紹介
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.
目次
Utility, Preference, Individual Choice, Subjective Probability, and Measurement.- Entropy-Related Measures of the Utility of Gambling.- Altruistic Utility Functions for Joint Decisions.- SSB Preferences: Nonseparable Utilities or Nonseparable Beliefs.- Decision Making Based on Risk-Value Tradeoffs.- Normally Distributed Admissible Choices are Optimal.- A Conjoint Measurement Approach to the Discrete Sugeno Integral.- Additive Representability of Finite Measurement Structures.- Social Choice, Voting, and Social Welfare.- Acyclic Domains of Linear Orders: A Survey.- Condorcet Domains: A Geometric Perspective.- Condorcet's Paradox with Three Candidates.- On the Probability to Act in the European Union.- Voting Systems that Combine Approval and Preference.- Anonymous Voting Rules with Abstention: Weighted Voting.- Pareto, Anonymity or Neutrality, but Not IIA: Countably Many Alternatives.- Bruhat Orders and the Sequential Selection of Indivisible Items.- Posets, Graphs, Combinatorics, and Related Applied and Mathematical Topics.- Fractional Weak Discrepancy of Posets and Certain Forbidden Configurations.- Interval Order Representation via Shortest Paths.- Probe Interval Orders.- Mediatic Graphs.- An Application of Stahl's Conjecture About the k-Tuple Chromatic Numbers of Kneser Graphs.- Optimal Reservation Scheme Routing for Two-Rate Wide-Sense Nonblocking Three-Stage Clos Networks.- Correlation Inequalities for Partially Ordered Algebras.- The Kruskal Count.- Descending Dungeons and Iterated Base-Changing.- Updating Hardy, Littlewood and Polya with Linear Programming.
