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conference paper

Distributed computation of generalized Nash equilibria in quadratic aggregative games with affine coupling constraints

Paccagnan, Dario
•
Gentile, Basilio
•
Parise, Francesca
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December 2016
2016 IEEE 55th Conference on Decision and Control (CDC)
2016 IEEE 55th Conference on Decision and Control (CDC)

We analyse deterministic aggregative games, with large but finite number of players, that are subject to both local and coupling constraints. Firstly, we derive sufficient conditions for the existence of a generalized Nash equilibrium, by using the theory of variational inequalities together with the specific structure of the objective functions and constraints. Secondly, we present a coordination scheme, belonging to the class of asymmetric projection algorithms, and we prove that it converges R-linearly to a generalized Nash equilibrium. To this end, we extend the available results on asymmetric projection algorithms to our setting. Finally, we show that the proposed scheme can be implemented in a decentralized fashion and it is suitable for the analysis of large populations. Our theoretical results are applied to the problem of charging a fleet of plug-in electric vehicles, in the presence of capacity constraints coupling the individual demands.

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Type
conference paper
DOI
10.1109/CDC.2016.7799210
Author(s)
Paccagnan, Dario
Gentile, Basilio
Parise, Francesca
Kamgarpour, Maryam  
Lygeros, John
Date Issued

2016-12

Publisher

IEEE

Publisher place

Las Vegas, NV, USA

Published in
2016 IEEE 55th Conference on Decision and Control (CDC)
ISBN of the book

978-1-5090-1837-6

Start page

6123

End page

6128

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
SYCAMORE  
Event nameEvent placeEvent date
2016 IEEE 55th Conference on Decision and Control (CDC)

Las Vegas, NV, USA

2016-12

Available on Infoscience
December 1, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/183365
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