We consider a procurement auction, where each supplier has private costs and submits a stepped supply function. We solve for a Bayesian Nash equilibrium and show that the equilibrium has a price instability in the sense that a minor change in a supplier.s cost sometimes result in a major change...

Predictions under common knowledge of payoffs may differ from those under arbitrarily, but finitely, many orders of mutual knowledge; Rubinstein's (1989)Email game is a seminal example. Weinstein and Yildiz (2007) showed that the discontinuity in the example generalizes: for all types with...

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...

In most wholesale electricity markets generators must submit step-function offers of supply to a uniform price auction, and the market is cleared at the price of the most expensive offer needed to meet realised demand. Such markets can most elegantly be modelled as the pure-strategy, Nash...

We analyse how the market design influences the bidding behaviour in multi-unit auctions, such as wholesale electricity markets. It is shown that competition improves for increased market transparency and we identify circumstances where the auctioneer prefers uniform to discriminatory pricing....

In multi-unit auctions, such as auctions of commodities and securities, and financial exchanges, it is necessary to specify rationing rules to break ties between multiple marginal bids. The standard approach in the literature and in practice is to ration marginal bids proportionally. This paper...

This paper derives and justifies a procedurally fair bidding mechanism and reviews experiments that apply the mechanism to public projects provision. In the experiments, not all parties benefit from provision, and the projects ́costs can be negative. The experimental results indicate that the...

This paper experimentally examines a procedurally fair provision mechanism allowing members of a small community to determine, via their bids, which of four alternative public projects to implement. Previous experiments with positive cost projects have demonstrated that the mechanism is...

This paper derives and justifies a procedurally fair bidding mechanism and reviews experiments that apply the mechanism to public projects provision. In the experiments, not all parties benefit from provision, and the projects ́costs can be negative. The experimental results indicate that the...

Based on an axiomatically derived provision rule allowing community members to endogenously determine which, if any, public project should be provided, we perform experiments where (i) not all parties benefit from provision, and (ii) the projects' "costs" can be negative. In the tradition of...