Arrow's theorem: Unusual domains and extended codomains

DOI10.1016/0165-4896(82)90008-7zbMath0489.90012OpenAlexW2069051901MaRDI QIDQ1167044

Jean-Pierre Barthelemy

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0165-4896(82)90008-7

zbMATH Keywords

partial ordersArrow's impossibility theoremweak Pareto principleindependence conditionabsolute dictatorshipsabsolute oligarchiesextended codomainsgeneral ordinal caseunusual domains

Mathematics Subject Classification ID

Social choice (91B14)

Related Items (6)

Arrovian social choice with psychological thresholds ⋮ The median procedure in the semilattice of orders ⋮ Joint desirability foundations of social choice and opinion pooling ⋮ A Borda count for partially ordered ballots ⋮ On an independence condition for consensus \(n\)-trees ⋮ Removal independent consensus methods for closed \(\beta \)-systems of sets

Cites Work

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• Representations of binary decision rules by generalized decisiveness structures
• Semiorders and collective choice
• Collective rationality and dictatorship: The scope of the Arrow theorem
• Description of some relations on the set of real-line intervals
• A Consistent Extension of Condorcet’s Election Principle
• An Axiomatic Theory of Tournament Aggregation
• Quasi-Transitivity, Rational Choice and Collective Decisions
• General Possibility Theorems for Group Decisions

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