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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
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
-type preference aggregation ; Judgment aggregation ; Systematicity ; Model theory ; First-order predicate logic ; Filter ; Ultrafilter …This article proves a very general version of the Kirman-Sondermann [Journal of Economic Theory, 5(2):267-277, 1972 …]. The paper first proposes a unified framework for the analysis of the relation between various aggregation problems and the …
Persistent link: https://www.econbiz.de/10003921381
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 … desiderata even for infinite electorates. On the basis of the theory of propositional-attitude aggregation, we argue that this is …
Persistent link: https://www.econbiz.de/10010234048
This chapter briefly reviews the present state of judgment aggregation theory and tentatively suggests a future … aggregation theory lies with its applications rather than its internal theoretical development … direction for that theory. In the review, we start by emphasizing the difference between the doctrinal paradox and the …
Persistent link: https://www.econbiz.de/10012120711
rights. Dietrich and List (2008) have generalised this result to the setting of binary judgement aggregation. This paper … proves that the liberal paradox holds even in the framework of probabilistic opinion pooling and discusses options to …
Persistent link: https://www.econbiz.de/10010366140
In a world admitting a fixed finite set of alternatives, an opinion is an orderedpair of alternatives. Such a pair … expresses the idea that one alternative is superior toanother in some sense, and an opinion aggregator assigns a social relation … of social choice theory to a more general model in which no specificreference to agents generating or holding opinions is …
Persistent link: https://www.econbiz.de/10013225775
Persistent link: https://www.econbiz.de/10003803320
This paper continues Dietrich and List's [2010] work on propositional-attitude aggregation theory, which is a … generalised unification of the judgment-aggregation and probabilistic opinion-pooling literatures. We first propose an algebraic … framework for an analysis of (many-valued) propositional-attitude aggregation problems. Then we shall show that systematic …
Persistent link: https://www.econbiz.de/10010319999