Arrow's Theorem in Public Good Environments with Convex Technologies

Author: Duggan J.

Source: Journal of Economic Theory, Volume 68, Number 2, February 1996 , pp. 303-318(16)

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Abstract:

I prove a version of Arrow's theorem for public good environments assuming that individuals have standard economic preferences and that the domain of feasible sets consists of the convex, compact, comprehensive subsets of alternatives. This improves a result of Donaldson and Weymark ( J. Econ. Theory 46 (1988), 291-308), who employ non-convex feasible sets in their proof. I use their strengthened independence condition, and I interpret my result as a reflection of its undue restrictiveness. As an intermediate step toward this result, I prove Arrow's theorem in spatial environments using the standard independence condition and assuming the domain of feasible sets consists of the convex, compact subsets. Journal of Economic Literature Classification Numbers: D70, D71, O33.

Language: English

Document Type: Research article

Affiliations: Department of Economics, Queen's University, Kingston, Ontario, K7L 3N6, Canada

Publication date: 1996-02-01