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Mathematical Topics on Representations of Ordered Structures and Utility Theory

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Cover of 'Mathematical Topics on Representations of Ordered Structures and Utility Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Topology and Preference Relations
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    Chapter 2 The Existence and the Non-existence of Utility Functions in Order-Theoretic, Algebraic and Topological Environments
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    Chapter 3 Open Questions in Utility Theory
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    Chapter 4 Representations of Interval Orders on Connected Separable Topological Spaces
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    Chapter 5 Searching for a Debreu’s Open Gap Lemma for Semiorders
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    Chapter 6 A Note on Candeal and Induráin’s Semiorder Separability Condition
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    Chapter 7 Chain Representations of Nested Families of Biorders
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    Chapter 8 A Note on Representable Group Topologies
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    Chapter 9 Preferences in Abstract Convex Structures
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    Chapter 10 Strictly Monotonic Preferences
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    Chapter 11 Continuity and Continuous Multi-utility Representations of Nontotal Preorders: Some Considerations Concerning Restrictiveness
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    Chapter 12 Jointly Continuous Multi-utility Representations of Non-total Preorders
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    Chapter 13 Subjective States Without the Completeness Axiom
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    Chapter 14 Preference for Flexibility: A Continuous Representation in an Ordinal Setup
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    Chapter 15 The Arrow-Hahn Construction in a Locally Compact Metric Space
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    Chapter 16 Continuous Utility Representation of Fuzzy Preferences
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    Chapter 17 Ranking Opportunity Sets Taking into Account Similarity Relations Induced by Money-Metric Utility Functions
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    Chapter 18 The Interplay Between Intergenerational Justice and Mathematical Utility Theory
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    Chapter 19 Comparative Risk Aversion for State-Dependent Preferences
Attention for Chapter 1: Topology and Preference Relations
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Chapter title
Topology and Preference Relations
Chapter number 1
Book title
Mathematical Topics on Representations of Ordered Structures and Utility Theory
Published by
Springer, Cham, January 2020
DOI 10.1007/978-3-030-34226-5_1
Book ISBNs
978-3-03-034225-8, 978-3-03-034226-5

A. F. Beardon