The holographic principle for the differential game of active target defence.

We examine the Target–Attacker–Defender (TAD) pursuit-evasion game. This is a two team, zero-sum differential game consisting of the aforementioned three agents obeying simple motion. The game terminates at the first time t f when the Attacker achieves point capture of either the Target or Defender. The Attacker chases the Target in such a manner as to minimise the distance between itself and the Target, minus the distance between itself and the Defender at termination time; and the Target and Defender work as a team to achieve the exact opposite goal. This paper introduces and verifies the most elegant characterisation of the state-feedback Nash equilibrium. Whereas previous methods in the literature segregated the state space into at least three separate regions, we introduce a new unifying paradigm given by the Holographic Principle, and conjecture that this principle is more broadly applicable to a large class of simple motion pursuit-evasion games. [ABSTRACT FROM AUTHOR]