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Moreover, it also demonstrates the game equilibrium is unique.
A distributed iterative power algorithm is provided for the problem to obtain the game equilibrium.
In order to study the game equilibrium, let us point out the following remark.
In electricity market research, the major modelling methods include optimization model based, game equilibrium model based and simulation model based.
Hence, sufficient conditions for existence and uniqueness of the solution are analytically derived, along with a distributed algorithm capable of reaching the game equilibrium.
As for power system energy policy studies, optimization and game equilibrium models are not applicable since the target problem is too complicated and comprises different market participants.
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It finds the optimal strategies of inside attack by searching the game equilibriums.
The generalized mixed equilibrium problems include, as special cases, some optimization problems, fixed point problems, variational inequality problems, Nash equilibrium problems in noncooperative games, equilibrium problem, Numerous problems in physics, economics and others.
To tackle time inconsistency, one then focuses typically on either pre-commitment strategies, i.e. controls that are optimal for the problem viewed at the initial time, but may be not optimal at future date, or game-equilibrium strategies, i.e., control decisions considered as a game against all the future decisions the controller is going to make.
First stage: the MNE's decision and sub-game equilibriums.
Among the various theories of game, Nash equilibrium is one of the most important and widespread equilibrium concepts in the twentieth century.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com