The present research is motivated by the recent results of Jeanblanc and Song (2011) [10,11]. Our aim is to demonstrate, with the help of multiplicative systems introduced in Meyer (1979) [21], that for any given positive F-submartingale F such that F∞=1, there exists a random time τ on some...

We examine the connections between a novel class of multi-person stopping games with redistribution of payoffs and multi-dimensional reflected BSDEs in discrete- and continuous-time frameworks. Our goal is to provide an essential extension of classic results for two-player stopping games (Dynkin...

The problem of non-confluence and strong comparison of solutions of one-dimensional Itô stochastic differential equations is studied. Sufficient conditions which guarantee these properties in the case of non-degenerate diffusion coefficient are given. In the case of possibly degenerate...