Social Welfare Functions which preserve distances

Fritz Grafe () and Julius Grafe ()
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Fritz Grafe: Instituto de EconomÎa Pßblica y Departamento de Fundamentos del AnÂlisis EconÕmico, Facultad de Ciencias EconÕmicas y Empreasariales, Universidad del PaÎs Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
Julius Grafe: Instituto de EconomÎa Pßblica y Departamento de Fundamentos del AnÂlisis EconÕmico, Facultad de Ciencias EconÕmicas y Empreasariales, Universidad del PaÎs Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain

Social Choice and Welfare, 2001, vol. 18, issue 1, 59-64

Abstract: The notion of keeping distances, introduced by N. Baigent in [2], avoids the need to introduce topological concepts when defining Social Welfare Functions with requirements analogous to those established by Chichilnsky in [3]. In the following study we propose an extension of the results of Baigent, in a non topological framework, to a much broader class of metrics which enables the case of infinite agents to be considered in a natural fashion.

Date: 2001-01-10
Note: Received: 14 June 1999/Accepted: 4 November 1999
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