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On the existence of maximal elements: An impossibility theorem

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Publication:943834
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DOI10.1016/j.dam.2007.04.013zbMath1142.91406OpenAlexW2067043136MaRDI QIDQ943834

Nikolai S. Kukushkin

Publication date: 10 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.dam.2007.04.013

zbMATH Keywords

binary relationmaximal elementnecessary and sufficient conditionpotential game


Mathematics Subject Classification ID

Decision theory (91B06) Decision theory for games (91A35)


Related Items

Properties of a choice function generated by a binary relation on convex subsets, On the existence of optima in complete chains and lattices, Maximizing an interval order on compact subsets of its domain



Cites Work

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  • Maximal elements of weakly continuous relations
  • On the existence of maximal elements
  • Maximal elements of acyclic relations on compact sets
  • A general extension theorem for binary relations
  • Potential games
  • Potential games: A purely ordinal approach
  • The Existence of Choice Functions
  • On the Existence of Most-Preferred Alternatives
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