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Orders on subsets rationalised by abstract convex geometries

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Publication:841164
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DOI10.1007/s11083-009-9121-0zbMath1180.91103OpenAlexW2133515193WikidataQ61586268 ScholiaQ61586268MaRDI QIDQ841164

Walter Bossert, Matthew J. Ryan, Arkadii M. Slinko

Publication date: 14 September 2009

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-009-9121-0


zbMATH Keywords

choice functionabstract convex geometrypath independent


Mathematics Subject Classification ID

Social choice (91B14)


Related Items (3)

Essentiality and convexity in the ranking of opportunity sets ⋮ A hyper-relation characterization of weak pseudo-rationalizability ⋮ Mixture sets on finite domains



Cites Work

  • A note on the extension of an order on a set to the power set
  • Extreme point axioms for closure spaces
  • The theory of convex geometries
  • Choice functions and abstract convex geometries
  • Rational choice and revealed preference without binariness
  • Mathematics of Plott choice functions
  • General theory of best variants choice: Some aspects
  • Path Independence, Rationality, and Social Choice


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