Equilibrium points in power and reserve auction games

In our work, we formulated a price competition game for modeling oligopolistic competition in a single-period electricity market auction. An assumption made in the study is that generator marginal costs are un-identical. In this paper, we continue to study single-period auction games, with the assumption that generator marginal costs are identical. We found that the later assumption facilitates a sharper result, which states that the market clearing price at equilibrium under tight capacity constraint is unique. This assumption also permits us to obtain simpler equilibrium characterization and mathematical proofs. Furthermore, we extend the model to study the auction game in which power and reserve are auctioned simultaneously.