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Domain Conditions in Social Choice Theory

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  • Gaertner,Wulf

Abstract

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.

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Bibliographic Info

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This book is provided by Cambridge University Press in its series Cambridge Books with number 9780521791021 and published in 2001.

Order: http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521791021
Handle: RePEc:cup:cbooks:9780521791021

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Web page: http://www.cambridge.org

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Cited by:
  1. Salvador Barberà & Lars Ehlers, 2003. "Free Triples, Large Indifference Classes and the Majority Rule," UFAE and IAE Working Papers 599.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC), revised 01 Feb 2007.
  2. Franz Dietrich & Christian List, 2010. "Majority voting on restricted domains," LSE Research Online Documents on Economics 27902, London School of Economics and Political Science, LSE Library.
  3. Sethuraman, Jay & Teo, Chung-Piaw & Vohra, Rakesh V., 2006. "Anonymous monotonic social welfare functions," Journal of Economic Theory, Elsevier, vol. 128(1), pages 232-254, May.
  4. Dietrich, Franz & List, Christian, 2010. "Majority voting on restricted domains," Journal of Economic Theory, Elsevier, vol. 145(2), pages 512-543, March.
  5. Duddy, Conal, 2012. "Condorcet's principle and the strong no-show paradoxes," MPRA Paper 41527, University Library of Munich, Germany.
  6. Levin, Vladimir L., 2010. "On social welfare functionals: Representation theorems and equivalence classes," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 299-305, May.
  7. Salvador Barberà, 2010. "Strategy-proof social choice," UFAE and IAE Working Papers 828.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  8. Ashley Piggins & Juan Perote-Pena, 2004. "Pareto Efficiency With Spatial Rights," Royal Economic Society Annual Conference 2004 87, Royal Economic Society.
  9. Philippe Mongin, 2012. "The doctrinal paradox, the discursive dilemma, and logical aggregation theory," Theory and Decision, Springer, vol. 73(3), pages 315-355, September.

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