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arXiv · 1905.07162

Non-signaling Approximations of Stochastic Team Problems

Naci Saldi·Can Deha Karıksız·Maxim Raginsky·Eric Chitambar
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Abstract

In this paper, we consider non-signaling approximation of finite stochastic teams. We first introduce a hierarchy of team decision rules that can be classified in an increasing order as randomized policies, quantum-correlated policies, and non-signaling policies. Then, we establish an approximation of team-optimal policies for sequential teams via extendible non-signaling policies. We prove that the distance between extendible non-signaling policies and decentralized policies is small if the extension is sufficiently large. Using this result, we establish a linear programming (LP) approximation of sequential teams. Finally, we state an open problem regarding computation of optimal value of quantum-correlated policies.

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Naci Saldi, Can Deha Karıksız, Maxim Raginsky, Eric Chitambar. 2019-05-17. Non-signaling Approximations of Stochastic Team Problems. https://arxiv.org/abs/1905.07162

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