Continuous-time integral dynamics for a class of aggregative games with coupling constraints

Claudio De Persis; Sergio Grammatico

doi:10.1109/TAC.2019.2939639

Continuous-time integral dynamics for a class of aggregative games with coupling constraints

Claudio De Persis, Sergio Grammatico

Team Bart De Schutter

Research output: Contribution to journal › Article › Scientific › peer-review

48 Citations (Scopus)

105 Downloads (Pure)

Abstract

We consider continuous-time equilibrium seeking in a class of aggregative games with strongly convex cost functions and affine coupling constraints. We propose simple, semi-decentralized integral dynamics and prove their global asymptotic convergence to a variational generalized aggregative or Nash equilibrium. The proof is based on Lyapunov arguments and invariance techniques for differential inclusions.

Original language	English
Pages (from-to)	2171-2176
Journal	IEEE Transactions on Automatic Control
Volume	65
Issue number	5
DOIs	https://doi.org/10.1109/TAC.2019.2939639
Publication status	Published - 2020

Bibliographical note

Accepted Author Manuscript

Keywords

Aggregative game theory
Multi-agent systems
Decentralized control
Projected dynamical systems

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10.1109/TAC.2019.2939639

08825548Accepted author manuscript, 313 KB

Cite this

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abstract = "We consider continuous-time equilibrium seeking in a class of aggregative games with strongly convex cost functions and affine coupling constraints. We propose simple, semi-decentralized integral dynamics and prove their global asymptotic convergence to a variational generalized aggregative or Nash equilibrium. The proof is based on Lyapunov arguments and invariance techniques for differential inclusions.",

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AU - Grammatico, Sergio

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AB - We consider continuous-time equilibrium seeking in a class of aggregative games with strongly convex cost functions and affine coupling constraints. We propose simple, semi-decentralized integral dynamics and prove their global asymptotic convergence to a variational generalized aggregative or Nash equilibrium. The proof is based on Lyapunov arguments and invariance techniques for differential inclusions.

KW - Aggregative game theory

KW - Multi-agent systems

KW - Decentralized control

KW - Projected dynamical systems

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DO - 10.1109/TAC.2019.2939639

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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Continuous-time integral dynamics for a class of aggregative games with coupling constraints

Abstract

Bibliographical note

Keywords

Access to Document

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