On some axioms for ranking sets of alternatives

DOI10.1016/0022-0531(84)90092-9zbMath0548.90001OpenAlexW2002738221WikidataQ114685257 ScholiaQ114685257MaRDI QIDQ799450

Prasanta K. Pattanaik, Salvador Barberá, Charles Richard Barrett

Publication date: 1984

Published in: Journal of Economic Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0531(84)90092-9

zbMATH Keywords

choice under uncertaintyextension of order to power setsranking sets of alternatives

Mathematics Subject Classification ID

Partial orders, general (06A06) Individual preferences (91B08) Social choice (91B14)

Related Items (25)

Solidarity for public goods under single-peaked preferences: characterizing target set correspondences ⋮ COALITION FORMATION GAMES: A SURVEY ⋮ Power set extensions of dichotomous preferences ⋮ On the manipulation of social choice correspondences ⋮ On the extension of preferences over a set to the power set: An axiomatic characterization of a quasi-ordering ⋮ On the rejectability of the subjective expected utility theory ⋮ Preference extension rules for ranking sets of alternatives with a fixed cardinality ⋮ On opportunity inequality measurement ⋮ Essential alternatives and set-dependent preferences -- an axiomatic approach. (With corrigendum by N. Houy) ⋮ Coincidence of Condorcet committees ⋮ Rationality, external norms, and the epistemic value of menus ⋮ How to deal with partially analyzable acts? ⋮ Min-max decision rules for choice under complete uncertainty: axiomatic characterizations for preferences over utility intervals ⋮ Uncertainty with ordinal likelihood information ⋮ Welfare, preference and freedom ⋮ Ranking opportunity sets in a simple intertemporal framework ⋮ Salvador Barberà ⋮ Sequentially consistent rules of choice under complete uncertainty ⋮ Prakash and Sertel's theory of non-cooperative equilibria in social systems --- twenty years later ⋮ Uncertainty aversion in nonprobabilistic decision models ⋮ Opportunity sets and uncertain consequences ⋮ A COOPERATIVE APPROACH TO QUEUE ALLOCATION OF INDIVISIBLE OBJECTS ⋮ Using the Borda rule for ranking sets of objects ⋮ Median-based extensions of an ordering over a set to the power set: An axiomatic characterization ⋮ Ranking sets of interacting objects via semivalues

Cites Work

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• Extending an order on a set to the power set: Some remarks on Kannai and Peleg's approach
• Comment on the Kannai-Peleg impossibility theorem for extending orders
• Plausibility orderings and social choice
• Manipulation of social choice functions
• Strategy-Proofness and Social Choice Functions without Singlevaluedness
• The Manipulation of Social Choice Mechanisms that Do Not Leave "Too Much" to Chance

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