Using game theory for the electricity market
Résumé
We consider a static game model to describe a spot electricity market in which $\calS$ suppliers offer electricity. Each supplier submit a price function to the market, to which the market reacts by fixing the quantities bought to each supplier. The objective of the market is to satisfy its fixed demand, whenever possible, at minimal price. We investigate two cases. In the first case, each of the suppliers strives to maximize its market share on the market; in the second case each supplier strives to maximize its profit. We also make some remarks when suppliers may bring electricity on several markets.