Domain conditions in social choice theory:
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 'Impos...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2001
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| Subjects: | |
| Online Access: | BSB01 UBG01 Volltext |
| 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (ix, 153 pages) |
| ISBN: | 9780511492303 |
| DOI: | 10.1017/CBO9780511492303 |
Staff View
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| author | Gaertner, Wulf |
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| contents | Introduction Notation, definitions, and two fundamental theorems The existence of collective choice rules under exclusion conditions for finite sets of discrete alternatives Arrovian social welfare functions, nonmanipulable voting procedures and stable group decision functions Restrictions on the distribution of individuals' preferences The existence of social choice rules in n-dimensional continuous space Concluding remarks |
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| dewey-tens | 300 - Social sciences |
| discipline | Soziologie Politologie Mathematik Wirtschaftswissenschaften |
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| isbn | 9780511492303 |
| language | English |
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| spelling | Gaertner, Wulf Verfasser aut Domain conditions in social choice theory Wulf Gaertner Cambridge Cambridge University Press 2001 1 online resource (ix, 153 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 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 Mathematisches Modell Social choice / Mathematical models Decision making / Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Kollektiventscheidung (DE-588)4022393-0 gnd rswk-swf Kollektiventscheidung (DE-588)4022393-0 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-02874-5 Erscheint auch als Druckausgabe 978-0-521-79102-1 https://doi.org/10.1017/CBO9780511492303 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gaertner, Wulf Domain conditions in social choice theory Introduction Notation, definitions, and two fundamental theorems The existence of collective choice rules under exclusion conditions for finite sets of discrete alternatives Arrovian social welfare functions, nonmanipulable voting procedures and stable group decision functions Restrictions on the distribution of individuals' preferences The existence of social choice rules in n-dimensional continuous space Concluding remarks Mathematisches Modell Social choice / Mathematical models Decision making / Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Kollektiventscheidung (DE-588)4022393-0 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4022393-0 |
| title | Domain conditions in social choice theory |
| title_alt | Introduction Notation, definitions, and two fundamental theorems The existence of collective choice rules under exclusion conditions for finite sets of discrete alternatives Arrovian social welfare functions, nonmanipulable voting procedures and stable group decision functions Restrictions on the distribution of individuals' preferences The existence of social choice rules in n-dimensional continuous space Concluding remarks |
| title_auth | Domain conditions in social choice theory |
| title_exact_search | Domain conditions in social choice theory |
| title_full | Domain conditions in social choice theory Wulf Gaertner |
| title_fullStr | Domain conditions in social choice theory Wulf Gaertner |
| title_full_unstemmed | Domain conditions in social choice theory Wulf Gaertner |
| title_short | Domain conditions in social choice theory |
| title_sort | domain conditions in social choice theory |
| topic | Mathematisches Modell Social choice / Mathematical models Decision making / Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Kollektiventscheidung (DE-588)4022393-0 gnd |
| topic_facet | Mathematisches Modell Social choice / Mathematical models Decision making / Mathematical models Kollektiventscheidung |
| url | https://doi.org/10.1017/CBO9780511492303 |
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