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The centralized training for decentralized execution paradigm emerged as the state-of-the-art approach to $\epsilon$-optimally solving decentralized partially observable Markov decision processes. However, scalability remains a significant issue.
This paper presents a novel and more scalable alternative, namely the sequential-move centralized training for decentralized execution.
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-This paradigm further pushes the applicability of \citeauthor{bellman}'s principle of optimality, raising three new properties.
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First, it allows a central planner to reason upon sufficient sequential-move statistics instead of prior simultaneous-move ones.
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Next, it proves that $\epsilon$-optimal value functions are piecewise linear and convex in such sufficient sequential-move statistics.
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Finally, it drops the complexity of the backup operators from double exponential to polynomial at the expense of longer planning horizons.
-Besides, it makes it easy to use single-agent methods, \eg SARSA algorithm enhanced with these findings, while still preserving convergence guarantees.
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Experiments on two- as well as many-agent domains from the literature against $\epsilon$-optimal simultaneous-move solvers confirm the superiority of our novel approach.
This paradigm opens the door for efficient planning and reinforcement learning methods for multi-agent systems.