The Mathematics of Preference, Choice and Order

Essays in Honor of Peter C. Fishburn

ISBN: 978-3-540-79127-0 (Print) 978-3-540-79128-7 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-xviii

  2. Utility, Preference, Individual Choice, Subjective Probability, and Measurement

    1. Utility Theory

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        Book Chapter

        Pages 5-25

        Entropy-Related Measures of the Utility of Gambling

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        Pages 27-38

        Altruistic Utility Functions for Joint Decisions

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        Pages 39-55

        SSB Preferences: Nonseparable Utilities or Nonseparable Beliefs

      Decision Theory

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        Pages 59-72

        Decision Making Based on Risk-Value Tradeoffs

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        Pages 73-83

        Normally Distributed Admissible Choices are Optimal

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        Book Chapter

        Pages 85-109

        A Conjoint Measurement Approach to the Discrete Sugeno Integral

      Measurement Theory

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        Pages 113-133

        Additive Representability of Finite Measurement Structures

  3. Social Choice, Voting, and Social Welfare

    1. Condorcet Domains and Probabilities

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        Book Chapter

        Pages 139-160

        Acyclic Domains of Linear Orders: A Survey

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        Pages 161-182

        Condorcet Domains: A Geometric Perspective

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        Pages 183-196

        Condorcet's Paradox with Three Candidates

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        Pages 197-211

        On the Probability to Act in the European Union

      Voting Rules

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        Pages 215-237

        Voting Systems that Combine Approval and Preference

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        Book Chapter

        Pages 239-258

        Anonymous Voting Rules with Abstention: Weighted Voting

      Social Choice

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        Book Chapter

        Pages 261-270

        Pareto, Anonymity or Neutrality, but Not IIA: Countably Many Alternatives

      Fair Division

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        Pages 273-285

        Bruhat Orders and the Sequential Selection of Indivisible Items

  4. Posets, Graphs, Combinatorics, and Related Applied and Mathematical Topics

    1. Partial Orders and Interval Orders

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        Book Chapter

        Pages 291-301

        Fractional Weak Discrepancy of Posets and Certain Forbidden Configurations

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        Book Chapter

        Pages 303-311

        Interval Order Representation via Shortest Paths

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        Book Chapter

        Pages 313-322

        Probe Interval Orders

      Graphs

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        Book Chapter

        Pages 325-343

        Mediatic Graphs

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        Book Chapter

        Pages 345-352

        An Application of Stahl's Conjecture About the k-Tuple Chromatic Numbers of Kneser Graphs

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