Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Filtered Fictitious Play for Perturbed Observation Potential Games and
  Decentralised POMDPs   Potential games and decentralised partially observable MDPs (Dec-POMDPs) are
two commonly used models of multi-agent interaction, for static optimisation
and sequential decisionmaking settings, respectively. In this paper we
introduce filtered fictitious play for solving repeated potential games in
which each player's observations of others' actions are perturbed by random
noise, and use this algorithm to construct an online learning method for
solving Dec-POMDPs. Specifically, we prove that noise in observations prevents
standard fictitious play from converging to Nash equilibrium in potential
games, which also makes fictitious play impractical for solving Dec-POMDPs. To
combat this, we derive filtered fictitious play, and provide conditions under
which it converges to a Nash equilibrium in potential games with noisy
observations. We then use filtered fictitious play to construct a solver for
Dec-POMDPs, and demonstrate our new algorithm's performance in a box pushing
problem. Our results show that we consistently outperform the state-of-the-art
Dec-POMDP solver by an average of 100% across the range of noise in the
observation function.

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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: math
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn