Domain conditions in social choice theory / Wulf Gaertner.

Format:

Book

Author/Creator:

Gaertner, Wulf, author.

Language:

English

Subjects (All):

Social choice--Mathematical models.

Social choice.

Decision making--Mathematical models.

Decision making.

Physical Description:

1 online resource (ix, 153 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2001.

Language Note:

English

Summary:

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:

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 131-145) and index.

ISBN:

1-107-12141-8

0-511-32817-6

0-511-15400-3

0-511-11898-8

0-521-79102-2

1-280-15929-4

0-511-49230-8

0-511-04671-5

OCLC:

475914666