This essay considers a strong refinement of the sequential equilibrium
concept, the Never-a-Weak-Best-Response test, and identifies conditio
ns under which the limit of the equilibrium outcomes of finite approxi
mating games is an equilibrium outcome of the limit infinite game. As
a consequence of this result, the existence of equilibria in a class o
f infinite signaling games is established. Since equilibria satisfying
the Never-a-Weak-Best-Response test also satisfy various other refine
ments, e.g., the Intuitive Criterion and the Universal Divinity test,
the existence results in this essay hold for those refinements as well
. Journal of Economic Literature Classification Numbers: C72, D82. (C)
1997 Academic Press.