A note on the one-deviation property in extensive form games (Q1864819)

The main aim of this research note is to establish and apply a characterization of the phenomenon that a stream of locally optimal decisions represents a globally optimal decisions stream, named as the one-deviation property or the one-shot deviation principle, under the appropriate weakening of preconsistency represented by the updating consistency. The result which characterizes the assessments which satisfy the one-deviation property is applied also in the context of the updating systems. The significant references suggest the corresponding extension to the equilibria of the dynamical systems.