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Strategy investments in zero-sum games
Raul Garcia1, Seyedmohammadhossein Hosseinian2, Mallesh Pai3
1Department of Computational Applied Mathematics and Operations Research, Rice University, Houston, TX 77005 USA.
None:
We propose an extension of two-player zero-sum games, where one player may select available actions for themselves and the opponent, subject to a budget constraint. We present a mixed-integer linear programming (MILP) formulation for the problem, provide analytical results regarding its solution, and discuss applications in the security and advertising domains. Our computational experiments demonstrate that heuristic approaches, on average, yield suboptimal solutions with at least a 20% relative gap with those obtained by the MILP formulation.
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