Scandinavian Working Papers in Economics
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Department of Economics, Stockholm University Research Papers in Economics, Department of Economics, Stockholm University

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

Mark Voorneveld

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; (follow links to similar papers)

JEL-Codes: D11; (follow links to similar papers)

7 pages, September 13, 1999

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