Abstract
The asymptotically stable equilibrium points of asymmetric evolutionary games for multiple groups with multiple game strategies are obtained. The evolution of four groups and more multiple groups in open electricity market are described by the replicator dynamics. Multiple game strategies of the power generation enterprises in open electricity market are studied. Besides, the corresponding asymptotic stability conditions are given by the Lyapunov stability criterion.
Highlights
Game theory has been applied into numerous fields, such as economics [1], energy management [2], and communication [3]
The players in a group could be stay in the game system with a long time; All these game groups in the game system could be balanced with long term
This paper mainly discusses the asymptotic stability of multi-group asymmetric evolutionary game in an open electricity market
Summary
Game theory has been applied into numerous fields, such as economics [1], energy management [2], and communication [3]. The equilibrium points of a grouped game with three groups and two strategies have been calculated in open electricity market [6]. The equilibrium stability of asymmetric evolutionary games with multi-group with multi-strategy game has not been studied. The equilibrium points of multiple groups with multiple strategies in the open electricity market are calculated. L. Yin et al.: Equilibrium Stability of Asymmetric Evolutionary Games of Multi-Agent Systems electricity market, i.e., power generation enterprise groups (PGEG), power grid groups (PGG), prosumers, and power user groups (PUG). 4) Equilibrium: the equilibrium is the convergence and stability of the evolution
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