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基本説明
New in paperback. Hardcover was published in 2001. A YBP Library Services Bestselling Professional Titles, 2nd quarter 2002. Provides an account of the issue within social choice theory: how to establish a social welfare function while restructuring the spectrum of individual preferences in a sensible way.
Full Description
Wulf Gaertner provides a comprehensive account of an important and complex issue within social choice theory: how to establish a social welfare function while restricting the spectrum of individual preferences in a sensible way. Gaertner's starting point is K. J. Arrow's famous 'Impossibility Theorem', which showed that no welfare function could exist if an unrestricted domain of preferences is to be satisfied together with some other appealing conditions. A number of leading economists have tried to provide avenues out of this 'impossibility' by restricting the variety of preferences: here, Gaertner provides a clear and detailed account, using standardized mathematical notation, of well over forty theorems associated with domain conditions. Domain Conditions in Social Choice Theory will be an essential addition to the library of social choice theory for scholars and their advanced graduate students.
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.
