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Exploiting Partial Observability for Optimal Deception

delete2022-01-01
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PRE
AI
M
Mustafa O. Karabag *
M
Melkior Ornik
U
Ufuk Topcu
DOI:10.1109/TAC.2022.3209959delete
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Abstract

Abstract

En 中文
Deception is a useful tool in situations where an agent operates in the presence of its adversaries. We consider a setting where a supervisor provides a reference policy to an agent, expects the agent to operate in an environment by following the reference policy, and partially observes the agent's behavior. The agent instead follows a different deceptive policy to achieve a different task. We model the environment with a Markov decision process and study the synthesis of optimal deceptive policies under partial observability. We formalize the notion of deception as a hypothesis testing problem and show that the synthesis of optimal deceptive policies is nondeterministic polynomial-time hard (NP-hard). As an approximation, we consider the class of mixture policies, which provides a convex optimization formulation of the deception problem. We give an algorithm that converges to the optimal mixture policy. We also consider a special class of Markov decision processes where the transition and observation functions are deterministic. For this case, we give a randomized algorithm for path planning that generates a path for the agent in polynomial time and achieves the optimal value for the considered objective function.
Keywords:
Index Terms-Computational complexity
deception under par-tial observations
Markov decision processes (MDPs)

Journal

IEEE Transactions on Automatic Control cover
IEEE Transactions on Automatic Control
IF:
7
Papers:
1.3W
Citations:
6.7W

Organization

U
University of Illinois Urbana-Champaign
Scholars:
2.4W
Papers: 2.0W
Citations: 35
U
university of texas austin
Scholars:
2.4W
Papers: 2.0W
Citations: 54
U
university of texas system
Scholars:
18.5W
Papers: 15.6W
Citations: 210
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