Papers › Extended Markov Games to Learn Multiple Tasks in Multi-Agent Reinforcement Learning

Extended Markov Games to Learn Multiple Tasks in Multi-Agent Reinforcement Learning

14 Feb 2020arXiv:2002.06000archive 2025-07-28

Borja G. León, Francesco Belardinelli

The combination of Formal Methods with Reinforcement Learning (RL) has recently attracted interest as a way for single-agent RL to learn multiple-task specifications. In this paper we extend this convergence to multi-agent settings and formally define Extended Markov Games as a general mathematical model that allows multiple RL agents to concurrently learn various non-Markovian specifications. To introduce this new model we provide formal definitions and proofs as well as empirical tests of RL algorithms running on this framework. Specifically, we use our model to train two different logic-based multi-agent RL algorithms to solve diverse settings of non-Markovian co-safe LTL specifications.

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Multi-agent Reinforcement LearningReinforcement LearningReinforcement Learning (RL)reinforcement-learning

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