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arXiv · 1911.08443

Time-varying constrained proximal type dynamics in multi-agent network games

Carlo Cenedese·Giuseppe Belgioioso·Sergio Grammatico·Ming Cao
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Abstract

In this paper, we study multi-agent network games subject to affine time-varying coupling constraints and a time-varying communication network. We focus on the class of games adopting proximal dynamics and study their convergence to a persistent equilibrium. The assumptions considered to solve the problem are discussed and motivated. We develop an iterative equilibrium seeking algorithm, using only local information, that converges to a special class of game equilibria. Its derivation is motivated by several examples, showing that the original game dynamics fail to converge. Finally, we apply the designed algorithm to solve a constrained consensus problem, validating the theoretical results.

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Carlo Cenedese, Giuseppe Belgioioso, Sergio Grammatico, Ming Cao. 2019-11-19. Time-varying constrained proximal type dynamics in multi-agent network games. https://arxiv.org/abs/1911.08443

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