Gerhard Herden / Norbert Knoche / Christian Seidl / Walter Trockel (eds.)

Mathematical Utility Theory

Utility Functions, Models and Applications in the Social Sciences

• Broschiertes Buch

Produktbeschreibung

Main description:
This proceedings volume of an international conference which took place in Essen in October 1997 brings together economists, mathematicians, and psychologists. Their contributions represent new research in the field of mathematical utility theory with an emphasis on its applications in the social sciences.
Readers of this volume can inform themselves about novel results in mathematical utility theory and their significance for the social sciences. The contributions cover a spectrum of fields from topological methods in utility theory to the application of experimental methods to utility theory.

Table of contents:
Foundations of Mathematical Utility Theory: D. S. Bridges, Constructive Methods in Mathematical Economics; M. Droste, Uniqueness of Semicontinuous Ordinal Utility Functions; M. Estévez, C. Hervés, A. Verdejo, Numerical Representation of Countably Bounded Preferences.- Topological and Algebraic Aspects of Mathematical Utility Theory: J. C. Candeal, J. R. De Miguel, E. Induráin, Existence of Additive and Continuous Utility Functions on Ordered Semigroups; M. Estévez, C. Hervés, A. Verdejo, Topologies on the Space of Economic Agents; N. Schofield, The Heart and the Uncovered Set.- Choice Models, Random Utility Models and Decision Theory: G. Herden, On an Arrow-Type Theorem in Ordinal Data Analysis; N. Knoche: On Some Interrelations between Choice and Ranking Probabilities.- Utility Models in the Social Sciences: W. Trockel, Rationalizability of the Nash Bargaining Solution; U. Schmidt, Moral Hazard and First-Order Risk Aversion; R. D. Luce, Binary Gambles of a Gain and a Loss: An Understudied Domain; C. Seidl, S. Traub, Biases in the Assessment of von Neumann-Morgenstern Utility Functions; J. S. Chipman, An Application of Integrability and Duality Theory to the Classical Transfer Problem in International Trade.

Produktdetails

• Verlag: Springer Austria
• Englisch
• ISBN-13: 9783211832233
• ISBN-10: 3211832238
• Artikelnr.: 09206318

Inhaltsangabe

Foundations of Mathematical Utility Theory:
... Douglas S. Bridges, Constructive Methods in Mathematical Economics
... Manfred Droste, Uniqueness of Semicontinuous Ordinal Utility Functions
... Margarita Estévez, Carlos Hervés, Amelia Verdejo, Numerical Representation of Countably Bounded Preferences
- Topological and Algebraic Aspects of Mathematical Utility Theory:
... Juan Carlos Candeal, Juan Ramón de Miguel, Esteban Induráin, Existence of Additive and Continuous Utility Functions on Ordered Semigroups
... Margarita Estévez, Carlos Hervés, Amelia Verdejo, Topologies on the Space of Economic Agents
... Norman Schofield, The Heart and the Uncovered Set
- Choice Models, Random Utility Models and Decision Theory:
... Gerhard Herden, On Consistent Rank Orderings and a New Proof of an Arrow-Type Theorem
... Norbert Knoche: On Some Interrelations between Choice and Ranking Probabilities
- Utility Models in the Social Sciences:
... Walter Trockel, Rationalizability of the Nash Bargaining Solution
... Ulrich Schmidt, Moral Hazard and First-Order Risk Aversion
... R. Duncan Luce, Binary Gambles of a Gain and a Loss: An Understudied Domain
... Christian Seidl, Stefan Traub, Biases in the Assessment of von Neumann-Morgenstern Utility Functions
... John S. Chipman, An Application of Integrability and Duality Theory to the Classical Transfer Problem in International Trade.