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

Author

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  • Voorneveld, Mark

    (Tilburg University)

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.

Suggested Citation

  • Voorneveld, Mark, 1999. "Numerical Representation of Incomplete and Nontransitive Preferences and Indifferences on a Countable Set," Research Papers in Economics 1999:6, Stockholm University, Department of Economics.
    • Handle: RePEc:hhs:sunrpe:1999_0006
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    File URL: http://www2.ne.su.se/paper/wp99_06.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. Fishburn, Peter C, 1991. "Nontransitive Preferences in Decision Theory," Journal of Risk and Uncertainty, Springer, vol. 4(2), pages 113-134, April.
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    Cited by:

    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.

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    More about this item

    Keywords

    Incomplete preferences; nontransitive preferences; threshold functions; utility theory;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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