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- Title
Computational Efficiency in Multivariate Adversarial Risk Analysis Models.
- Authors
Perry, Michael; El-Amine, Hadi
- Abstract
In this paper, we address the computational feasibility of the class of decision theoretic models referred to as adversarial risk analyses (ARAs). These are models where a decision must be made with consideration for how an intelligent adversary may behave and where the decision-making process of the adversary is unknown and is elicited by analyzing the adversary's decision problem using priors on his utility function and beliefs. Themotivation of this researchwas todevelop a computational algorithm that can be applied across a broad range of ARA models; to the best of our knowledge, no such algorithm currently exists. Using a two-person sequential model, we incrementally increase the size of the model and develop a simulation-based approximation of the true optimum where an exact solution is computationally impractical. In particular, we begin with a relatively large decision space by considering a theoretically continuous space thatmust be discretized. Then, we incrementally increase the number of strategic objectives, which causes the decision space to grow exponentially. The problem is exacerbated by the presence of an intelligent adversary who also must solve an exponentially large decision problem according to some unknown decision-making process. Nevertheless, using a stylized example that can be solved analytically, we show that our algorithm not only solves large ARA models quickly but also accurately selects to the true optimal solution. Furthermore, the algorithm is sufficiently general that it can be applied to any ARA model with a large, yet finite, decision space.
- Subjects
RISK assessment; STATISTICAL decision making; UTILITY functions
- Publication
Decision Analysis, 2019, Vol 16, Issue 4, p314
- ISSN
1545-8490
- Publication type
Article
- DOI
10.1287/deca.2019.0394