Dynamics and Stability under Iterated Sanctions and Counter-sanctions

In the paper a simple discrete dynamical model for dynamics of two antagonistic agents (opponents) under iterated sanctions and counter-sanctions is proposed. The model is inspired with Osipov-Lanchester model for combats. Simple stability criteria are derived both for the full information case and for stochastic uncertainty case. The results provide some important qualitative conclusions that are interpreted in terms of international stability preservation.