The Lady, the Bandits and the Body-Guards - a two team dynamic game

A two team dynamic game, the Lady and the Body-Guards versus the Bandits is defined. The Bandits' team objective is to capture the Lady while the Lady and her Body-Guards objective is to prevent it. The Body-Guards are trying to intercept the Bandits prior to their arrival to the proximity of the Lady. An approach to formulation and solution of the game is presented. The approach to the solution is based on the Multiple Objective Optimization and Differential Games theories. The approach to the solution is demonstrated for linear system and quadratic criterion. Closed loop Noninferior Nash equilibrium solution in linear strategies for specific game policy is derived for the players of the two teams. A simple example demonstrates the result.