Article citationsMore>>

K. Border, “Fixed Point Theorems with Applications to Economics and Game Theory,” Cambridge University Press, Cambridge, 1985. doi:10.1017/CBO9780511625756

has been cited by the following article:

• TITLE: The Open Graph Theorem for Correspondences: A New Proof and Some Applications

  AUTHORS: Galeazzo Impicciatore, Francesco Ruscitti

  KEYWORDS: Open Graph Theorem; Lower Hemicontinuity; Constant Selections; Fixed Points; Support of a Measure

  JOURNAL NAME: Theoretical Economics Letters, Vol.2 No.3, August 2, 2012

  ABSTRACT: It is known that a correspondence from a topological space to a Euclidean space, with open and convex upper sections, has an open graph if and only if it is lower hemicontinuous. We refer to this result as the open graph theorem. We provide a new and simple proof of the open graph theorem. We also show that the open graph theorem leads to novel results on the existence of constant selections and fixed points for correspondences with non-compact and non-convex domain. Finally, we present an economic application of our results to a principal-agent model.