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Arrow’S Impossibility Theorem: Preference Diversity In A Single-Profile World

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Author Info
Roberto Serrano ()
Allan M. Feldman () (CEMFI, Centro de Estudios Monetarios y Financieros)

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Abstract

In this paper we provide a simple new version of Arrow’s impossibility theorem, in a world with only one preference profile. This theorem relies on a new assumption of preference diversity, and we explore alternative notions of preference diversity at length.

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Publisher Info
Paper provided by CEMFI in its series Working Papers with number wp2007_0710.

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Date of creation: Jul 2007
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Handle: RePEc:cmf:wpaper:wp2007_0710

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Related research
Keywords: Arrow's theorem; single-profile; preference diversity.;

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Find related papers by JEL classification:
D60 - Microeconomics - - Welfare Economics - - - General
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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  1. Samuelson, Paul A, 1977. "Reaffirming the Existence of "Reasonable" Bergson-Samuelson Social Welfare Functions," Economica, London School of Economics and Political Science, vol. 44(173), pages 81-88, February. [Downloadable!] (restricted)
  2. Marc Fleurbaey & Philippe Mongin, 2005. "The news of the death of welfare economics is greatly exaggerated," Social Choice and Welfare, Springer, vol. 25(2), pages 381-418, December. [Downloadable!] (restricted)
    Other versions:
  3. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58, pages 328. [Downloadable!] (restricted)
  4. Pollak, Robert A, 1979. "Bergson-Samuelson Social Welfare Functions and the Theory of Social Choice," The Quarterly Journal of Economics, MIT Press, vol. 93(1), pages 73-90, February. [Downloadable!] (restricted)
  5. Kemp, Murray C & Ng, Yew-Kwang, 1976. "On the Existence of Social Welfare Functions, Social Orderings and Social Decision Functions," Economica, London School of Economics and Political Science, vol. 43(169), pages 59-66, February. [Downloadable!] (restricted)
  6. Reny, Philip J., 2001. "Arrow's theorem and the Gibbard-Satterthwaite theorem: a unified approach," Economics Letters, Elsevier, vol. 70(1), pages 99-105, January. [Downloadable!] (restricted)
  7. Campbell, Donald E. & Kelly, Jerry S., 2002. "Impossibility theorems in the arrovian framework," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 1, pages 35-94 Elsevier. [Downloadable!] (restricted)
  8. BOSSERT, Walter & SUZUMURA, Kotaro, 2006. "A Characterization of Consistent Collective Choice Rules," Cahiers de recherche 2006-12, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
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  9. Blau, Julian H & Deb, Rajat, 1977. "Social Decision Functions and the Veto," Econometrica, Econometric Society, vol. 45(4), pages 871-79, May. [Downloadable!] (restricted)
  10. Roberts, Kevin W S, 1980. "Social Choice Theory: The Single-profile and Multi-profile Approaches," Review of Economic Studies, Blackwell Publishing, vol. 47(2), pages 441-50, January. [Downloadable!] (restricted)
  11. Parks, Robert P, 1976. "An Impossibility Theorem for Fixed Preferences: A Dictatorial Bergson-Samuelson Welfare Function," Review of Economic Studies, Blackwell Publishing, vol. 43(3), pages 447-50, October. [Downloadable!] (restricted)
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