•   •   •   •

This paper was never published. I think too many people were writing about existence of c.e. relative to the number who were reading about it.

Download the Paper (467 K, PDF file) - August 10, 1975 Tell a colleague about it. Printing Tips: Select 'print as image' in the Acrobat print dialog if you have trouble printing.

ABSTRACT:
This paper generalizes results of Ky Fan and Hugo Sonnenschein on the existence of maximal elements for non-transitive binary relations. It proves a generalization of Nash's theorem on the existence of non-cooperative equilibrium. It also shows that existence of competitive equilibrium can be proved as a consequence of the existence of a maximal element for an appropriately chosen binary relation.

SUGGESTED CITATION:
Ted Bergstrom, "The Existence of Maximal Elements and Equilibria in the Absence of Transitivity" (August 10, 1975). Department of Economics, UCSB. Ted Bergstrom. Paper 1975C.
http://repositories.cdlib.org/ucsbecon/bergstrom/1975C