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Electrical and Computer Engineering

Browse all Theses and Dissertations

2017

Game theory

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An Engage Or Retreat Differential Game With Two Targets, Bikash Shrestha Jan 2017

An Engage Or Retreat Differential Game With Two Targets, Bikash Shrestha

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This thesis develops the equilibrium solution for a two-target engage or retreat differential game. In this game, the attacking player is modeled as a massless particle moving with simple motion about an infinite, obstacle-free plane. The opposing player, referred to as the defender, is tasked with the protection of two high-value targets. The mobile attacker must choose to either engage one of the high-value targets or retreat across a predefined boundary. Simultaneously, the defensive player must choose whether to minimize or maximize the attacker's integral utility in an effort to persuade the attacker to choose retreat from certain initial conditions. …


An Engage Or Retreat Differential Game With Mobile Agents, Swathi Chandrasekar Jan 2017

An Engage Or Retreat Differential Game With Mobile Agents, Swathi Chandrasekar

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The thesis is aimed at developing optimal defensive strategies that dissuade an attacker from engaging a defender while simultaneously persuading the attacker to retreat. A two-player Engage or Retreat differential game is developed in which one player represents a mobile attacker and the other player represents a mobile defender. Both players are modeled as massless particles moving with constant velocity. The choice to terminate the game in engagement or retreat lies with the attacker. The defender indirectly influences the choice of the attacker by manipulating the latter's utility function. In other words, the defender co-operates with the attacker so that …