This paper addresses the optimal control of multiple (linear) agents in the presence of a set of adversary constraints which makes the convergence towards the "zero" relative position an infeasible task. By consequence, this fixed point of the relative dynamics is replaced by a set of fixed points with different basin of attraction or even by limit cycles. The present analysis is based on the existence of an optimum control law over a receding horizon with one step ahead constraint. The feasible explicit solution in terms of a piecewise affine control law is analyzed in order to characterize the limit behavior of an agent.