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Elementary non-Archimedean utility theory

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Publication:1042327
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DOI10.1016/j.mathsocsci.2008.12.009zbMath1176.91014OpenAlexW1993214092WikidataQ57542996 ScholiaQ57542996MaRDI QIDQ1042327

Frederik S. Herzberg

Publication date: 7 December 2009

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://pub.uni-bielefeld.de/record/1633653


zbMATH Keywords

non-Archimedean fieldhyperrealsordered vector spacediscontinuous preferencesvon Neumann-Morgenstern utility


Mathematics Subject Classification ID

Utility theory for games (91A30)


Related Items

Additive representation of separable preferences over infinite products ⋮ Nonstandard utilities for lexicographically decomposable orderings



Cites Work

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  • Nonstandard nontransitive utility on mixture sets
  • Non-standard concave utility functions
  • Existence of a utility in infinite dimensional partially ordered spaces
  • On the foundations of game theory: the case of non-archimedean utilities
  • Utility Theory without the Completeness Axiom
  • Non-standard analysis
  • Expected qualitative utility maximization
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