Utility representation of an incomplete and nontransitive preference relation

DOI10.1016/j.jet.2016.07.002zbMath1371.91060OpenAlexW2509100468MaRDI QIDQ337798

Hiroki Nishimura, Efe A. Ok

Publication date: 3 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.jet.2016.07.002

zbMATH Keywords

continuous utilityDebreu's theoremmulti-utility representationnontransitive binary relations

Mathematics Subject Classification ID

Utility theory (91B16) Individual preferences (91B08)

Related Items (6)

Partial knowledge restrictions on the two-stage threshold model of choice ⋮ A note on numerical representations of nested system of strict partial orders ⋮ Continuity and Continuous Multi-utility Representations of Nontotal Preorders: Some Considerations Concerning Restrictiveness ⋮ Multi-utility representations of incomplete preferences induced by set-valued risk measures ⋮ Incomplete preferences, willingness to pay, and willingness to accept ⋮ Extension of Monotonic Functions and Representation of Preferences

Cites Work

• Continuous multi-utility representations of preorders
• Justifiable preferences
• Utility representation of an incomplete preference relation
• Similarity and decision-making under risk (Is there a utility theory resolution to the Allais paradox?)
• Utility representations for partial orders
• On the multi-utility representation of preference relations
• Indifference or indecisiveness? Choice-theoretic foundations of incomplete preferences
• A theory of (relative) discounting
• Semiorders and a Theory of Utility Discrimination
• Lipschitz pre-orders and Lipschitz utility functions
• The Nontransitive Consumer
• Rationalization
• A Canonical Model of Choice with Initial Endowments
• Utility Theory without the Completeness Axiom
• Topologies on Spaces of Subsets

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