Nash Equilibrium Set Function in Dyadic Mixed-Strategy Games

2018 ◽  
pp. 115-127
Author(s):  
Valeriu Ungureanu
Keyword(s):  
Nash Equilibrium ◽  
Mixed Strategy ◽  
Equilibrium Set ◽  
Strategy Games ◽  
Set Function

scholarly journals Multi-objective Optimization of Accommodation Capacity for Distributed Generation Based on Mixed Strategy Nash Equilibrium, Considering Distribution Network Flexibility

2019 ◽  
Vol 9 (20) ◽  
pp. 4395 ◽  
Author(s):  
Weisheng Liu ◽  
Jian Wu ◽  
Fei Wang ◽  
Yixin Huang ◽  
Qiongdan Dai ◽  
...  
Keyword(s):  
Nash Equilibrium ◽  
Distributed Generation ◽  
Mixed Strategy ◽  
Distribution Network ◽  
Distribution Networks ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Mixed Strategy Nash Equilibrium ◽  
Network Flexibility ◽  
Strategy Nash Equilibrium

The increasing penetration of distributed generation (DG) brings about great fluctuation and uncertainty in distribution networks. In order to improve the ability of distribution networks to cope with disturbances caused by uncertainties and to evaluate the maximum accommodation capacity of DG, a multi-objective programming method for evaluation of the accommodation capacity of distribution networks for DG is proposed, considering the flexibility of distribution networks in this paper. Firstly, a multi-objective optimization model for determining the maximum accommodation of DG by considering the flexibility of distribution networks is constructed, aiming at maximizing the daily energy consumption, minimizing the voltage amplitude deviation, and maximizing the line capacity margin. Secondly, the comprehensive learning particle swarm optimization (CLPSO) algorithm is used to solve the multi-objective optimization model. Then, the mixed strategy Nash equilibrium is introduced to obtain the frontier solution with the optimal joint equilibrium value in the Pareto solution set. Finally, the effectiveness of the proposed method is demonstrated with an actual distribution network in China. The simulation results show that the proposed planning method can effectively find the Pareto optimal solution set by considering multiple objectives, and can obtain the optimal equilibrium solution for DG accommodation capacity and distribution network flexibility.

THE MIXED STRATEGY NASH EQUILIBRIUM OF THE TELEVISON NEWS SCHEDULING GAME

2008 ◽  
Vol 56 (2) ◽  
pp. 418-418 ◽  
Author(s):  
JEAN J. GABSZEWICZ ◽  
DIDIER LAUSSEL ◽  
MICHEL LE BRETON
Keyword(s):  
Nash Equilibrium ◽  
Mixed Strategy ◽  
Mixed Strategy Nash Equilibrium ◽  
Strategy Nash Equilibrium
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