A generalized Nash game for energy efficiency optimization : a quasi variational inequality approach

Stupia, Ivan;Vandendorpe, Luc
(2013) 21st European Signal Processing Conference, EUSIPCO 2013 — Location: Marrakech, Morocco (9.September.2013)

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Abstract
This paper presents the Nash equilibrium problem for a multipoint-to-multipoint network whose nodes aim at maxi- mizing their energy efficiency (EE). The equilibrium problem is reformulated as a max-rate equilibrium problem with cou- pling among the strategy sets of the players. Unfortunately, the analysis of this kind of games can not be addressed us- ing traditional theoretical tools. To cope with this challenge, the equilibrium problem is formulated as a quasi-variational inequality for which existence results are given. This formu- lation provides us with all the mathematical tools necessary to devise novel distributed algorithms.
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Stupia, I., & Vandendorpe, L. (2013). A generalized Nash game for energy efficiency optimization : a quasi variational inequality approach. 21st European Signal Processing Conference, EUSIPCO 2013, 1-5. https://hdl.handle.net/2078.5/231688