On the existence of maximal elements: An impossibility theorem
Game Theory and Information from University Library of Munich, Germany
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)
Note: Type of Document - pdf; pages: 7
References: View references in EconPapers View complete reference list from CitEc
Citations View citations in EconPapers (2) Track citations by RSS feed
Downloads: (external link)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpga:0509004
Access Statistics for this paper
More papers in Game Theory and Information from University Library of Munich, Germany
Bibliographic data for series maintained by EconWPA ().