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Non-Archimedean Utility Theory

My interest in non-Archimedean utility theory and the problems related to it was aroused by discussions which I have had with Professors Werner Leinfellner and Günter Menges. On the occasion of the Second Inter­ national Game Theory Workshop, Berkeley, 1970, which was sponsored by the National Scien...

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Bibliographic Details
Main Author: Skala, Heinz J.
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1975, 1975
Edition:1st ed. 1975
Series:Theory and Decision Library
Subjects:
Sociology / Methodology
Sociological Methods
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. Preference Orderings and Utility Theory
  • 1. Relational Systems
  • 2. Preference Relations
  • 3. Some Remarks on Utility Theory
  • 4. Linear Inequalities
  • II. Ordinal Utility
  • 1. Some Classical Representation Theorems
  • 2. Lexicographic Utility
  • 3. Utility Theories with Respect to n?-Sets
  • 4. Ultraproducts and Ultrapowers
  • 5. Approximating an r*-Valued Utility Function by a Real Valued Function
  • 6. Non-Standard Utility Functions Always Exist
  • 7. Utility Functions for Partial Orderings
  • III. On Numerical Relational Systems
  • 1. First-Order Languages
  • 2. Some Preliminary Considerations
  • 3. Universal and Homogeneous Relational Systems
  • 4. Saturated Relational Systems
  • IV. Utility Theories for More Structured Empirical Data
  • 1. Some Remarks
  • 2. The Empirical Status of Axioms
  • 3. Utility Theories which are Axiomatizable in an Ordinary First Order Language
  • 4. Extensive Utility
  • 5. Conjoint Measurement of Utilities
  • 6. On Certain Mean Systems
  • V. On Utility Spaces, The Theory of Games and the Realization of Comparative Probability Relations
  • 1. A Generalization of the Von Neumann/Morgenstern Utility Theory
  • 2. Non-Standard Utilities in Game Theory
  • 3. Some Aspects of the Realization of Comparative Probability Relations
  • Appendix I. Ordinal and Cardinal Numbers
  • Appendix II. Some Basic Facts about Filters and Ultrafilters
  • Index of Names
  • Index of Subjects

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