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Local Convergence of Gradient Methods for Min-Max Games: Partial Curvature Generically Suffices

Local Convergence of Gradient Methods for Min-Max Games: Partial Curvature Generically Suffices

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2820822835

Local Convergence of Gradient Methods for Min-Max Games: Partial Curvature Generically Suffices

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Full title

Local Convergence of Gradient Methods for Min-Max Games: Partial Curvature Generically Suffices

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2023-11

Language

English

Formats

Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

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Scope and Contents

Contents

We study the convergence to local Nash equilibria of gradient methods for two-player zero-sum differentiable games. It is well-known that such dynamics converge locally when \(S \succ 0\) and may diverge when \(S=0\), where \(S\succeq 0\) is the symmetric part of the Jacobian at equilibrium that accounts for the "potential" component of the game. W...

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Full title

Local Convergence of Gradient Methods for Min-Max Games: Partial Curvature Generically Suffices

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Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2820822835

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2820822835

Other Identifiers

E-ISSN

2331-8422

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