We study the effects of different information structures (full information, supply uncertainty and demand uncertainty) on equilibrium prices, allocative efficiency and bidding behavior in a (supply-side) uniform-price multi-unit auction, using supply function competition and a novel experimental...

An important result in convex analysis is the duality between a closed convex set and its support function. We exploit this duality to develop a novel geometric approach to mechanism design. For a general class of social choice problems we characterize the feasible set, which is closed and...

Pay-What-You-Want (PWYW) pricing schemes are popular in certain industries and not others. We model the seller's choice of pricing scheme under various market structures assuming consumers share their surplus. We show that the profitability and popularity of PWYW depend not only on consumers'...

We consider market dynamics in a reduced form model. In the simplest version, there are two investors and several small noninvesting firms. In each period, one investor can acquire a small firm, the other investor decides about market entry. After that all firms play an oligopoly game. We derive...

Producers submit committed supply functions to a procurement auction, e.g. an electricity auction, before the uncertain demand has been realized. In the Supply Function Equilibrium(SFE), every firm chooses the bid maximizing his expected profit given the bids of the competitors. In case of...

Most balaning markets of electric power are organized as uniform-price auctions. In 2001, the balancing market of England and Wales switched to a pay-as-bid auction with the intention of reducing wholesale electricity prices. Numerical simultations of an electricity auction model have indicated...

In a real-time electric power auction, the bids of producers consist of committed supply as a function of price. The bids are submitted under uncertainty, before the demand by the Independent System Operator has been realized. In the Supply Function Equilibrium (SFE), every producer chooses the...

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...

Consider a market where producers submit supply functions to a procurement auction - e.g. an electric power auction - under uncertainty, before demand has been realized. In the Supply Function Equilibrium (SFE), every firm commits to the supply function maximizing his expected profit given the...

The spectrum for third generation (3G) mobile communications for the German market was alloted to operators by means of an auction. This resulted in a highly competitive outcome: six operators were given rights to provide 3G services. Government revenues from this auction were a staggering EUR...