Continuous representation of Von Neumann-Morgenstern preferences

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2 Citations (Scopus)

Abstract

This paper considers a continuous representation of preference relations satisfying Grandmont's (1972) Expected Utility Hypothesis. We equip the preferences with the topology of closed convergence, then we show the existence of a jointly continuous expected utility function and consider its uniqueness. Furthermore, we construct an embedding map of the preferences into the set of expected utility functions.

Original languageEnglish
Pages (from-to)323-340
Number of pages18
JournalJournal of Mathematical Economics
Volume19
Issue number4
DOIs
Publication statusPublished - 1990
Externally publishedYes

ASJC Scopus subject areas

  • Economics and Econometrics
  • Applied Mathematics

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