Social evaluation functionals with an arbitrary set of alternatives

Juan C. Candeal ()
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Juan C. Candeal: Universidad de Zaragoza

Theory and Decision, 2023, vol. 95, issue 2, No 4, 255-271

Abstract: Abstract This paper explores the concept of a social evaluation functional in the case of an arbitrary set of alternatives. In the first part, a characterization of projective social evaluations functionals is shown whenever the common restricted domain is the set of all bounded utility functions equipped with the supremum norm topology. The result makes a crucial use, among others, of a continuity axiom. In the second part, a comparison meaningful property is introduced for a social evaluation functional which allows us for obtaining a more general result with no continuity requirements. Finally, an impossibility theorem, which is reminiscent of that is obtained by Chichilnisky in (Q J Econ 97:337–352, 1982) but without using topological conditions, is offered.

Keywords: Social evaluation functionals; Continuity; Comparison meaningfulness; Projective rules (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s11238-022-09923-7

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