On the topological equivalence of the Arrow impossibility theorem and Amartya Sen's liberal paradox

DOI10.1016/j.amc.2006.02.035zbMath1179.91071OpenAlexW2132673748MaRDI QIDQ856151

Yasuhito Tanaka

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.035

zbMATH Keywords

simplicial complexeshomomorphismshomology groupsArrow impossibility theoremAmartya Sen's liberal paradoxsimplicial mappings

Mathematics Subject Classification ID

Social choice (91B14)

Related Items (1)

A topological approach to Wilson's impossibility theorem

Cites Work

• On fixed point theorems and social choice paradoxes
• Social choice and the topology of spaces of preferences
• The topological equivalence of the Pareto condition and the existence of a dictator
• Unifying impossibility theorems: A topological approach
• The Moebius strip and a social choice paradox
• Topological and discrete social choice: in a search of a theory
• Topological methods in social choice: an overview
• Homotopy properties of Pareto aggregation rules
• Topological social choice
• On the topological social choice model
• Topological manipulators form an ultrafilter
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