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In this paper, we propose and analyze numerical experiments based upon the oligopolistic model of Mexican electricity market. Presently, the Mexican electricity market is presented by state regulated monopoly, so that a competition market is not yet established. Nevertheless, around 25% of the electricity is being produced by private firms. If they get the ability to offer it to the customers directly, we will find ourselves in oligopolistic-kind competition, various scenarios of which we will investigate in the paper, applying theoretical results previously obtained in.