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Policy Mirror Ascent for Efficient and Independent Learning in Mean Field Games

ICML 2023 · Multi-agent systems and games › Games and equilibria · approach: Mean-field game learning · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use policy mirror ascent updates with TD value estimates instead of recomputing a best response at each iterationStationary MFG learning · N-player SAGSsample complexity: \widetilde{\mathcal{O}}(\varepsilon^{-2}) compared with \mathcal{O}(\varepsilon^{-4}) and \mathcal{O}(\varepsilon^{-4|\sHelped
Learn from a single N-agent sample path without population manipulation or a generative modelCentralized MFG-PMA · N-player SAGSsample complexity: \widetilde{\mathcal{O}}(\varepsilon^{-2})Helped
Allow each agent to learn a separate policy from its own observationsIndependent MFG-PMA · N-player SAGSsample complexity: \widetilde{\mathcal{O}}(\varepsilon^{-2-a}); a is 0 for smooth enough problemsMixed
Require sufficient regularization so the policy mirror ascent operator is contractivePolicy mirror ascent · Stationary MFGconvergence: L_{\Gamma_\eta} < 1Helped

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