On the existence of maximal elements: An impossibility theorem
Game Theory and Information from EconWPA
Most properties of binary relations considered in the decision literature can be expressed as the impossibility of certain ``configurations.'' There exists no condition of this form which would hold for a binary relation on a subset of a finite-dimensional Euclidean space if and only if the relation admits a maximal element on every nonempty compact subset of its domain.
Keywords: Binary relation; Maximal element; Necessary and sufficient condition; Potential games (search for similar items in EconPapers)
JEL-codes: D70 (search for similar items in EconPapers)
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