Uniformly Bounded Information and Social Choice
The set of alternatives is infinite. If social welfare function f satisfies the Pareto criterion and there is a positive number β such that each pair of alternatives can be socially ordered without having to consult individual preference over a set with more than β alternatives then there are arbitrarily large finite subsets of X within which f is dictatorial when individual preferences are restricted to a rich subset of profiles.
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- Osborne, Dale K, 1976. "Irrelevant Alternatives and Social Welfare," Econometrica, Econometric Society, vol. 44(5), pages 1001-15, September.
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Social Choice and Welfare,
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- Donald E. Campbell & Jerry S. Kelly, 2000. "Information and preference aggregation," Social Choice and Welfare, Springer, vol. 17(1), pages 3-24.
- Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2002.
"Arrovian Aggregation in Economic Environments: How Much Should We Know About Indifference Surfaces?,"
2002-10, Graduate School of Economics, Hitotsubashi University.
- 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.
- Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2002. "Arrovian Aggregation in Economic Environments: How Much Should We Know About Indifference Surfaces?," Discussion Paper 121, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
- Marc Fleurbaey, 2003. "On the informational basis of social choice," Social Choice and Welfare, Springer, vol. 21(2), pages 347-384, October.
- Blau, Julian H, 1971. "Arrow's Theorem with Weak Independence," Economica, London School of Economics and Political Science, vol. 38(152), pages 413-20, November.
- Campbell, Donald E. & Kelly, Jerry S., 2002. "Impossibility theorems in the arrovian framework," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 1, pages 35-94 Elsevier.
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