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theorem and Fishburn's possibility theorem. The proof methodology is based on a model-theoretic approach to aggregation theory … aggregation theory ; variational preferences ; multiple priors preferences ; convex risk measure ; model theory ; first … there exist nondictatorial aggregation functions of convex risk measures satisfying Arrow-type rationality axioms (weak …
Persistent link: https://www.econbiz.de/10008735707
. -- Arrow-type preference aggregation ; judgment aggregation ; model theory ; first-order predicate logic ; filter ; ultrafilter …It is well known that the literature on judgment aggregation inherits the impossibility results from the aggregation of … preferences that it generalises. This is due to the fact that the typical judgment aggregation problem induces an ultrafilter on …
Persistent link: https://www.econbiz.de/10008736325
This article investigates the representative-agent hypothesis for an infinite population which has to make a social choice from a given finite-dimensional space of alternatives. It is assumed that some class of admissible strictly concave utility functions is exogenously given and that each...
Persistent link: https://www.econbiz.de/10003818194
Eliaz (2004) has established a "meta-theorem" for preference aggregation which implies both Arrow's Theorem (1963) and … preference aggregation is the mutual exclusiveness of Pareto optimality, individual responsiveness (preference reversal) and non …-dictatorship. Recent work on judgment aggregation has obtained important generalizations of both Arrow's Theorem (List and Pettit 2003 …
Persistent link: https://www.econbiz.de/10003818219
preference and judgment aggregation theory which show that the aggregate of several probability measures should not be conceived … desiderata even for infinite electorates. On the basis of the theory of propositional-attitude aggregation, we argue that this is … the most natural aggregation theory for probability measures. Our aggregation functionals for the case of infinite …
Persistent link: https://www.econbiz.de/10010234048
Judgment (or logical) aggregation theory is logically more powerful than social choice theory and has been put to use … aggregation theory developed by Dokow and Holzman (2010c). This application involves aggregating classifications (specifically … aggregation theory to a more general one …
Persistent link: https://www.econbiz.de/10010501384
The relationship between propositional model theory and social decision making via premise-based procedures is explored …-respecting, systematic judgment aggregation functions is established. The proof constructs an ultraproduct of profiles, viewed as … other properties of such judgment aggregation functions, in particular sovereignty and monotonicity, as well as an …
Persistent link: https://www.econbiz.de/10003818237
emerging social choice theory -, two conflicting ways of dealing with mathematical tools in welfare economics and, above all …
Persistent link: https://www.econbiz.de/10011610213
and argue that instead utilitarian, i.e. cardinal social choice theory is relevant for voting. I show that justifications …
Persistent link: https://www.econbiz.de/10010440432
The problem of social choice is studied on a domain with countably many individuals. In contrast to most of the existing literature which establish either non-constructive possibilities or approximate (i.e. invisible) dictators, we show that if one adds a continuity property to the usual set of...
Persistent link: https://www.econbiz.de/10011967421