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Constructing Scalar-Valued Objective Functions

Proceedings of the Third International Conference on Econometric Decision Models: Constructing Scalar-Valued Objective Functions University of Hagen Held in Katholische Akademie Schwerte September 5–8, 1995

  • Conference proceedings
  • © 1997

Overview

Editors:
  1. Andranik Tangian

    1. Fachbereich Wirtschaftswissenschaft, Fernuniversität Hagen, Hagen, Germany

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  2. Josef Gruber

    1. Fachbereich Wirtschaftswissenschaft, Fernuniversität Hagen, Hagen, Germany

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 453)

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Table of contents (18 papers)

  1. Front Matter

    Pages I-VIII
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  3. Keynote address

    1. Front Matter

      Pages 23-23
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    2. On the Preferences Characterization of Additively Separable Utility

      • Gerard Debreu
      Pages 25-38

  4. Axiomatic foundations

    1. Front Matter

      Pages 39-39
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    2. An Axiomatic Justification of Scalar Optimization

      • Andrey V. Malishevski
      Pages 41-52

    3. Rational Choice Under Convex Conditions

      • Vladimir I. Danilov, Alexander I. Sotskov
      Pages 53-63

    4. Additive Utility Without Solvability on All Components

      • Christophe Gonzales
      Pages 64-90

  5. Collective objective functions

    1. Front Matter

      Pages 91-91
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    2. Intransitive Preference Relations and Preference Differences

      • Jürgen Bartnick
      Pages 93-99

    3. Constructing an Objective Function for Aggregating Incomplete Preferences

      • Pavel Yu. Chebotarev, Elena Shamis
      Pages 100-124

    4. Lexicographical Maxmin Core Solutions for Cooperative Games

      • Elena Yanovskaya
      Pages 125-136

    5. Game Theoretic Axioms for Utilities with Random Choices

      • Victoria Kreps
      Pages 137-149
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Keywords

About this book

For several decades, scholars have developed methods for solving optimization problems which emerge in economics, econometrics, operations research, and other disciplines. A considerable effort has been made to construct equations from which constraints can be derived, but surprisingly little has been done to construct the other part of optimization models: the scalar-valued objective function, the constrained maximum or minimum of which gives the optimal solution. The given volume is intended to attract attention to the problem, to present the major achievements in the field and to stimulate further research and teaching.

Editors and Affiliations

  • Fachbereich Wirtschaftswissenschaft, Fernuniversität Hagen, Hagen, Germany

    Andranik Tangian, Josef Gruber

Bibliographic Information

  • Book Title: Constructing Scalar-Valued Objective Functions

  • Book Subtitle: Proceedings of the Third International Conference on Econometric Decision Models: Constructing Scalar-Valued Objective Functions University of Hagen Held in Katholische Akademie Schwerte September 5–8, 1995

  • Editors: Andranik Tangian, Josef Gruber

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-48773-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-63061-6Published: 25 August 1997

  • eBook ISBN: 978-3-642-48773-6Published: 06 December 2012

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: VIII, 298

  • Topics: Economic Theory/Quantitative Economics/Mathematical Methods, Operations Research/Decision Theory

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