Continuous-time integral dynamics for a class of aggregative games with coupling constraints
Claudio De Persis (Rijksuniversiteit Groningen)
Sergio Grammatico (TU Delft - Mechanical Engineering)
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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.