Domain Conditions in Social Choice Theory
Offering the most comprehensive and up-to-date survey of current research in an important area of social choice theory, Wulf Gaertner's monograph provides an essential reference for economists and political scientists. In the interests of accessibilty and readability, extensive formal proofs to theorems are not included in the text but are carefully referenced, allowing interested readers to pursue them independently. Though written in a formal style, the mathematical level of the book is designed to be appropriate for graduate students with a basic training in mathematics.
- A most comprehensive survey of literature, covering over 100 theorems
- Uses standardized mathematical notation
- Work quoted by Amartya Sen in his Nobel Prize acceptance speech
Reviews & endorsements
"...an interesting and valuable book. It will be an essential addition to the library of social choice theory scholars and their graduate students." Public Choice
"A good source of references..." Mathematical Reviews
Product details
November 2006Paperback
9780521028745
168 pages
228 × 152 × 10 mm
0.229kg
6 b/w illus.
Available
Table of Contents
- Preface and acknowledgements
- 1. Introduction
- 2. Notation, definitions and two fundamental theorems
- 3. The existence of collective choice rules under exclusion conditions for finite sets of discrete alternatives
- 4. Arrovian social welfare functions, nonmanipulable voting procedures and stable group decision functions
- 5. Restrictions on the distribution of individuals' preferences
- 6. The existence of social choice rules in n-dimensional continuous space
- 7. Concluding remarks
- 8. References
- Indexes.