Solving Multi-agent MDPs Optimally with Conditional Return Graphs



Scharpff, Joris, Roijers, Diederik M, Oliehoek, Frans ORCID: 0000-0003-4372-5055, Spaan, Matthijs TJ and De Weerdt, Matthijs
(2015) Solving Multi-agent MDPs Optimally with Conditional Return Graphs. In: The Tenth AAMAS Workshop on Multi-Agent Sequential Decision Making in Uncertain Domains (MSDM), Istanbul, Turkey.

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Abstract

In cooperative multi-agent sequential decision making under uncertainty, agents must coordinate in order find an optimal joint policy that maximises joint value. Typical solution al- gorithms 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 so-called TI-MMDPs, where agents can only af- fect their local state, while their value may depend on the state of others. We decompose the returns into local returns per agent that we represent compactly in a conditional re- turn graph (CRG). Using CRGs the value of a joint policy as well as bounds on the value of 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 avail- able alternatives and is able to find solutions to problems previously considered unsolvable.

Item Type: Conference or Workshop Item (Paper)
Subjects: ?? QA75 ??
Depositing User: Symplectic Admin
Date Deposited: 26 Nov 2015 09:20
Last Modified: 26 Apr 2022 10:33
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URI: https://livrepository.liverpool.ac.uk/id/eprint/2039199

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