Department of Economics and Department of Mathematics, University of California--Berkeley, Berkeley, California 94720
Abstract:
This paper provides a version of the transversality theorem for a class of Lipschitz functions of the form , where is a convex subset of a normed vector space indexing the parameters in the problem. The set may be infinite-dimensional, and the notion of generic used is the measure-theoretic notion of prevalence introduced by Hunt, Sauer and Yorke (1992) and Christensen (1974). This paper also provides some results on sensitivity analysis for solutions to locally Lipschitz equations.