Computing Minimax Strategy for Discretized Spatio-Temporal Zero-Sum Security Games


Haifeng Xu, Fei Fang, Albert Xin Jiang, Vincent Conitzer, Shaddin Dughmi, and Milind Tambe. 2014. “Computing Minimax Strategy for Discretized Spatio-Temporal Zero-Sum Security Games .” In International Joint Workshop on Optimization in Multi-Agent Systems and Distributed Constraint Reasoning (OPTMAS-DCR) In Conjunction with AAMAS 2014. Paris, France.


Among the many deployment areas of Stackelberg Security games, a major area involves games played out in space and time, which includes applications in multiple mobile defender resources protecting multiple mobile targets. Previous algorithms for such spatio-temporal security games fail to scale-up and little is known of the computational complexity properties of these problems. This paper provides a novel oracle-based algorithmic framework for a systematic study of different problem variants of computing optimal (minimax) strategies in spatio-temporal security games. Our framework enables efficient computation of a minimax strategy when the problem admits a polynomial-time oracle. Furthermore, for the cases in which efficient oracles are difficult to find, we propose approximations or prove hardness results.
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