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impossibility results for free ultrafilters: The domain of an ultraproduct over a free ultrafilter extends the individual factor … preferences that it generalises. This is due to the fact that the typical judgment aggregation problem induces an ultrafilter on …, dictatorship then immediately follows from the principality of an ultrafilter on a finite set. This is not the case for an infinite …
Persistent link: https://www.econbiz.de/10010272584
-type rationality axioms are shown to be restricted reduced product constructions with respect to the filter of decisive coalitions; an … oligarchic impossibility result follows. Under stronger assumptions, aggregators are restricted ultraproduct constructions …
Persistent link: https://www.econbiz.de/10008509510
This paper studies collective decision making with regard to convex risk measures: It addresses the question whether there exist nondictatorial aggregation functions of convex risk measures satisfying Arrow-type rationality axioms (weak universality, systematicity, Pareto principle). Herein,...
Persistent link: https://www.econbiz.de/10010272587
It is known that a combination of the Maccheroni-Marinacci-Rustichini (2006) axiomatisation of variational preferences with the Föllmer-Schied (2002,2004) representation theorem for concave monetary utility functionals provides an (individual) decision-theoretic foundation for convex risk...
Persistent link: https://www.econbiz.de/10008498362
-type rationality axioms are shown to be restricted reduced product constructions with respect to the filter of decisive coalitions; an … oligarchic impossibility result follows. Under stronger assumptions, aggregators are restricted ultraproduct constructions …
Persistent link: https://www.econbiz.de/10010272607
-type rationality axioms are shown to be restricted reduced product constructions with respect to the filter of decisive coalitions; an … oligarchic impossibility result follows. Under stronger assumptions, aggregators are restricted ultraproduct constructions …
Persistent link: https://www.econbiz.de/10009452493
(ultra)filter method in social choice theory. From the (ultra)filter property of the set of winning coalitions, one obtains …
Persistent link: https://www.econbiz.de/10005002280
ultraproduct of the reals with respect to the ultrafilter of decisive coalitions; this construction explicitly determines the …
Persistent link: https://www.econbiz.de/10010272588
-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 …
Persistent link: https://www.econbiz.de/10010272601
-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 …
Persistent link: https://www.econbiz.de/10005790333