Jointly Convex Generalized Nash Equilibria and Elliptic Multiobjective Optimal Control

2015 ◽  
Vol 168 (3) ◽  
pp. 1065-1086 ◽  
Author(s):  
Axel Dreves ◽  
Joachim Gwinner
Keyword(s):  
Optimal Control ◽  
Nash Equilibria ◽  
Jointly Convex ◽  
Multiobjective Optimal Control ◽  
Generalized Nash Equilibria

On Structure and Computation of Generalized Nash Equilibria

2013 ◽  
Vol 23 (1) ◽  
pp. 452-474 ◽  
Author(s):  
D. Dorsch ◽  
H. Th. Jongen ◽  
V. Shikhman
Keyword(s):  
Nash Equilibria ◽  
Generalized Nash Equilibria

scholarly journals Certified POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena

2018 ◽  
Author(s):  
Stefan Banholzer ◽  
Eugen Makarov ◽  
Stefan Volkwein
Keyword(s):  
Optimal Control ◽  
Reference Point ◽  
Model Order Reduction ◽  
Optimization Problems ◽  
Order Reduction ◽  
Point Method ◽  
Model Order ◽  
Reference Point Method ◽  
Multiobjective Optimal Control ◽  
Proper Orthogonal

Many optimization problems in applications can be formulated using several objective functions, which are conflicting with each other. This leads to the notion of multiobjective or multicriterial optimization problems. Here, we investigate the application of the Euclidean reference point method in combination with model-order reduction to multiobjective optimal control problems. Since the reference point method transforms the multiobjective optimal control problem into a series of scalar optimization problems, the method of proper orthogonal decomposition (POD) is introduced as an approach for model-order reduction.

scholarly journals Learning Generalized Nash Equilibria in a Class of Convex Games

2019 ◽  
Vol 64 (4) ◽  
pp. 1426-1439 ◽  
Author(s):  
Tatiana Tatarenko ◽  
Maryam Kamgarpour
Keyword(s):  
Nash Equilibria ◽  
Convex Games ◽  
Generalized Nash Equilibria
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