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Finding Optimal Production and Selling Strategies for an Electricity Generator in a Part of a Country’s Electrical Grid
A part of a country’s electrical grid in which an electricity generator (which may consist of several base load power plants
and several peaking power plants) supplies electricity to a set of large customers of the grid, whereas the customers can a)
receive electricity from renewable sources of energy, b) store electricity in certain volumes, and c) buy electricity in the
markets is considered. It is proposed to describe the interaction of the generator, the large grid customers, and the
transmission company (under uncertainty of the customer demand for electricity) by a game with a finite (more than three)
number of players on polyhedra of player strategies some of which are connected and thus cannot be chosen by the players
independently of each other. Sucient conditions for the game equilibria verifiable by solving three linear programming
problems are proposed, and the equilibria particularly determine optimal production and selling strategies for the generator.