Ebook: The Mathematics of Preference, Choice and Order: Essays in Honor of Peter C. Fishburn
- Tags: Economic Theory, Public Finance & Economics, Game Theory Economics Social and Behav. Sciences, Political Science, Operations Research/Decision Theory
- Series: Studies in Choice and Welfare
- Year: 2009
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-xviii
Entropy-Related Measures of the Utility of Gambling....Pages 5-25
Altruistic Utility Functions for Joint Decisions....Pages 27-38
SSB Preferences: Nonseparable Utilities or Nonseparable Beliefs....Pages 39-55
Decision Making Based on Risk-Value Tradeoffs....Pages 59-72
Normally Distributed Admissible Choices are Optimal....Pages 73-83
A Conjoint Measurement Approach to the Discrete Sugeno Integral....Pages 85-109
Additive Representability of Finite Measurement Structures....Pages 113-133
Acyclic Domains of Linear Orders: A Survey....Pages 139-160
Condorcet Domains: A Geometric Perspective....Pages 161-182
Condorcet's Paradox with Three Candidates....Pages 183-196
On the Probability to Act in the European Union....Pages 197-211
Voting Systems that Combine Approval and Preference....Pages 215-237
Anonymous Voting Rules with Abstention: Weighted Voting....Pages 239-258
Pareto, Anonymity or Neutrality, but Not IIA: Countably Many Alternatives....Pages 261-270
Bruhat Orders and the Sequential Selection of Indivisible Items....Pages 273-285
Fractional Weak Discrepancy of Posets and Certain Forbidden Configurations....Pages 291-301
Interval Order Representation via Shortest Paths....Pages 303-311
Probe Interval Orders....Pages 313-322
Mediatic Graphs....Pages 325-343
An Application of Stahl's Conjecture About the k-Tuple Chromatic Numbers of Kneser Graphs....Pages 345-352
Optimal Reservation Scheme Routing for Two-Rate Wide-Sense Nonblocking Three-Stage Clos Networks....Pages 355-360
Correlation Inequalities for Partially Ordered Algebras....Pages 361-369
The Kruskal Count....Pages 371-391
Descending Dungeons and Iterated Base-Changing....Pages 393-402
Updating Hardy, Littlewood and P?lya with Linear Programming....Pages 403-420
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.
Content:
Front Matter....Pages i-xviii
Entropy-Related Measures of the Utility of Gambling....Pages 5-25
Altruistic Utility Functions for Joint Decisions....Pages 27-38
SSB Preferences: Nonseparable Utilities or Nonseparable Beliefs....Pages 39-55
Decision Making Based on Risk-Value Tradeoffs....Pages 59-72
Normally Distributed Admissible Choices are Optimal....Pages 73-83
A Conjoint Measurement Approach to the Discrete Sugeno Integral....Pages 85-109
Additive Representability of Finite Measurement Structures....Pages 113-133
Acyclic Domains of Linear Orders: A Survey....Pages 139-160
Condorcet Domains: A Geometric Perspective....Pages 161-182
Condorcet's Paradox with Three Candidates....Pages 183-196
On the Probability to Act in the European Union....Pages 197-211
Voting Systems that Combine Approval and Preference....Pages 215-237
Anonymous Voting Rules with Abstention: Weighted Voting....Pages 239-258
Pareto, Anonymity or Neutrality, but Not IIA: Countably Many Alternatives....Pages 261-270
Bruhat Orders and the Sequential Selection of Indivisible Items....Pages 273-285
Fractional Weak Discrepancy of Posets and Certain Forbidden Configurations....Pages 291-301
Interval Order Representation via Shortest Paths....Pages 303-311
Probe Interval Orders....Pages 313-322
Mediatic Graphs....Pages 325-343
An Application of Stahl's Conjecture About the k-Tuple Chromatic Numbers of Kneser Graphs....Pages 345-352
Optimal Reservation Scheme Routing for Two-Rate Wide-Sense Nonblocking Three-Stage Clos Networks....Pages 355-360
Correlation Inequalities for Partially Ordered Algebras....Pages 361-369
The Kruskal Count....Pages 371-391
Descending Dungeons and Iterated Base-Changing....Pages 393-402
Updating Hardy, Littlewood and P?lya with Linear Programming....Pages 403-420
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