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 ₁≤R≤Z ₂} with Z ₁,Z ₂ being two stopping points, such that Z ₁≤Z ₂.

Keywords:

• Optimal stopping point
• optional increasing path
• past of a stopping point
• infimum of two stopping points