4 papers
A multi-player optimal stopping game based on a spider Brownian bridge
David Hobson, Jingfei Liu
This paper studies a multi-player non-zero-sum optimal stopping game driven by a spider Brownian bridge. We begin by analyzing the two-player setting, in which the underlying proce…
Model-independent upper bounds for the prices of Bermudan options with convex payoffs
David Hobson, Dominykas Norgilas
Suppose and are probability measures on satisfying . Let and be convex functions on with . We are inter…
Zero-sum Dynkin games under common and independent Poisson constraints
David Hobson, Gechun Liang, Edward Wang
Zero-sum Dynkin games under Poisson constraints, where players can only stop at the event times of a Poisson process, have been studied widely in the recent literature. The constra…
Optimal Stopping of a Brownian Excursion and an -dimensional Bessel Bridge
David Hobson, Jingfei Liu
We study the optimal stopping of an -dimensional Bessel bridge for the payoff , where . As a special case we consider the Brownian excursion with the identit…