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Optimally Solving Simultaneous-Move Dec-POMDPs: The Sequential Central Planning Approach

AAAI 2025 · Multi-agent systems and games › Cooperative multi-agent RL · approach: Decentralized actor-critic MARL · 1 citations (OpenAlex)

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Proposes sequential-move centralized training for decentralized execution, reducing simultaneous-move Dec-POMDPs to sequential-move ones so that backups drop from double exponential to polynomial, and adapts oSARSA accordingly.

Problem

Optimally (epsilon-optimally) solving simultaneous-move Dec-POMDPs is not scalable because simultaneous-move joint decision rule backups are double exponential in agents and time.

Approach

Reformulates the simultaneous-move Dec-POMDP as a sequential-move Dec-POMDP where a central planner selects one agent's private decision rule at a time, defines sequential occupancy states as sufficient statistics, proves piecewise linear convexity of value functions over them, and derives polynomial-time backups usable by oSARSA.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use sequential-move rather than simultaneous-move central planning in oSARSAoSARSA · boxpushing, 2 agents, ℓ=100value: 1895.16 -> 2366.21Helped
Use sequential-move rather than simultaneous-move central planning in oSARSAoSARSA · two-agent domains, except recycling and mabcvalueHelped
Use sequential-move rather than simultaneous-move central planning in oSARSAoSARSA · recycling and mabc, two-agent domainsvalueNo clear effect
Use sequential-move rather than simultaneous-move central planning in oSARSAoSARSA · many-agent domainsvalueHelped

Surprising findings

Limitations

Experimental setup

Datasets: mabc recycling grid3x3 boxpushing mars tiger gridsmall

Benchmarks: mabc recycling grid3x3 boxpushing mars tiger gridsmall

Metrics: expected cumulative discounted reward

Baselines: oSARSA-sim FB-HSVI A2C IQL

Builds on: oSARSA simultaneous-move occupancy states (oMDP) FB-HSVI

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