Scandinavian Working Papers in Economics

Research Papers in Economics,
Stockholm University, Department of Economics

No 1999:6: Numerical Representation of Incomplete and Nontransitive Preferences and Indifferences on a Countable Set

Mark Voorneveld
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Mark Voorneveld: Tilburg University, Postal: PO Box 90153, 5000 LE Tilburg, The Netherlands

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.

Keywords: Incomplete preferences; nontransitive preferences; threshold functions; utility theory

JEL-codes: D11

7 pages, September 13, 1999

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