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.
Similar content being viewed by others
References
Arrow KJ (1959) Rational choice functions and orderings. Economica 26:121–127
Arrow KJ (1963) Social choice and individual values, 2nd edn. Wiley, New York
Baumol W (1952) Review of “social choice and individual values”. Econometrica 20:110–111
Blau JH (1971) Arrow’s theorem with weak independence. Economica 38:413–420
Campbell DE (1995) Nonbinary social choice for economic environments. Soc Choice Welf 12:245–254
Campbell DE, Kelly JS (1994) Arrovian social choice correspondences. Int Econ Rev 37:803–824
Campbell DE, Kelly JS (2000) Information and preference aggregation. Soc Choice Welf 17:85–93
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
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
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
Pazner EA, Schmeidler D (1978) Egalitarian equivalent allocations: a new concept of economic equity. Q J Econ 92:671–687
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
Weymark JA (2008) Strategy-proofness and the tops-only property. J Public Econ Theory 10:7–26
Author information
Authors and Affiliations
Corresponding author
Additional information
We are grateful to our referees and the associate editor who made significant contributions to the paper.
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10058-013-0140-3