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Relaxing IIA and the effect on individual power

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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.

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References

  • Arrow KJ (1959) Rational choice functions and orderings. Economica 26:121–127

    Article  Google Scholar 

  • Arrow KJ (1963) Social choice and individual values, 2nd edn. Wiley, New York

    Google Scholar 

  • Baumol W (1952) Review of “social choice and individual values”. Econometrica 20:110–111

    Article  Google Scholar 

  • Blau JH (1971) Arrow’s theorem with weak independence. Economica 38:413–420

    Article  Google Scholar 

  • Campbell DE (1995) Nonbinary social choice for economic environments. Soc Choice Welf 12:245–254

    Google Scholar 

  • Campbell DE, Kelly JS (1994) Arrovian social choice correspondences. Int Econ Rev 37:803–824

    Article  Google Scholar 

  • Campbell DE, Kelly JS (2000) Information and preference aggregation. Soc Choice Welf 17:85–93

    Article  Google Scholar 

  • Campbell DE, Kelly JS (2009) Social welfare functions that satisfy Pareto, anonymity, and neutrality, but not IIA: countably many alternatives. In: Brams SJ, Gehrlein WV, Roberts FS (eds) The mathematics of preference, choice, and order: essays in honor of Peter C. Fishburn. Springer, Berlin, pp 261–270

    Chapter  Google Scholar 

  • d’Aspremont C, Gevers L (2002) Social welfare functionals and interpersonal comparability. In: Arrow KJ, Sen AK, Suzumura K (eds) Handbook of social choice and welfare, vol 1. Elsevier, Amsterdam, pp 459–541

  • Grether DM, Plott CR (1982) Nonbinary social choice: an impossibility theorem. Rev Econ Stud 49:143–149

    Article  Google Scholar 

  • Le Breton M, Weymark JA (2011) Arrovian social choice theory on economic domains. In: Arrow KJ, Sen AK, Suzumura K (eds) Handbook of social choice and welfare, vol 2. Elsevier, Amsterdam

    Google Scholar 

  • Pazner EA, Schmeidler D (1978) Egalitarian equivalent allocations: a new concept of economic equity. Q J Econ 92:671–687

    Google Scholar 

  • Sen AK (2011) The informational basis of social choice. In: Arrow KJ, Sen AK, Suzumura K (eds) Handbook of social choice and welfare, vol 2. Elsevier, Amsterdam

    Google Scholar 

  • Weymark JA (2008) Strategy-proofness and the tops-only property. J Public Econ Theory 10:7–26

    Article  Google Scholar 

Download references

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Correspondence to Donald E. Campbell.

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We are grateful to our referees and the associate editor who made significant contributions to the paper.

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Campbell, D.E., Kelly, J.S. Relaxing IIA and the effect on individual power. Rev Econ Design 17, 165–181 (2013). https://doi.org/10.1007/s10058-013-0140-3

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  • DOI: https://doi.org/10.1007/s10058-013-0140-3

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