The birth of social choice theory from the spirit of mathematical logic: Arrow's theorem in the framework of model theory

DOI10.1007/s11225-018-9794-8zbMath1477.03158OpenAlexW2336152802WikidataQ57542942 ScholiaQ57542942MaRDI QIDQ1615988

Daniel Eckert, Frederik S. Herzberg

Publication date: 31 October 2018

Published in: Studia Logica (Search for Journal in Brave)

Full work available at URL: http://www100.uni-graz.at/vwlwww/forschung/RePEc/wpaper/2016-04.pdf

zbMATH Keywords

Boolean algebrahomomorphismmodel theoryultraproductultrafilterArrow's theoremwinning coalition

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Social choice (91B14) Logical aspects of Boolean algebras (03G05) Ultraproducts and related constructions (03C20) Applications of model theory (03C98)

Cites Work

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• The Problem of Judgment Aggregation in the Framework of Boolean-Valued Models
• The Existence of Social Welfare Functions
• The Methodology of Scientific Research Programmes
• A Social Choice Interpretation of the Von Neumann-Morgenstern Game
• Judgment Aggregation

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