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Look Inside How to Divide When There Isn't Enough

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

$150.00 (P)

Part of Econometric Society Monographs

  • Publication planned for: October 2019
  • availability: Not yet published - available from October 2019
  • format: Hardback
  • isbn: 9781107194625

$ 150.00 (P)
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About the Authors
  • 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.

    • Illustrates modern developments in the theory of economic design
    • Introduces principles and techniques that can be applied in studying other types of allocation problems
    • Offers an elementary yet rigorous analysis, making the literature accessible to both students and researchers
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    Reviews & endorsements

    ‘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

    ‘The design of rationing rules has inspired for nearly forty years a fascinating intellectual edifice of axiomatic postulates and mathematical results, reviewed here by the premiere author of that literature. Readers will recognize, or discover, William Thomson's superb pedagogical talent in a text that is comprehensive, self-contained, and luminously clear.' Hervé Moulin, Donald J. Robertson Chair of Economics, University of Glasgow

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    Product details

    • Publication planned for: October 2019
    • format: Hardback
    • isbn: 9781107194625
    • dimensions: 228 x 152 mm
    • contains: 170 b/w illus. 3 tables
    • availability: Not yet published - available from October 2019
  • 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.

  • Author

    William Thomson, University of Rochester, New York
    William Thomson is the Elmer Milliman Professor of Economics at the University of Rochester, New York. He is the author of several books including A Guide for the Young Economist (2011) which has appeared in four translations, and over one hundred articles. In 2001, he won the University Award for Excellence in Graduate Teaching at the University of Rochester. He is a Fellow of the Econometric Society, the Society for Economic Theory, and the Game Theory Society.

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