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, illustrating the theoretical results.
|Title of host publication||2020 European Control Conference (ECC)|
|Publication status||Published - 2020|
|Event||2020 European Control Conference (ECC) - Saint Petersburg, Russian Federation|
Duration: 12-May-2020 → 15-May-2020
|Conference||2020 European Control Conference (ECC)|
|Period||12/05/2020 → 15/05/2020|