Symmetry and Extensions of Arrow's Theorem

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2982 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2982 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2982 archive 351 disk0/00/00/29/43 2016-01-15 01:57:40 2021-08-27 17:12:55 2016-01-15 01:57:40 monograph show 2 Saari D.G. AL1737 Symmetry and Extensions of Arrow's Theorem pub iis_met iis_mod prog_sds By emphasizing the symmetry of certain set theoretic conditions, shown to be associated with Arrow's Impossibility Theorem, a characterization of "kinds of axioms" is obtained. More precisely, if the defining properties of a model satisfies these conditions, then the model must have a conclusion much like that of Arrow's theorem. Because the conditions are described in set theoretic terms, the applicability of these results extends beyond the usual setting of complete, binary, transitive rankings to space of utility functions, probability distributions, etc. In this manner, not only can new extensions of Arrow's theorem be obtained, but it is shown how the same "kinds of axioms" applies to, say, problems about the aggregate excess demand function, the Hurwicz-Schmeidler dictatorial result about Pareto optimal, Nash equilibria, the Gibbard-Satterthwaite theorem about manipulability, etc. 1987-11 published WP-87-109 WP-87-109 10 2827 public working_paper IIASA, Laxenburg, Austria 46 FALSE info:eu-repo/semantics/book