From auction theory we know that multi-unit, pay-as-bid auctions in general lead to bid shading and thus to an inefficient allocation. This result is supported by historical data from the German market for balancing power, which show that bidders bid well above their actual costs. In contrast to...

From auction theory we know that multi-unit, pay-as-bid auctions in general lead to bid shading and thus to an inecient allocation. This result is supported by historical data from the German market for balancing power, which show that bidders bid well above their actual costs. In contrast to...

This paper derives a Supply Function Equilibrium (SFE) of a pay-as-bid auction, also called discriminatory auction. Such an auction is used in the balancing market for electric power in Britain. For some probability distributions of demand a pure-strategy equilibrium does not exist. If demand...

This paper derives a Supply Function Equilibrium (SFE) of a pay-as-bid auction, also called discriminatory auction. Such an auction is used in the balancing market for electric power in Britain. For some probability distributions of demand a pure-strategy equilibrium does not exist. If demand...

This paper characterizes the Nash equilibrium in a pay-as-bid (discriminatory), divisible-good, procurement auction. Demand by the auctioneer is uncertain as in the supply function equilibrium model. A closed form expression is derived. Existence of an equilibrium is ensured if the hazard rate...

This paper characterizes the Nash equilibrium in a pay-as-bid (discriminatory), divisible-good, procurement auction. Demand by the auctioneer is uncertain as in the supply function equilibrium model. A closed form expression is derived. Existence of an equilibrium is ensured if the hazard rate...

We analyze a drastic price increase in the German auction market for reserve power, which did not appear to be driven by increased costs. Studying the market structure and individual bidding strategies, we find evidence for collusive behavior in an environment with repeated auctions, pivotal...

We analyze a drastic price increase in the German auction market for reserve power, which did not appear to be driven by increased costs. Studying the market structure and individual bidding strategies, we find evidence for collusive behavior in an environment with repeated auctions, pivotal...

We analyze a drastic price increase in the German auction market for reserve power, which did not appear to be driven by increased costs. Studying the market structure and individual bidding strategies, we find evidence for collusive behavior in an environment with repeated auctions, pivotal...

We analyze a drastic price increase in the German auction market for reserve power, which did not appear to be driven by increased costs. Studying the market structure and individual bidding strategies, we find evidence for collusive behavior in an environment with repeated auctions, pivotal...