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A Universal Formula for Continuous Utility

Knoblauch, Vicki - Department of Economics, University of Connecticut - 2007

A single formula assigns a continuous utility function to every representable preference relation.

Persistent link: https://www.econbiz.de/10005839002

Knoblauch, Vicki - Department of Economics, University of Connecticut - 2003

Two forms of continuity are defined for Pareto representations of preferences. They are designated continuity and … coordinate continuity. Characterizations are given of those Pareto representable preferences that are continuously representable …

Persistent link: https://www.econbiz.de/10005839013

Elections and the Representation of Preferences over Infinite Sets

Knoblauch, Vicki - Department of Economics, Royal Holloway University of London - 1999

Voting theory has always focused on mechanism design, but this paper shows that voting theory is also a useful tool in the field of preference representation. Both the lexicographic order on n-dimensional Euclidean space and the threshold of detectable difference relation are pairwise majority...

Persistent link: https://www.econbiz.de/10005489941

Characterizing Paretian Preferences

Knoblauch, Vicki - Department of Economics, University of Connecticut - 2003

alternatives. A characterization of finite type provides an easy test of whether preferences over a large set of alternatives …

Persistent link: https://www.econbiz.de/10005097449

Binary Relations: Finite Characterizations and Computational Complexity

Knoblauch, Vicki - In: Theory and Decision 65 (2008) 1, pp. 27-44

Persistent link: https://www.econbiz.de/10005678361

Continuously Representable Paretian Quasi-Orders

Knoblauch, Vicki - In: Theory and Decision 60 (2006) 1, pp. 1-16

Two forms of continuity are defined for Pareto representations of preferences. They are designated â€œcontinuityâ€\x9D … and â€œcoordinate continuity.â€\x9D Characterizations are given of those Pareto representable preferences that are …

Persistent link: https://www.econbiz.de/10005709881

Continuous Lexicographic Preferences

Knoblauch, Vicki - Department of Economics, University of Connecticut - 2003

Under what conditions are lexicographically representable preferences continuously representable? This question is …

Persistent link: https://www.econbiz.de/10005626641

Finite Characterizations and Paretian Preferences

Knoblauch, Vicki - Department of Economics, University of Connecticut - 2005

A characterization of a property of binary relations is of finite type if it is stated in terms of ordered T-tuples of alternatives for some positive integer T. A characterization of finite type can be used to determine in polynomial time whether a binary relation over a finite set has the...

Persistent link: https://www.econbiz.de/10005626643

Preference Representation via Pareto Dominance

Knoblauch, Vicki - Department of Economics, Royal Holloway University of London - 1998

Necessary and sufficient conditions are given for the existence of an Order isomorphism from a given preference relation to Euclidean n-dimensional space ordered by Pareto dominance. This result provides representation for some preference relations not representable by utility functions. It also...

Persistent link: https://www.econbiz.de/10005677875