On the existence of monotone selections

Nikolai Kukushkin ()

MPRA Paper from University Library of Munich, Germany

Abstract: For a correspondence from a partially ordered set to a lattice, three sets of sufficient conditions for the existence of a monotone selection are obtained. (1) The correspondence is weakly ascending while each value is chain-complete. (2) The correspondence is ascending while the target is a sublattice of the Cartesian product of a finite number of chains. (3) Both source and target are chains while the correspondence is generated by the maximization of a strongly acyclic interval order with the single crossing property. The theorems give new sufficient conditions for the existence of (epsilon) Nash equilibria.

Keywords: Monotone selection; (weakly) ascending correspondence; interval order; single crossing; (epsilon) Nash equilibrium (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2009-04-03
New Economics Papers: this item is included in nep-gth
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Citations: View citations in EconPapers (2)

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