  In this paper we extend the framework of evolutionary inspection game put
forward recently by the author and coworkers to a large class of conflict
interactions dealing with the pressure executed by the major player (or
principal) on the large group of small players that can resist this pressure or
collaborate with the major player. We prove rigorous results on the convergence
of various Markov decision models of interacting small agents (including
evolutionary growth), namely pairwise, in groups and by coalition formation, to
a deterministic evolution on the distributions of the state spaces of small
players paying main attention to situations with an infinite state-space of
small players. We supply rather precise rates of convergence. The theoretical
results of the paper are applied to the analysis of the processes of
inspection, corruption, cyber-security, counter-terrorism, banks and firms
merging, strategically enhanced preferential attachment and many other.
