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Assume-Guarantee Reinforcement Learning

AAAI 2024 · Reinforcement learning › Visual and representation RL · approach: In-context and adaptive RL · 5 citations (OpenAlex)

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Proposes assume-guarantee reinforcement learning for networks of MDPs, solving local two-player Markov games (minimax-Q) per component whose values lower-bound the global DFA-specification satisfaction probability.

Problem

Synthesizing distributed controllers for networks of parallel MDP components with limited or no communication is computationally hard (undecidable for infinite horizons, NP-hard for fixed horizons), and monolithic RL over the joint system is prohibitively large.

Approach

Each component's controller is learned locally as a Markov game against an adversarial environment that makes worst-case assumptions about neighbors' DFA-labeled behavior; the product of local satisfaction values gives a provable lower bound on global satisfaction, and minimax-Q (deep variant) computes the local policies.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
learn policies with Minimax-Q or deep Minimax-QAssume-Guarantee RL · Multi-Agent Grid Worldsatisfaction probabilityHelped

Limitations

Experimental setup

Benchmarks: multi-agent grid world room temperature control traffic lights control (3x3 grid)

Metrics: probability of satisfaction (Monte-Carlo estimate with 95% c

Baselines: independent Q-learning no-communication policies

Builds on: minimax-Q learning Q-learning deep minimax-Q learning

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