5 papers
Order-theoretical fixed point theorems for correspondences and application in game theory
Lu Yu
For an ascending correspondence with chain-complete values on a complete lattice , we prove that the set of fixed points is a complete lattice. This strengthens Zho…
Generalization of Zhou fixed point theorem
Lu Yu
We give two generalizations of the Zhou fixed point theorem. They weaken the subcompleteness condition of values, and relax the ascending condition of the correspondence. As an app…
Nash equilibria of games with generalized complementarities
Lu Yu
To generalize complementarities for games, we introduce some conditions weaker than quasisupermodularity and the single crossing property. We prove that the Nash equilibria of a ga…
Nash equilibria of quasisupermodular games
Lu Yu
We prove three results on the existence and structure of Nash equilibria for quasisupermodular games. A theorem is purely order-theoretic, and the other two involve topological hyp…
Existence and structure of Nash equilibria for supermodular games
Lu Yu
Two theorems announced by Topkis about the topological description of sublattices are proved. They are applied to extend some classical results concerning the existence and the ord…