The mathematics of preference, choice and order : essays in honor of Peter C. Fishburn / Steven J. Brams, William V. Gehrlein, Fred S. Roberts, editors.

Part I Utility, Preference, Individual Choice, Subjective Probability, and Measurement Utility Theory Entropy-Related Measures of the Utility of Gambling 5 R. Duncan Luce, Anthony J. Marley, and Che Tat Ng Altruistic Utility Functions for Joint Decisions 27 David E. Bell and Ralph L. Keeney SSB Preferences: Nonseparable Utilities or Nonseparable Beliefs 39 Yutaka Nakamura Decision Theory Decision Making Based on Risk-Value Tradeoffs 59 Jianmin Jia and James S. Dyer Normally Distributed Admissible Choices are Optimal 73 James N. Bodurtha Jr and Qi Shen A Conjoint Measurement Approach to the Discrete Sugeno Integral 85 Denis Bouyssou, Thierry Marchant, and Marc Pirlot Measurement Theory Additive Representability of Finite Measurement Structures 113 Arkadii Slinko xi xii Contents Part II Social Choice, Voting, and Social Welfare Condorcet Domains and Probabilities Acyclic Domains of Linear Orders: A Survey 139 Bernard Monjardet Condorcet Domains: A Geometric Perspective 161 Donald G. Saari Condorcet's Paradox with Three Candidates 183 William V. Gehrlein On the Probability to Act in the European Union 197 Marc R. Feix, Dominique Lepelley, Vincent Merlin, and Jean-Louis Rouet Voting Rules Voting Systems that Combine Approval and Preference 215 Steven J. Brams and M. Remzi Sanver Anonymous Voting Rules with Abstention: Weighted Voting 239 William S. Zwicker Social Choice Pareto, Anonymity or Neutrality, but Not IIA: Countably Many Alternatives.