Removal independent consensus methods for closed \(\beta \)-systems of sets

DOI10.1016/j.mathsocsci.2008.12.004zbMath1176.91029OpenAlexW2054683385MaRDI QIDQ1042321

Gary D. Crown, Melvin F. Janowitz, Robert C. Powers

Publication date: 7 December 2009

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mathsocsci.2008.12.004

zbMATH Keywords

closed \(\beta \)-systems of setsconsensus methodsremoval independence

Mathematics Subject Classification ID

Voting theory (91B12)

Cites Work

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• Arrow's theorem: Unusual domains and extended codomains
• Arrovian aggregation models
• Set systems and dissimilarities
• Quasi-ultrametrics and their \(2\)-ball hypergraphs
• Pyramids and weak hierarchies in the ordinal model for clustering
• The \(k\)-weak hierarchical representations: An extension of the indexed closed weak hierarchies
• An extended formulation of Arrow's theorem for \(k\)-social welfare functions
• Stability conditions for consensus functions defined on \(n\)-trees
• Arrow's Theorem for closed weak hierarchies
• Dictatorial consensus functions on \(n\)-trees
• Permutation invariance
• Axiomatic Consensus Theory in Group Choice and Biomathematics

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