Generalized Ultraproduct and Kirman-Sondermann Correspondence for Vote Abstention

DOI10.1007/978-3-662-48561-3_3zbMath1471.03064OpenAlexW2255212654MaRDI QIDQ3457684

Alessandra Palmigiano, Geghard Bedrosian, Zhiguang Zhao

Publication date: 17 December 2015

Published in: Logic, Rationality, and Interaction (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-662-48561-3_3

zbMATH Keywords

model theorysocial choiceultrafiltergeneralized ultraproductKirman-Sonderman correspondencevote abstention

Mathematics Subject Classification ID

Social choice (91B14) Ultraproducts and related constructions (03C20) Applications of model theory (03C98)

Related Items (3)

Infinite populations, choice and determinacy ⋮ Generalized Ultraproduct and Kirman-Sondermann Correspondence for Vote Abstention ⋮ An Abstract Algebraic Logic View on Judgment Aggregation

Cites Work

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• Variable-population voting rules
• The model-theoretic approach to aggregation: impossibility results for finite and infinite electorates
• The categorical approach to social choice theory
• May's theorem with an infinite population
• Ultraproducts and aggregation
• The Problem of Judgment Aggregation in the Framework of Boolean-Valued Models
• Generalized Ultraproduct and Kirman-Sondermann Correspondence for Vote Abstention
• An Abstract Algebraic Logic View on Judgment Aggregation
• Universal algebra for general aggregation theory: Many-valued propositional-attitude aggregators as MV-homomorphisms

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