Stability of Aggregation Procedures, Ultrafilters, and Simple Games

DOI10.2307/1913328zbMath0471.90014OpenAlexW3124089522MaRDI QIDQ3926313

Jean-Marie Blin, Pierre Batteau, Bernard Monjardet

Publication date: 1981

Published in: Econometrica (Search for Journal in Brave)

Full work available at URL: http://www.kellogg.northwestern.edu/research/math/papers/318.pdf

zbMATH Keywords

ultrafiltersimple gamessocial choice functionstrategy proofnessdominant strategiesdecisive coalitionblocking coalitionsnonmanipulabilitypreventing coalitionsincere profilesstability of aggregation procedures

Mathematics Subject Classification ID

Cooperative games (91A12) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Social choice (91B14)

Related Items (8)

Stable preference aggregation with infinite population ⋮ Strategic equilibria and decisive set structures for social choice mechanisms ⋮ Quasi-decisiveness, quasi-ultrafilter, and social quasi-orderings ⋮ Arrow-type results under fuzzy preferences based on filter and ultrafilter ⋮ Type two computability of social choice functions and the Gibbard-Satterthwaite theorem in an infinite society ⋮ The Gibbard-Satterthwaite theorem of social choice theory in an infinite society and LPO (limited principle of omniscience) ⋮ Ultraproducts and aggregation ⋮ Strategy-proof voting schemes with continuous preferences

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