Abstract
We study how a government can manage a policy of environmental sustainability in a competitive electricity market. We assume that the government plays a Stackelberg game as leader, to study the evolutionary stable equilibria of the problem under this game theory paradigm. We then analyze a bimatrix coordination game to have many equilibria when no single power plant has incentives to deviate when the others reduce carbon emissions. In fact for power plants the adapted behavior is to avoid heavy tariffs, preserve the market share and minimize the environmental impact. We use the notion of quantal response equilibrium (QRE) in the case of bounded rationality to obtain a unique Nash equilibrium known as the centroid-dominant equilibrium of the game. This proposed quantitative framework can be applied by policy makers to determine incentives and tariffs to meet the environmental obligations in the electricity market.
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