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Numerical Representation of Incomplete and Nontransitive Preferences and Indifferences on a Countable Set

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Author Info
Voorneveld, Mark (Tilburg University)

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Abstract

This note considers preference structures over countable sets which allow incomparable outcomes and nontransitive preferences and indifferences. Necessary and sufficient conditions are provided under which such a preference structure can be represented by means of utility function and a threshold function.

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Publisher Info
Paper provided by Stockholm University, Department of Economics in its series Research Papers in Economics with number 1999:6.

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Length: 7 pages
Date of creation: 13 Sep 1999
Date of revision:
Handle: RePEc:hhs:sunrpe:1999_0006

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Postal: Department of Economics, Stockholm, S-106 91 Stockholm, Sweden
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Related research
Keywords: Incomplete preferences; nontransitive preferences; threshold functions; utility theory;

Find related papers by JEL classification:
D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Fishburn, Peter C, 1991. " Nontransitive Preferences in Decision Theory," Journal of Risk and Uncertainty, Springer, vol. 4(2), pages 113-34, April.
  2. Bridges, Douglas S., 1983. "Numerical representation of intransitive preferences on a countable set," Journal of Economic Theory, Elsevier, vol. 30(1), pages 213-217, June. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Paola Manzini & Marco Mariotti, 2008. "On the Representation of Incomplete Preferences Over Risky Alternatives," Theory and Decision, Springer, vol. 65(4), pages 303-323, December. [Downloadable!] (restricted)
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