A uniqueness result for extending orders; with application to collective choice as inconsistency resolution

DOI10.1016/0022-0531(84)90082-6zbMath0535.90004OpenAlexW2020312903MaRDI QIDQ791414

Ronald A. Heiner, Dennis J. Packard

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)90082-6

zbMATH Keywords

monotonicity propertyweak orderlexicographic orderingextension of a linear order to the power setGärdenfors principlepossibility theoremreflexive linear order

Mathematics Subject Classification ID

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

Related Items (10)

Extension of an order on a set to the power set: Some further observations ⋮ On the extension of preferences over a set to the power set: An axiomatic characterization of a quasi-ordering ⋮ Preference extension rules for ranking sets of alternatives with a fixed cardinality ⋮ Rationality, external norms, and the epistemic value of menus ⋮ Welfare, preference and freedom ⋮ Signed orders and power set extensions ⋮ Set choice problems with incomplete information about the preferences of the decision maker ⋮ Uncertainty aversion in nonprobabilistic decision models ⋮ Opportunity sets and uncertain consequences ⋮ Median-based extensions of an ordering over a set to the power set: An axiomatic characterization

Cites Work

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• A note on the extension of an order on a set to the power set
• Comment on the Kannai-Peleg impossibility theorem for extending orders
• More about plausibility orderings
• Preferences on subsets
• Plausibility orderings and social choice
• Inconsistency resolution and collective choice

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