1.

Record Nr.

UNINA9910779923203321

Autore

Gaertner Wulf

Titolo

Domain conditions in social choice theory / / Wulf Gaertner [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2001

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

Descrizione fisica

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

Disciplina

302/.13

Soggetti

Social choice - Mathematical models

Decision making - Mathematical models

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

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

Nota di bibliografia

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

Nota di contenuto

; 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.

Sommario/riassunto

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.