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Relaxing IIA and the effect on individual power

Author

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  • Donald Campbell
  • Jerry Kelly

Abstract

We allow departures from IIA in Arrow’s framework. Our measure of the extent of a departure is the amount of information needed to socially order a pair of alternatives. We also propose a measure of the scope of an individual’s power. The scope of at least one individual’s power increases in step with a reduction in the amount of information that has to be gathered to socially order two alternatives. This result is also established for correspondences, which select a subset of the feasible set as a function of individual preferences. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Donald Campbell & Jerry Kelly, 2013. "Relaxing IIA and the effect on individual power," Review of Economic Design, Springer;Society for Economic Design, vol. 17(3), pages 165-181, September.
    • Handle: RePEc:spr:reecde:v:17:y:2013:i:3:p:165-181
    DOI: 10.1007/s10058-013-0140-3
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    References listed on IDEAS

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    1. Donald E. Campbell & Jerry S. Kelly, 2009. "Pareto, Anonymity or Neutrality, but Not IIA: Countably Many Alternatives," Studies in Choice and Welfare, in: Steven J. Brams & William V. Gehrlein & Fred S. Roberts (ed.), The Mathematics of Preference, Choice and Order, pages 261-270, Springer.
    2. Steven J. Brams & William V. Gehrlein & Fred S. Roberts (ed.), 2009. "The Mathematics of Preference, Choice and Order," Studies in Choice and Welfare, Springer, number 978-3-540-79128-7, December.
    3. David M. Grether & Charles R. Plott, 1982. "Nonbinary Social Choice: An Impossibility Theorem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(1), pages 143-149.
    4. John A. Weymark, 2008. "Strategy‐Proofness and the Tops‐Only Property," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(1), pages 7-26, February.
    5. 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.
    6. 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.
    7. Elisha A. Pazner & David Schmeidler, 1978. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(4), pages 671-687.
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    More about this item

    Keywords

    Individual power; Information gathering; Relevant alternatives; D70; D71;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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