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A Unified Game-Theoretic Approach to Multiagent Reinforcement Learning (1711.00832v2)

Published 2 Nov 2017 in cs.AI, cs.GT, cs.LG, and cs.MA

Abstract: To achieve general intelligence, agents must learn how to interact with others in a shared environment: this is the challenge of multiagent reinforcement learning (MARL). The simplest form is independent reinforcement learning (InRL), where each agent treats its experience as part of its (non-stationary) environment. In this paper, we first observe that policies learned using InRL can overfit to the other agents' policies during training, failing to sufficiently generalize during execution. We introduce a new metric, joint-policy correlation, to quantify this effect. We describe an algorithm for general MARL, based on approximate best responses to mixtures of policies generated using deep reinforcement learning, and empirical game-theoretic analysis to compute meta-strategies for policy selection. The algorithm generalizes previous ones such as InRL, iterated best response, double oracle, and fictitious play. Then, we present a scalable implementation which reduces the memory requirement using decoupled meta-solvers. Finally, we demonstrate the generality of the resulting policies in two partially observable settings: gridworld coordination games and poker.

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Authors (8)
  1. Marc Lanctot (60 papers)
  2. Vinicius Zambaldi (13 papers)
  3. Audrunas Gruslys (10 papers)
  4. Angeliki Lazaridou (34 papers)
  5. Karl Tuyls (58 papers)
  6. Julien Perolat (37 papers)
  7. David Silver (67 papers)
  8. Thore Graepel (48 papers)
Citations (601)

Summary

  • The paper introduces a novel MARL algorithm that unifies traditional methods using approximate best responses and empirical game-theoretic analysis.
  • It applies a joint-policy correlation metric to quantify and reduce overfitting, demonstrating improved policy generalization in gridworld and poker domains.
  • The scalable framework decouples meta-solvers to lower memory demands, paving the way for robust AI in complex multiagent environments.

Overview of Multiagent Reinforcement Learning Approaches

The paper, "A Unified Game-Theoretic Approach to Multiagent Reinforcement Learning" by Lanctot et al., explores innovative methodologies in multiagent reinforcement learning (MARL) through a game-theoretic lens. It highlights the inherent challenges and proposes solutions to enhance policy generalization in shared environments involving multiple agents.

Core Challenges in MARL

MARL necessitates agents to adapt their policies dynamically in response to other learning agents within the environment. Traditional approaches like Independent Reinforcement Learning (InRL) suffer from overfitting to the agents' policies observed during training, thus hindering generalization in diverse and unseen scenarios. This limitation is quantitatively assessed via the newly introduced metric, joint-policy correlation, which measures the degree of policy overfitting.

A Game-Theoretic Solution

The authors propose a novel MARL algorithm based on approximate best responses and empirical game-theoretic analysis. This approach allows the computation of meta-strategies for policy selection across agents, enabling a unification of existing methods like InRL, iterated best response, and fictitious play under a common framework. By leveraging deep reinforcement learning, the method can approximate best responses to mixtures of policies and employs game-theoretic techniques to adjust these responses dynamically.

Implementation and Scalability

To address computational intensity, the implementation decouples meta-solvers, effectively reducing memory requirements. This is particularly significant in scaling the approach to real-world applications, mitigating issues like the "curse of dimensionality" in extensive-form games where the state space grows exponentially.

Empirical Evaluation

The generality and efficacy of the proposed approach are demonstrated across two domains: partially observable gridworld coordination games and poker. The results indicate significant improvements in policy generalization, reducing instances of overfitting and, by extension, enabling more robust decision-making in novel situations.

Theoretical and Practical Implications

Theoretically, this research offers a comprehensive framework integrating deep learning with classical game-theoretic concepts, paving the way for more rigorous analysis of strategic interactions among learning agents. Practically, these insights facilitate the development of AI systems capable of operating in complex, multiagent environments with higher degrees of uncertainty and adversarial conditions.

Future Directions

Looking forward, further exploration might involve enhancing policy diversity through advanced mechanisms for policy dissimilarity exploration, optimizing computational frameworks for faster adaptation, and applying these techniques in domains requiring intricate coordination and communication among agents, such as real-time strategy games or autonomous vehicle coordination.

Overall, the paper presents a substantial step in addressing the gaps in MARL by coupling modern deep learning techniques with empirical and theoretical insights from game theory, offering a robust path forward in the evolution of intelligent multiagent systems.