TY - GEN AB - Cerreia-Vioglio, Ghirardato, Maccheroni, Marinacci and Siniscalchi (Economic Theory, 48:341–375, 2011) have recently proposed a very general axiomatisation of preferences in the presence of ambiguity, viz. Monotonic Bernoullian Archimedean (MBA) preference orderings. This paper investigates the problem of Arrovian aggregation of such preferences — and proves dictatorial impossibility results for both finite and infinite populations. Applications for the special case of aggregating expected-utility preferences are given. A novel proof methodology for special aggregation problems, based on model theory (in the sense of mathematical logic), is employed. DA - 2013 KW - impossibility result KW - Arrow’s theorem KW - ultrafilter KW - Arrovian social choice KW - Knightian uncertainty KW - expectedutility KW - ambiguity KW - Monotonic Bernoullian Archimedean (MBA) preferences KW - ultraproduct LA - eng PY - 2013 SN - 0931-6558 TI - Aggregation of Monotonic Bernoullian Archimedean preferences: Arrovian impossibility results UR - https://nbn-resolving.org/urn:nbn:de:0070-pub-26752337 Y2 - 2024-12-25T17:44:20 ER -