The capacity of a committee
type: Item
instance of: scholarly article
title: The capacity of a committee
zbMATH Open document ID: 0606.90010
DOI: 10.1016/0165-4896(86)90033-8
author: Ron Holzman
published in: Mathematical Social Sciences
publication date: 1986-01-01T00:00:00Z
review text: It is known that under moderate requirements of strategy-proofness, a committee is in general incapable of choosing by vote if the set of alternatives is too big. This led \textit{B. Peleg} [Int. J. Game Theory 7, 81-94 (1978; Zbl 0391.90007)] to introduce the notion of the capacity of a committee. It is shown here how this number is determined by the combinatorial structure of the committee. The general criteria are quite complex, but they are somewhat simplified by a homogeneity assumption, and they reduce to a simple arithmetical formula for symmetric committees.
Mathematics Subject Classification ID: 91B14
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 3980839
zbMATH Keywords: simple game
zbMATH Keywords: strong representation
zbMATH Keywords: strategy-proofness
zbMATH Keywords: capacity of a committee
zbMATH Keywords: homogeneity assumption
MaRDI profile type: Publication
full work available at URL: 0165-4896(86)90033-8
OpenAlex ID: W1987728140
cites work: On Nicely Consistent Voting Systems
cites work: On strong representations of games by social choice functions
cites work: Representation of characteristic function games by social choice functions
cites work: The structure of exactly strongly consistent social choice functions
cites work: Consistent Voting Systems
cites work: Representations of simple games by social choice functions
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description: scientific article; zbMATH DE number 3980839