Article ID Journal Published Year Pages File Type
972899 Mathematical Social Sciences 2012 7 Pages PDF
Abstract
► We use model theory for the analysis of abstract aggregation problems. ► The ultraproduct construction corresponds to Arrovian aggregation rules. ► In the finite case, dictatorship follows from the principality of the ultrafilter. ► In the infinite case, another source of impossibility is studied.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
The model-theoretic approach to aggregation: Impossibility results for finite and infinite electorates
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