Substitutable choice functions and convex geometry

DOI10.1016/j.dam.2015.01.028zbMath1314.91093OpenAlexW1986440354MaRDI QIDQ2345620

Jugo Fuji

Publication date: 22 May 2015

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2015.01.028

zbMATH Keywords

choice functionantimatroidconvex geometrysubstitutability

Mathematics Subject Classification ID

Decision theory (91B06) Axiomatic and generalized convexity (52A01) Combinatorial aspects of matroids and geometric lattices (05B35)

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Cites Work

• The theory of convex geometries
• Choice functions and abstract convex geometries
• Mathematics of Plott choice functions
• Path Independence, Rationality, and Social Choice
• The duality between the anti-exchange closure operators and the path independent choice operators on a finite set
• Locally complete path independent choice functions and their lattices