Research Papers in Economics, Department of Economics, Stockholm University
Numerical Representation of Incomplete and Nontransitive Preferences and Indifferences on a Countable Set
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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