Designing the game to play: Optimizing payoff structure in security games

Shi, Zheyuan Ryan, Tang, Ziye, Tran-Thanh, Long, Singh, Rohit and Fang, Fei (2018) Designing the game to play: Optimizing payoff structure in security games. In Proceedings of the 27th International Joint Conference on Artificial Intelligence, IJCAI 2018. vol. 2018-July, International Joint Conferences on Artificial Intelligence. pp. 512-518 .

Record type: Conference or Workshop Item (Paper)

Abstract

We study Stackelberg Security Games where the defender, in addition to allocating defensive resources to protect targets from the attacker, can strategically manipulate the attacker's payoff under budget constraints in weighted L^p-norm form regarding the amount of change. For the case of weighted L¹-norm constraint, we present (i) a mixed integer linear program-based algorithm with approximation guarantee; (ii) a branch-and-bound based algorithm with improved efficiency achieved by effective pruning; (iii) a polynomial time approximation scheme for a special but practical class of problems. In addition, we show that problems under budget constraints in L⁰ and weighted L^∞norm form can be solved in polynomial time.

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