The Mathematics of Preference, Choice and Order

Essays in Honor of Peter C. Fishburn

  • Steven J. Brams
  • William V. Gehrlein
  • Fred S. Roberts

Part of the Studies in Choice and Welfare book series (WELFARE)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Utility, Preference, Individual Choice, Subjective Probability, and Measurement

    1. Utility Theory

      1. R. Duncan Luce, Anthony J. Marley, Che Tat Ng
        Pages 5-25
      2. David E. Bell, Ralph L. Keeney
        Pages 27-38
    2. Decision Theory

      1. Jianmin Jia, James S. Dyer
        Pages 59-72
      2. James N. Bodurtha Jr, Qi Shen
        Pages 73-83
      3. Denis Bouyssou, Thierry Marchant, Marc Pirlot
        Pages 85-109
    3. Measurement Theory

  3. Social Choice, Voting, and Social Welfare

    1. Condorcet Domains and Probabilities

      1. Bernard Monjardet
        Pages 139-160
      2. Donald G. Saari
        Pages 161-182
      3. William V. Gehrlein
        Pages 183-196
      4. Marc R. Feix, Dominique Lepelley, Vincent Merlin, Jean-Louis Rouet
        Pages 197-211
    2. Voting Rules

      1. Steven J. Brams, M. Remzi Sanver
        Pages 215-237
    3. Social Choice

      1. Donald E. Campbell, Jerry S. Kelly
        Pages 261-270
    4. Fair Division

      1. Brian Hopkins, Michael A. Jones
        Pages 273-285
  4. Posets, Graphs, Combinatorics, and Related Applied and Mathematical Topics

    1. Partial Orders and Interval Orders

      1. Alan Shuchat, Randy Shull, Ann N. Trenk
        Pages 291-301
      2. David E. Brown, Larry J. Langley
        Pages 313-322
    2. Graphs

      1. Jean-Claude Falmagne, Sergei Ovchinnikov
        Pages 325-343
    3. Various Applied Mathematics Topics

      1. Jeffrey C. Lagarias, Eric Rains, Robert J. Vanderbei
        Pages 371-391
      2. David Applegate, Marc Le Brun, N. J. A. Sloane
        Pages 393-402

About this book


This volume serves the multiple purposes of honoring Peter Fishburn's contributions, providing both expository and new papers from leading figures in each of the areas of Fishburn's research, and putting into one volume a wide variety of topics that are often not included together. These topics consider mathematical aspects of: social choice theory, decision theory, operations research, economics, political science, and psychology; as well as mathematical topics such as partial orders, graph theory, probability, and optimization. An important objective of this book is to demonstrate linkages that exist among these areas of research.


Decision Theory Discrete Mathematics Mathematical Psychology Operations Research Preferences Social Choice Social Choice Theory combinatorics linear optimization optimization

Editors and affiliations

  • Steven J. Brams
    • 1
  • William V. Gehrlein
    • 2
  • Fred S. Roberts
    • 3
  1. 1.Department of PoliticsNew York UniversityNew YorkUSA
  2. 2.Department of Business AdministrationUniversity of DelawareNewarkUSA
  3. 3.DIMACS Rutgers UniversityPiscatawayUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-79127-0
  • Online ISBN 978-3-540-79128-7
  • Series Print ISSN 1614-0311
  • Buy this book on publisher's site
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