Speaker: Giorgio Ferrari, Universitat Bielefeld
ABSTRACT: In this talk I present a new connection between a class of 2-player nonzero-sum games of optimal stopping and certain 2-player nonzero-sum games of singular control. I show that whenever a Nash equilibrium in the game of stopping is attained by hitting times at two separate boundaries, then such boundaries also trigger a Nash equilibrium in the game of singular control. Moreover a differential link between the players' value functions holds across the two games. An application to a problem of pollution control is finally discussed. The talk is based on a joint work with Tiziano De Angelis (The University of Leeds).
Link al paper - https://arxiv.org/abs/1508.03989