Theory and Decision Library, An International Series in the Philosophy and Methodology of the Social and Behavioral Sciences, 9.
CONTENTS NOTE
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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.
SUMMARY OR ABSTRACT
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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 Gunter Menges.