This paper presents a price setting mechanism for competitive electricity markets consisting of independent power producers, retailers, public utilities, and consumers. In our electricity market model, the members of the markets are represented by a tripartite graph composed of three types of agents: sellers, traders, and buyers. Our method can be used to discover equilibrium of electricity prices in a given network model, and the method shows how network structure and supply capacity of sellers influences profits of the agents in the model; especially, this research focuses on the profits of electricity retailers.
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