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A Note On The Arrow’S Impossibility Theorem

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  • Ritesh Jain

Abstract

This paper generalizes Arrow’s impossibility theorem (Arrow1950) in two directions. First we allow agents to have incomplete preferences, and the admissible domain of preferences can be a proper subset of the full domain.

Suggested Citation

  • Ritesh Jain, 2015. "A Note On The Arrow’S Impossibility Theorem," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 60(207), pages 39-48, September.
    • Handle: RePEc:beo:journl:v:60:y:2015:i:207:p:39-48
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    References listed on IDEAS

    as
    1. Mandler, Michael, 2005. "Incomplete preferences and rational intransitivity of choice," Games and Economic Behavior, Elsevier, vol. 50(2), pages 255-277, February.
    2. Juan Dubra & Fabio Maccheroni & Efe A. Ok, 2004. "Expected Utility Without the Completeness Axiom," Yale School of Management Working Papers ysm404, Yale School of Management.
    3. Branislav Boricic, 2014. "Impossibility Theorems In Multiple Von Wright’S Preference Logic," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 59(201), pages 69-84, April – J.
    4. Alexander Reffgen, 2011. "Generalizing the Gibbard–Satterthwaite theorem: partial preferences, the degree of manipulation, and multi-valuedness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(1), pages 39-59, June.
    5. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58(4), pages 328-328.
    6. Ehud Kalai & Eitan Muller & Mark Satterthwaite, 1979. "Social welfare functions when preferences are convex, strictly monotonic, and continuous," Public Choice, Springer, vol. 34(1), pages 87-97, March.
    7. Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004. "Expected utility theory without the completeness axiom," Journal of Economic Theory, Elsevier, vol. 115(1), pages 118-133, March.
    8. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2011. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 2, number 2.
    9. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    10. Eliaz, Kfir & Ok, Efe A., 2006. "Indifference or indecisiveness? Choice-theoretic foundations of incomplete preferences," Games and Economic Behavior, Elsevier, vol. 56(1), pages 61-86, July.
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    More about this item

    Keywords

    Arrow Impossibility Theorem; Social Welfare Function; Incomplete Preferences;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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