Solving Transition-Independent Multi-agent MDPs with Sparse Interactions (Extended version)



Scharpff, Joris, Roijers, Diederik M, Oliehoek, Frans A ORCID: 0000-0003-4372-5055, Spaan, Matthijs TJ and Weerdt, Mathijs M de
(2015) Solving Transition-Independent Multi-agent MDPs with Sparse Interactions (Extended version). CoRR, abs/15.

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Abstract

In cooperative multi-agent sequential decision making under uncertainty, agents must coordinate to find an optimal joint policy that maximises joint value. Typical algorithms exploit additive structure in the value function, but in the fully-observable multi-agent MDP setting (MMDP) such structure is not present. We propose a new optimal solver for transition-independent MMDPs, in which agents can only affect their own state but their reward depends on joint transitions. We represent these dependencies compactly in conditional return graphs (CRGs). Using CRGs the value of a joint policy and the bounds on partially specified joint policies can be efficiently computed. We propose CoRe, a novel branch-and-bound policy search algorithm building on CRGs. CoRe typically requires less runtime than the available alternatives and finds solutions to problems previously unsolvable.

Item Type: Article
Additional Information: This article is an extended version of the paper that was published under the same title in the Proceedings of the Thirtieth AAAI Conference on Artificial Intelligence (AAAI16), held in Phoenix, Arizona USA on February 12-17, 2016
Uncontrolled Keywords: cs.AI, cs.AI, cs.MA
Depositing User: Symplectic Admin
Date Deposited: 08 Apr 2016 11:09
Last Modified: 17 Dec 2022 02:58
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3000361