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This article proves a very general version of the Kirman-Sondermann [Journal of Economic Theory, 5(2):267-277, 1972 … social structure they induce, based on first-order predicate logic and model theory. Thereafter, aggregators satisfying Arrow …-type preference aggregation ; Judgment aggregation ; Systematicity ; Model theory ; First-order predicate logic ; Filter ; Ultrafilter …
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Domains of individual preferences for which the well-known impossibility Theorems of Gibbard-Satterthwaite and Muller-Satterthwaite do not hold are studied. First, we introduce necessary and sufficient conditions for a domain to admit non-dictatorial, Pareto efficient and either strategy-proof...
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