Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 65, Issue 5, Pages 2171-2176Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2019.2939639
Keywords
Games; Couplings; Heuristic algorithms; Cost function; Convergence; Nash equilibrium; Indexes; Aggregative game theory; decentralized control; multiagent systems; projected dynamical systems
Funding
- Netherlands Organisation for Scientific Research (NOW) under Research Project OMEGA [613.001.702]
- European Research Council (ERC) [802348]
- Netherlands Organisation for Scientific Research (NOW) under Research Project P2P-TALES [647.003.003]
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We consider continuous-time equilibrium seeking in a class of aggregative games with strongly convex cost functions and affine coupling constraints. We propose simple semidecentralized 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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