Title
Distributed averaging integral Nash equilibrium seeking on networks
Abstract
Continuous-time gradient-based Nash equilibrium seeking algorithms enjoy a passivity property under a suitable monotonicity assumption, which has been exploited to design distributed Nash equilibrium seeking algorithms. We further exploit the passivity property to interconnect the algorithms with distributed nonlinear averaging integral controllers that tune on-line the weights of the communication graph. The main advantage is to guarantee convergence to a Nash equilibrium without requiring a strong coupling condition on the algebraic connectivity of the communication graph over which the players exchange information, nor a global fixed high-gain.
Year
DOI
Venue
2019
10.1016/j.automatica.2019.108548
Automatica
Field
DocType
Volume
Convergence (routing),Passivity,Monotonic function,Mathematical optimization,Coupling,Exploit,Algebraic connectivity,Distributed algorithm,Nash equilibrium,Mathematics
Journal
110
Issue
ISSN
Citations 
1
0005-1098
5
PageRank 
References 
Authors
0.41
0
2
Name
Order
Citations
PageRank
de persis1108779.28
Sergio Grammatico217325.63