Mathematical Topics on Representations of Ordered Structures and Utility Theory
Essays in Honor of Professor Ghanshyam B. Mehta
Editors: Bosi, G., Campión, M.J., Candeal, J.C., Indurain, E. (Eds.)
Free Preview- Presents cutting-edge findings concerning the representability of ordered structures
- Describes key examples for applications in economics and social sciences
- Offers a multidisciplinary perspective on utility theory
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- About this book
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This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.
- Table of contents (19 chapters)
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Topology and Preference Relations
Pages 3-21
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The Existence and the Non-existence of Utility Functions in Order-Theoretic, Algebraic and Topological Environments
Pages 23-45
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Open Questions in Utility Theory
Pages 47-81
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Representations of Interval Orders on Connected Separable Topological Spaces
Pages 85-108
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Searching for a Debreu’s Open Gap Lemma for Semiorders
Pages 109-128
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Table of contents (19 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Mathematical Topics on Representations of Ordered Structures and Utility Theory
- Book Subtitle
- Essays in Honor of Professor Ghanshyam B. Mehta
- Editors
-
- Gianni Bosi
- María J. Campión
- Juan C. Candeal
- Esteban Indurain
- Series Title
- Studies in Systems, Decision and Control
- Series Volume
- 263
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-34226-5
- DOI
- 10.1007/978-3-030-34226-5
- Hardcover ISBN
- 978-3-030-34225-8
- Softcover ISBN
- 978-3-030-34228-9
- Series ISSN
- 2198-4182
- Edition Number
- 1
- Number of Pages
- XXII, 368
- Number of Illustrations
- 43 b/w illustrations, 3 illustrations in colour
- Topics
