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Spatial Models, Cognitive Metrics, and Majority Rule Equilibria

Bibliographic Data

ID6227600
AuthorsMichael Humphreys (0000-0001-7029-2326, Columbia University), Macartan Humphreys, Michael Laver (0000-0001-7515-9831)
Year2010
Volume40
Issue1
Pages11-30
Publication date2010-01-01
Open AccessYes
TypeARTICLE
VenueBritish Journal of Political Science (JOURNAL)
Journal identifiersISSN: 0007-1234 • E-ISSN: 1469-2112
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1017/s0007123409990263
OpenAlexW2043059238
LanguageEN
Citations received18
References cited42

Long-standing results demonstrate that, if policy choices are defined in spaces with more than one dimension, majority-rule equilibrium fails to exist for a general class of smooth preference profiles. This article shows that if agents perceive political similarity and difference in ‘city block’ terms, then the dimension-by-dimension median can be a majority-rule equilibrium even in spaces with an arbitrarily large number of dimensions and it provides necessary and sufficient conditions for the existence of such an equilibrium. This is important because city block preferences accord more closely with empirical research on human perception than do many smooth preferences. It implies that, if empirical research findings on human perceptions of similarity and difference extend also to perceptions ofpoliticalsimilarity and difference, then the possibility of equilibrium under majority rule re-emerges

Block (permutation group theory · Class (philosophy · Combinatorics · Dimension (graph theory · Econometrics · Economics · Mathematical economics · Perception · Political science · Politics · Preference · Pure mathematics · Similarity (geometry · Statistics · Artificial Intelligence · Computer Science · Electoral Systems and Political Participation · Experimental Behavioral Economics Studies · Game Theory and Voting Systems · Mathematics · Psychology

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Citations per year0.95
Citation span2007 - 2026 (20)
Highly citedNo

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