This paper studies the existence of some known equilibrium solution concepts in a large class of economic models with discontinuous payo functions. The issue is well understood for Nash equilibria, thanks to Reny's better-reply security condition [34], and its recent improvements [3, 25, 35,...

We consider a setting in which two potential buyers, one with a prior toehold and one without, compete in a takeover modeled as an ascending auction with participating costs. The toeholder is more aggressive during the takeover process because she is also a seller of her own shares. The...