Información General

• Autores: Gianni Bosi (ed. lit.) , María Jesús Campión Arrastia (ed. lit.) , Juan Carlos Candeal Haro (ed. lit.) , Esteban Induráin Eraso (ed. lit.)
• Editores: Springer Suiza
• Año de publicación: 2020
• Colecciones: Studies in systems, decision and control, 263
• País: Suiza
• Idioma: inglés
• ISBN: 978-3-030-34225-8
• Texto completo no disponible (Saber más ...)

Resumen

• 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.

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Listado de artículos

• • General utility theory

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      Topology and preference relations

      Alan F. Beardon

      págs. 3-22

      
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      The existence and the non-existence of utility functions in order-theoretic, algebraic and topological environments

      Juan Carlos Candeal Haro

      págs. 23-45

      
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      Open Questions in Utility Theory

      María Jesús Campión Arrastia , Esteban Induráin Eraso

      págs. 47-81

      
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      Representations of Interval Orders on Connected Separable Topological Spaces

      Yann Rébillé

      págs. 85-108

      
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      Searching for a Debreu’s Open Gap Lemma for Semiorders

      Asier Estevan Mugertza

      págs. 109-128

      
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      A Note on Candeal and Induráin’s Semiorder Separability Condition

      Denis Bouyssou, Marc Pirlot

      págs. 129-141

      
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      Chain Representations of Nested Families of Biorders

      Denis Bouyssou, Jean-Paul Doignon

      págs. 143-169

      
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      A Note on Representable Group Topologies

      Cristina Chis, Hans-Peter A. Künzi, Manuel Sanchís López

      págs. 171-186

      
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      Preferences in Abstract Convex Structures

      Marta Cardin

      págs. 187-195

      
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      Strictly Monotonic Preferences

      Carlos Hervés Beloso , Paulo Klinger Monteiro

      págs. 197-209

      

  • Extensions of utility

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      Continuity and Continuous Multi-utility Representations of Nontotal Preorders: Some Considerations Concerning Restrictiveness

      Gianni Bosi , Magalì Zuanon

      págs. 213-236

      
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      Jointly Continuous Multi-utility Representations of Non-total Preorders

      Alessandro Caterino, Rita Ceppitelli, L'ubica Holá

      págs. 237-254

      
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      Subjective States Without the Completeness Axiom

      Asen Kochov

      págs. 255-266

      
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      Preference for Flexibility: A Continuous Representation in an Ordinal Setup

      Özgür Evren

      págs. 267-280

      
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      The Arrow-Hahn Construction in a Locally Compact Metric Space

      Douglas S. Bridges

      págs. 281-299

      
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      Continuous Utility Representation of Fuzzy Preferences

      Vicki Knoblauch

      págs. 301-309

      
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      Ranking Opportunity Sets Taking into Account Similarity Relations Induced by Money-Metric Utility Functions

      Carmen Vázquez Pampín

      págs. 313-324

      
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      The Interplay Between Intergenerational Justice and Mathematical Utility Theory

      José Carlos Rodríguez Alcantud , Alfio Giarlotta

      págs. 325-351

      
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      Comparative Risk Aversion for State-Dependent Preferences

      John Quiggin, Robert G. Chambers

      págs. 353-368