How to Divide When There Isn't Enough develops a rigorous yet accessible presentation of the state-of-the-art for the adjudication of conflicting claims and the theory of taxation. It covers all aspects one may wish to know about claims problems: the most important rules, the most important axioms, and how these two sets are related. More generally, it also serves as an introduction to the modern theory of economic design, which in the last twenty years has revolutionized many areas of economics, generating a wide range of applicable allocations rules that have improved people's lives in many ways. In developing the theory, the book employs a variety of techniques that will appeal to both experts and non-experts. Compiling decades of research into a single framework, William Thomson provides numerous applications that will open a large number of avenues for future research.
Author(s): William Thomson
Series: Econometric Society Monographs
Publisher: Cambridge University Press
Year: 2019
Language: English
Pages: 504
Cover
Summary
Title Page
Contents
List of Figures
List of Tables
Acknowledgments
General Notation
1 Introduction
2 Inventory of Division Rules
3 Basic Properties of Division Rules
4 Monotonicity Properties
5 Claims Truncation Invariance and Minimal Rights First
6 Composition Down and Composition Up
7 Duality
8 Other Invariance Properties
9 Operators
10 Variable-Population Model: Consistency and Related Properties
11 Constructing Consistent Extensions of Two-Claimant Rules
12 Variable-Population Model: Other Properties
13 Ranking Awards Vectors and Ranking Rules
14 Modeling Claims Problems as Games
15 Variants and Generalizations of the Base Model
16 Summary Graphs and Tables
17 Appendices
References
Index
