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Maximal elements for nontransitive binary relations

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Publication:374900
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DOI10.1016/0165-1765(84)90077-6zbMath1273.91178OpenAlexW2095561413MaRDI QIDQ374900

Ghanshyam B. Mehta

Publication date: 24 October 2013

Published in: Economics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-1765(84)90077-6



Mathematics Subject Classification ID

Utility theory (91B16) Fixed-point theorems (47H10)


Related Items (6)

Non-binary choice in a non-deterministic model ⋮ Fixed point theorems in CAT(0) spaces with applications ⋮ Duality in fixed point theory of multivalued mappings. Some applications in economics ⋮ Maximal elements over noncompact subsets of linear topological spaces ⋮ Existence and uniqueness of maximal elements for preference relations: variational approach ⋮ Mixed choice structures, with applications to binary and non-binary optimization



Cites Work

  • A generalization of Tychonoff's fixed point theorem
  • Equilibria in markets with a Riesz space of commodities
  • An equilibrium existence theorem for a general model without ordered preferences
  • The fixed point theory of multi-valued mappings in topological vector spaces
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