Two-bidder all-pay auctions with interdependent valuations, including the highly competitive case

We analyze symmetric, two-bidder all-pay auctions with interdependent valuations and discrete type spaces. Relaxing previous restrictions on the distribution of types and the valuation structure, we present a construction that characterizes all symmetric equilibria. We show how the search problem this construction faces can be complex. In equilibrium, randomization can take place over disjoint intervals of bids, equilibrium supports can have a rich structure, and non-monotonicity of the equilibrium may result in a positive probability of allocative inefficiency when the value of the prize is not common. Particular attention is paid to the case in which an increase in a bidder’s posterior expected value of winning the auction is likely to be accompanied by a corresponding increase for the other bidder. Such environments are “highly competitive” in the sense that the bidder’s higher valuation also signals that the other bidder has an incentive to bid aggressively

How Best to Auction Oil Rights

I study the design of oil rights auctions. A good auction design promotes both an efficient assignment of rights and competitive revenues for the seller. The structure of bidder preferences and the degree of competition are key factors in determining the best design. With weak competition and additive values, a simultaneous first-price sealed-bid auction may suffice. With more complex value structures, a dynamic auction with package bids, such as the clock-proxy auction, likely is needed to promote the efficiency and revenue objectives. Bidding on production shares, rather than bonuses, typically increases government take by reducing oil company risk.Auctions, Oil Auctions, Market Design, Clock Auctions

The Role of Auctions in Allocating Public Resources

This paper provides an economic framework within which to consider the effectiveness and limitations of auction markets. The paper looks at the use of auctions as a policy instrument and the effects of auction design on consumer interests, the efficient allocation of resources, and industry competitiveness.Australia; Research; Ascending-bid auction; Auctions; Bidders; Conservation funds; Descending-bid auction; Dutch auction; English auction; Environmental Management; First-price sealed-bid auction; Infrastructure; Markets; Oral auction; Outcry auction; Pollutant emission permits; Power supply contracts; Public resources; Radio- spectrum; Second-price sealed-bid auction Spectrum licences; Vickrey auction; Water rights;

The German UMTS Design: Insights From Multi-Object Auction Theory

We briefly survey several insights about value and revenue maximization in multi-object auctions and apply them to the German (and Austrian) UMTS auction. In particular, we discuss in detail the exposure probelm that caused firms in Germany to pay almost Euro 20 billion for nothing.

Multi-Unit Open Ascending Price Efficient Auction

This paper presents an open ascending price mechanism that allocates efficiently M units of the same good among N bidders with interdependent values The mechanism consists of a number of sequential English auctions with reentry and has the following attributes. In each of the individual auctions all the bidders compete simultaneously in the open ascending price format. The most distinctive feature of the mechanism is that winners are determined first, and then additional auxillary auctions are conducted to determine prices. The total number of auctions depends only on the number of goods to be allocated and not on the number of bidders.Multiple units, Interdependent values, Sequential auctions, Ascending price auction

How Best to Auction Natural Resources

I study the design of auctions of natural resources, such as oil or mineral rights. A good auction design promotes both an efficient assignment of rights and competitive revenues for the seller. The structure of bidder preferences and the degree of competition are key factors in determining the best design. With weak competition and simple value structures, a simultaneous first-price sealed-bid auction may suffice. With more complex value structures, a dynamic auction with package bids likely is needed to promote efficiency and revenue objectives. Bidding on production shares, rather than bonuses, typically increases government take by reducing oil or mining company risk.Auctions, natural resource auctions, oil auctions

The German UMTS Design: Insights From Multi-Object Auction Theory

We briefly survey several insights about value and revenue maximization in multi-object auctions and apply them to the German (and Austrian) UMTS auction. In particular, we discuss in detail the exposure problem that caused firms in Germany to pay almost Euro 20 billion for nothing.

Testing for Common Values in Canadian Treasury Bill Auctions

We develop a test for common values in auctions in which some bidders possess information about rivals’ bids. This information causes a bidder to bid differently when she has a private value than when her value depends on rivals’ information. In a divisible good setting, such as treasury bill auctions, bidders with private values who obtain information about rivals’ bids use this information only to update their prior about the distribution of residual supply. In the model with a common value component, they also update their prior about the value of the good being auctioned.We apply the data from the Canadian treasury bill market, where some bidders have to route their bids through dealers who also submit bids on their own. Furthermore, we use the structural model to estimate the value of customer order flow to a dealer. We find that the extra information contained in customers’ bids leads on average to an increase in payoff equal to about 0.5 of a basis point, or 32% of the expected surplus of dealers from participating in these auctions.multiunit auctions, treasury auctions, structural estimation, nonparametric identification and estimation, test for common value

Demand Reduction and Inefficiency in Multi-Unit Auctions

Auctions typically involve the sale of many related goods. The FCC spectrum auctions and the Treasury debt auctions are examples. With conventional auction designs, large bidders have an incentive to reduce demand in order to pay less for their winnings. This incentive creates an inefficiency in multi-unit auctions. Large bidders reduce demand for additional units and so sometimes lose to smaller bidders with lower values. We demonstrate this inefficiency in several auction settings: flat demand and downward-sloping demand, independent private values and correlated values, and uniform pricing and pay-your-bid pricing. We also establish that the ranking of the uniform-price and pay-your-bid auctions is ambiguous. We show how a Vickrey auction avoids this inefficiency and how the Vickrey auction can be implemented with a simultaneous, ascending-bid design (Ausubel 1997). Bidding behavior in the FCC spectrum auctions illustrates the incentives for demand reduction and the associated inefficiency.Auctions; Multi-Unit Auctions; Spectrum Auctions; Treasury Auctions

Why Every Economist Should Learn Some Auction Theory

This is an Invited paper for the World Congress of the Econometric Society held in Seattle in August 2000. We discuss the strong connections between auction theory and "standard" economic theory, and argue that auction-theoretic tools and intuitions can provide useful arguments and insights in a broad range of mainstream economic settings that do not, at first sight, look like auctions. We also discuss some more obvious applications, especially to industrial organization.Auctions, Bidding, Auction Theory, Private Values, Common Values, Mechanism Design, Litigation, Stock Markets, Queues, Financial Crashes, Brand Loyalty, War of Attrition, Bertrand, Perfect Competition, E-Commerce, Spectrum Auctions, Treasury Auctions, Electricity