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Arrow's Theorem,Weglorz' Models and the Axiom of Choice |
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| Authors: | Norbert Brunner H Reiju Mihara |
| Abstract: | Applying Weglorz' mode s of set theory without the axiom of choice, we investigate Arrow‐type social we fare functions for infinite societies with restricted coalition algebras. We show that there is a reasonable, nondictatorial social welfare function satisfying “finite discrimination”, if and only if in Weglorz' mode there is a free ultrafilter on a set representing the individuals. |
| Keywords: | Arrow's theorem Anonymity Social/ecological welfare function Axiom of choice Ultrafilter Weglorz' model Permutation model |