How to Divide When There Isn't Enough: From Aristotle, the Talmud, and Maimonides to the Axiomatics of Resource Allocation: 62 (Econometric Society Monographs, Series Number 62)
Cambridge University Press, 9/5/2019
EAN 9781107194625, ISBN10: 1107194628
Hardcover, 504 pages, 23.5 x 16.6 x 3.1 cm
Language: English
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.
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.