TY  - GEN
AB  - This article proves a very general version of the Kirman-Sondermann [Journal of Economic Theory, 5(2):267-277, 1972] correspondence by extending the methodology of Lauwers and Van Liedekerke [Journal of Mathematical Economics, 24(3):217-237, 1995]. The paper first proposes a unified framework for the analysis of the relation between various aggregation problems and the social structure they induce, based on first-order predicate logic and model theory. Thereafter, aggregators satisfying Arrow-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, whence a generalized Kirman-Sondermann correspondence as well as a dictatorial impossiblity result follow.
DA  - 2009
KW  - Systematicity
KW  - Arrow-type preference aggregation
KW  - Judgment aggregation
KW  - Ultrafilter
KW  - First-order predicate logic
KW  - Model theory
KW  - Filter
LA  - eng
PY  - 2009
SN  - 0931-6558
TI  - General aggregation problems and social structure: A model-theoretic generalisation of the Kirman-Sondermann correspondence
UR  - https://nbn-resolving.org/urn:nbn:de:0070-bipr-47725
Y2  - 2024-11-22T02:06:53
ER  -