATH Open document ID: 0603.90011
DOI: 10.1007/BF00127194
author: Mark Gradstein
published in: Theory and Decision
publication date: 1986-01-01T00:00:00Z
review text: Recently it has been proved in a number of studies, that, under a proper set of assumptions, the optimal group decision rule in pairwise choice situations is a weighted majority rule, with weights that are proportional to the logarithms of the decision makers' odds of choosing the correct alternative. The purpose of the present note is to specify the necessary and sufficient conditions for this rule to coincide with the simple majority rule, and with restricted simple majority rules (which are defined as rules of simple majority, based on some subset of the most competent group members). These conditions are formulated in terms of inequalities between the group members' weights, thereby permitting easy verification of the optimality of the above mentioned rules.
Mathematics Subject Classification ID: 91B14
Mathematics Subject Classification ID: 91B10
zbMATH DE Number: 3974646
zbMATH Keywords: optimal group decision rule
zbMATH Keywords: pairwise choice situations
zbMATH Keywords: weighted majority rule
zbMATH Keywords: simple majority rule
MaRDI profile type: Publication
cites work: Thirteen theorems in search of the truth
cites work: Optimal Decision Rules in Uncertain Dichotomous Choice Situations
cites work: A general theorem and eight corollaries in search of correct decision
full work available at URL: https://doi.org/10.1007/bf00127194
OpenAlex ID: W2057125458
description: scientific article; zbMATH DE number 3974646