How to Divide When There Isn't Enough: From Aristotle, the Talmud, and Maimonides to the Axiomatics of Resource Allocation
 
Product details:

ISBN13:9781316646441
ISBN10:13166464411
Binding:Paperback
No. of pages:504 pages
Size:227x152x29 mm
Weight:740 g
Language:English
Illustrations: 170 b/w illus. 3 tables
235
Category:

How to Divide When There Isn't Enough

From Aristotle, the Talmud, and Maimonides to the Axiomatics of Resource Allocation
 
Publisher: Cambridge University Press
Date of Publication:
 
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GBP 47.99
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Short description:

An introduction to the modern theory of economic design, it develops an up-to-date treatment of the adjudication of conflicting claims.

Long description:
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.

'William Thomson, one of the greatest academic advisors in economics worldwide, and a leading scholar in the field of resource allocation, has been carefully developing this project for more than two decades. I believe the book will be considered a classic right after being published.' Juan D. Moreno-Ternero, Universidad Pablo de Olavide, Spain
Table of Contents:
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.