This paper considers a missile guidance problem where an aircraft target that is being engaged by an attacking missile fires a defending missile against the attacker and itself performs a manoeuvre to escape the attacking missile. In order to engage the aircraft, the attacking missile performs, both, an evasive manoeuvre to defeat (evade) the defending missile and an intercept manoeuvre to engage the aircraft target. A 3-party game theoretic approach is proposed that utilizes a linear quadratic performance index optimization technique to obtain guidance strategies for the parties; these are used in a 3-D engagement kinematics model simulation, to study the characteristics of the resulting intercept and evasion strategies. Simple (rule based) AI techniques are also utilized to implement additional manoeuvres to enable the parties to enhance their evasion/survival or, in the case of the attacker to achieve intercept.
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