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preferences that it generalises. This is due to the fact that the typical judgment aggregation problem induces an ultrafilter on … impossibility results for free ultrafilters: The domain of an ultraproduct over a free ultrafilter extends the individual factor …It is well known that the literature on judgment aggregation inherits the impossibility results from the aggregation of …
Persistent link: https://www.econbiz.de/10010272584
there exist nondictatorial aggregation functions of convex risk measures satisfying Arrow-type rationality axioms (weak …'s impossibility theorem for finite electorates. For infinite electorates, the possibility of rational aggregation depends on a uniform … theorem and Fishburn's possibility theorem. The proof methodology is based on a model-theoretic approach to aggregation theory …
Persistent link: https://www.econbiz.de/10010272587
problem of Arrovian aggregation of MBA preferences - and prove dictatorial impossibility results for both finite and infinite …
Persistent link: https://www.econbiz.de/10010338890
) preference orderings. This paper investigates the problem of Arrovian aggregation of such preferences - and proves dictatorial …-utility preferences are given. A novel proof methodology for special aggregation problems, based on model theory (in the sense of …
Persistent link: https://www.econbiz.de/10010187944
ultraproduct of the reals with respect to the ultrafilter of decisive coalitions; this construction explicitly determines the …
Persistent link: https://www.econbiz.de/10010272588
]. The paper first proposes a unified framework for the analysis of the relation between various aggregation problems and the … oligarchic impossibility result follows. Under stronger assumptions, aggregators are restricted ultraproduct constructions …
Persistent link: https://www.econbiz.de/10010272607
-respecting, systematic judgment aggregation functions is established. The proof constructs an ultraproduct of profiles, viewed as … propositional structures, with respect to the ultrafilter of decisive coalitions. This representation theorem can be used to prove … other properties of such judgment aggregation functions, in particular sovereignty and monotonicity, as well as an …
Persistent link: https://www.econbiz.de/10005812796
-respecting, systematic judgment aggregation functions is established. The proof constructs an ultraproduct of profiles, viewed as … propositional structures, with respect to the ultrafilter of decisive coalitions. This representation theorem can be used to prove … other properties of such judgment aggregation functions, in particular sovereignty and monotonicity, as well as an …
Persistent link: https://www.econbiz.de/10005790333
preference and judgment aggregation theory which show that the aggregate of several probability measures should not be conceived … opinion pooling can be generalised to cover the case of the aggregation of infinite profiles of finitely-additive probability … measures, too; we prove the existence of aggregation functionals satisfying responsiveness axioms à la McConway plus additional …
Persistent link: https://www.econbiz.de/10010234048
-order predicate logic ; ultrafilter ; ultraproduct … there exist nondictatorial aggregation functions of convex risk measures satisfying Arrow-type rationality axioms (weak …'s impossibility theorem for finite electorates. For infinite electorates, the possibility of rational aggregation depends on a uniform …
Persistent link: https://www.econbiz.de/10008735707