Generalized Nash equilibrium analysis of transmission and distribution coordination in coexistence of centralized and local markets

2021 ◽  
pp. 107762
Author(s):  
Dong Xie ◽  
Mingbo Liu ◽  
Lixin Xu ◽  
Wentian Lu
Keyword(s):  
Nash Equilibrium ◽  
Equilibrium Analysis ◽  
Generalized Nash Equilibrium ◽  
Local Markets ◽  
Transmission And Distribution

scholarly journals A note on supervised classification and Nash-equilibrium problems

2017 ◽  
Vol 51 (2) ◽  
pp. 329-341
Author(s):  
Nicolas Couellan
Keyword(s):  
Nash Equilibrium ◽  
Support Vector Machines ◽  
Supervised Classification ◽  
Dual Space ◽  
Equilibrium Problems ◽  
Support Vector ◽  
Generalized Nash Equilibrium ◽  
Class Separation ◽  
Vector Machines ◽  
Generalized Nash Equilibrium Problems

In this note, we investigate connections between supervised classification and (Generalized) Nash equilibrium problems (NEP & GNEP). For the specific case of support vector machines (SVM), we exploit the geometric properties of class separation in the dual space to formulate a non-cooperative game. NEP and Generalized NEP formulations are proposed for both binary and multi-class SVM problems.

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