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Extending Xu's results to Arrow''s Impossibility Theorem

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  • Herrade Igersheim

    (CODE, Universitat Autònoma de Barcelona)

Abstract

This note shows that results similar to Arrow's Impossibility Theorem can be proved by replacing the weak Pareto principle by a weaker condition called Pareto Neutrality and used by Xu (1990) to state another version of Sen''s liberal paradox. Our result strengthens Xu''s arguments for taking into account non-welfarist information into the social-choice-theoretic framework.

Suggested Citation

  • Herrade Igersheim, 2005. "Extending Xu's results to Arrow''s Impossibility Theorem," Economics Bulletin, AccessEcon, vol. 4(13), pages 1-6.
    • Handle: RePEc:ebl:ecbull:eb-05d70027
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    References listed on IDEAS

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    1. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    2. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-157, Jan.-Feb..
    3. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521004046.
    4. Andreu Mas-Colell & Hugo Sonnenschein, 1972. "General Possibility Theorems for Group Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(2), pages 185-192.
    5. Donald G. Saari, 1998. "Connecting and resolving Sen's and Arrow's theorems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(2), pages 239-261.
    6. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521808163.
    7. Wilson, Robert, 1972. "Social choice theory without the Pareto Principle," Journal of Economic Theory, Elsevier, vol. 5(3), pages 478-486, December.
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    More about this item

    Keywords

    Arrow's Impossibility Theorem;

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D6 - Microeconomics - - Welfare Economics

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