Optimal stopping for a particular family of stopping points in the plane

Abstract

In this paper we construct a solution of the optimal stopping problem for discrete two-parameter stochastic processes, with respect to three particular families of stopping points, for example, the family {R stopping point, Z , S R S Z , } with Z , , Z , being two stopping points, such that Z , s Z , .KEY WORDS: Optimal stopping point, optional increasing path, past of a stopping point, infimum of two stopping points.