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On $$\mathcal {S}$$ S -independence and Hansson’s external independence

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  • Dan Qin

Abstract

This paper provides a generalized characterization of the family of independence conditions which are equivalent to independence of irrelevant alternatives by proposing a pair-based refinement of $$\mathcal {S}$$ S -independence. Equipped with the new result, the relation between external independence conditions and independence of irrelevant alternatives is explored. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Dan Qin, 2015. "On $$\mathcal {S}$$ S -independence and Hansson’s external independence," Theory and Decision, Springer, vol. 79(2), pages 359-371, September.
    • Handle: RePEc:kap:theord:v:79:y:2015:i:2:p:359-371
    DOI: 10.1007/s11238-014-9468-6
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    References listed on IDEAS

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    1. Blau, Julian H, 1971. "Arrow's Theorem with Weak Independence," Economica, London School of Economics and Political Science, vol. 38(152), pages 413-420, November.
    2. Marc Fleurbaey & Kotaro Suzumura & Koichi Tadenuma, 2005. "The informational basis of the theory of fair allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(2), pages 311-341, April.
    3. Le Breton, M. & Truchon, M., 1993. "Acyclicity and the Dispersion of the Veto Power," Papers 9317, Laval - Recherche en Politique Economique.
    4. Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2005. "Arrovian aggregation in economic environments: how much should we know about indifference surfaces?," Journal of Economic Theory, Elsevier, vol. 124(1), pages 22-44, September.
    5. Susumu Cato, 2014. "Independence of irrelevant alternatives revisited," Theory and Decision, Springer, vol. 76(4), pages 511-527, April.
    6. Donald Campbell & Jerry Kelly, 2007. "Social welfare functions that satisfy Pareto, anonymity, and neutrality, but not independence of irrelevant alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(1), pages 69-82, July.
    7. Donald Campbell & Jerry Kelly, 2007. "Pareto, anonymity, and independence: four alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(1), pages 83-104, July.
    8. Blair, Douglas H & Pollak, Robert A, 1982. "Acyclic Collective Choice Rules," Econometrica, Econometric Society, vol. 50(4), pages 931-943, July.
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    More about this item

    Keywords

    Arrow’s impossibility theorem; Independence condition ; External similarity independence; D71;
    All these keywords.

    JEL classification:

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

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