We study solution concepts for economic games that are resistant to local d
eviations. Strategy spaces are subsets of R-l and local deviations are smal
l in the Euclidean metric. We define local Nash equilibrium and local evolu
tionarily stable strategy, and present applications to Walrasian outcomes i
n Cournot games and separating outcomes in screening models. (C) 2001 Elsev
ier Science B.V. All rights reserved.