Impossibility results for infinite-electorate abstract aggregation rules

DOI10.1007/s10992-011-9203-5zbMath1237.91092OpenAlexW2075963826WikidataQ57542984 ScholiaQ57542984MaRDI QIDQ421345

Daniel Eckert, Frederik S. Herzberg

Publication date: 23 May 2012

Published in: Journal of Philosophical Logic (Search for Journal in Brave)

Full work available at URL: https://pub.uni-bielefeld.de/record/2675193

zbMATH Keywords

first-order predicate logicmodel theoryultraproductfilterultrafilterjudgment aggregationreduced productArrow-type preference aggregationexistential quantifier

Mathematics Subject Classification ID

Social choice (91B14)

Related Items (6)

Arrovian aggregation of generalised expected-utility preferences: (im)possibility results by means of model theory ⋮ Infinite populations, choice and determinacy ⋮ An Abstract Algebraic Logic View on Judgment Aggregation ⋮ First-order logic formalisation of impossibility theorems in preference aggregation ⋮ The model-theoretic approach to aggregation: impossibility results for finite and infinite electorates ⋮ Aggregating infinitely many probability measures

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• Arrow's theorem in judgment aggregation
• The pre-history of Kenneth Arrow's social choice and individual values
• First-Order Logic Formalisation of Arrow’s Theorem
• The Single Profile Analogues to Multi Profile Theorems: Mathematical Logic's Approach

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