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Wilson's theorem for economic environments and continuous social preferences (1989)

Campbell, D. E.

Springer

Social choice and welfare 6 (1989), S. 315-323

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ISSN: 1432-217X

Source: Springer Online Journal Archives 1860-2000

Topics: Sociology , Economics

Notes: Abstract Wilson's generalization of Arrow's impossibility theorem has been proved for the realm of private goods and economic preferences by Border and by Bordes and Le Breton. However, their proofs require the exclusion of the zero vector from the commodity space. This paper assumes continuity of social preference to obtain the impossibility theorem for the entire allocation space, even if the society is infinite. A simple corollary reveals that there is some individual who is assigned the zero consumption vector at every social optimum whenever the social welfare function is nonnull and nonimposed, and satisfies Arrow's independence axiom and continuity and transitivity of social preference.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00446988

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