Non-monotoniticies and the all-pay auction tie-breaking rule

Discontinuous games, such as auctions, may require special tie-breaking rules to guarantee equilibrium existence. The best results available ensure equilibrium existence only in mixed strategy with endogenously defined tie-breaking rules and communication of private information. We show that an all-pay auction tie-breaking rule is sufficient for the existence of pure strategy equilibrium in a class of auctions. The rule is explicitly defined and does not require communication of private information. We also characterize when special tie-breaking rules are really needed

Asymmetric First-Price Menu Auctions under Intricate Uncertainty

This paper studies asymmetric first-price menu auctions in the procurement environment where the buyer does not commit to a decision rule and asymmetric sellers have interdependent costs and statistically affiliated signals. Sellers compete in bidding a menu of contracts, where a contract specifies a vector of characteristics and a payment required from the buyer for delivering these characteristics. The buyer does not commit ex-ante to a decision rule but rather upon observing all the menus offered by sellers chooses the best contract. This paper establishes the existence of a continuum of separating monotone equilibria in this game bounded above by the jointly ex-post efficient outcome and below by the jointly interim efficient outcome. It shows that the jointly ex-post efficient equilibrium outcome is the only ex-post renegotiation proof outcome and it is also ex-ante robust to all continuation equilibriafirst-price menu auction, interdependent values, monotone equilibria, joint ex-post renegotiation-proofness, ex-ante robustness

Non-Committed Procurement under Intricate Uncertainty

This paper studies asymmetric first-price menu auctions in the procurement environment where the buyer does not commit to a decision rule and asymmetric sellers have interdependent costs and statistically affiliated signals. Sellers compete in bidding a menu of contracts, where a contract specifies a vector of characteristics and a payment required from the buyer for delivering these characteristics. The buyer does not commit ex-ante to a decision rule but rather upon observing all the menus offered by sellers chooses the best contract. This paper establishes the existence of a continuum of separating monotone equilibria in this game bounded above by the jointly ex-post efficient outcome and below by the jointly interim efficient outcome. It shows that the jointly ex-post efficient equilibrium outcome is the only ex-post renegotiation proof outcome and it is also ex-ante robust to all continuation equilibria.first-price menu auctions; procurement; interdependent values; monotone equilibria; joint ex-post efficiency; ex-post renegotiation-proofness; ex-ante robustness

Bargaining power and supply base diversification

In this paper, the authors examine a supply base diversification problem faced by a buyer who periodically holds auctions to award short term supply contracts among a cohort of suppliers (i.e., the supply base). To mitigate significant cost shocks to procurement, the buyer can diversify her supply base by selecting suppliers from different regions. The authors find that the optimal degree of supply base diversification depends on the buyer’s bargaining power, i.e., the buyer’s ability to choose the auction mechanism. At one extreme, when the buyer has full bargaining power and thus can dictatorially implement the optimal mechanism, she prefers to fully diversify. At the other extreme, when the buyer uses a reverse English auction with no reserve price due to her lack of bargaining power, she may consider protecting herself against potential price escalation from cost-advantaged suppliers by using a less diversified supply base. The authors find that in general the more bargaining power the buyer has to control price escalation from cost-advantaged suppliers the more she prefers a diversified supply base. This insight is shown to be robust to correlation between regional costs, asymmetry across regions, and intermediate levels of bargaining power.supply base diversification; supplier; buyer; procurement; bargaining

Auctioning Many Divisible Goods

We study the theory and practical implementation of auctioning many divisible goods. With multiple related goods, price discovery is important not only to reduce the winner’s curse, but more importantly, to simplify the bidder’s decision problem and to facilitate the revelation of preferences in the bids. Simultaneous clock auctions are especially desirable formats for auctioning many divisible goods. We examine the properties of these auctions and discuss important practical considerations in applying them.Auctions, Electricity Auctions, Market Design, Clock Auctions

Auctions with costly information acquisition Constrained Bidders

We consider auction environments in which bidders must incur a cost to learn their valuations and study the optimal selling mechanisms in such environments. These mechanisms specify for each period, as a function of the bids in previous periods, which new potential buyers should be asked to bid. In addition, these mechanisms must induce buyers to both acquire and to reveal truthfully their valuations. Using a generalized Groves principle, we prove a very general “full extraction of the surplus” result: the seller can obtain the same profit as if he had full control over the buyers’ acquisition of information and could have observed directly their valuations once they are informed. We also present appealing implementations of the optimal mechanism in special cases.mechanism design, selling mechanisms, auctions, information acquisition, search procedures

Strategic Behaviour, Resource Valuation and Competition in Electricity Markets

By means of a suitable Bayesian game we study spot electricity markets from a structural point of view. We address the problem of individual and aggregate eficciency and we show how to value water from market observables. We compare the former to engineering methods and apply our methodology to Colombian spot electricity market. Our results show that big gas and small hydro plants overbid, resources are undervalued by engineering costs and aggregate costs would have been considerably smaller if agents had played optimally. Revealed costs show a substantial gain in eficciency in the Vickrey auction compared to the actual uniform auction.Multi-unit auctions, Oligopoly, electricity markets

A COLLECTIVE PERFORMANCE-BASED CONTRACT FOR POINT-NONPOINT SOURCE POLLUTION TRADING

Collective performance-based trading can be achieved by pairing a team contract with an auction to determine team membership. The auction effectively overcomes adverse selection, and the team contract reduces the incentive to "free-ride" associated with moral hazard in teams.Environmental Economics and Policy,