This article investigates a multi‐unit pay‐as‐bid procurement auction where the auctioneer fixes total spending and maximizes the quantity procured with their predetermined, secret budget. Previous literature has analyzed fixed‐quantity auctions, where the traded quantity is fixed but...

We study multi-unit auctions where bidders have single-unit demand and asymmetric information. For symmetric equilibria, we identify circumstances where uniform-pricing is better for the auctioneer than pay-as-bid pricing, and where transparency improves the revenue of the auctioneer. An issue...

We study multi-unit auctions where bidders have single-unit demand and asymmetric information. For symmetric equilibria, we identify circumstances where uniform-pricing is better for the auctioneer than pay-as-bid pricing, and where transparency improves the revenue of the auctioneer. An issue...

Chapter1: Second Price Auctions -- Chapter2:First Price Auctions -- Chapter3: First Price Auctions Extensions -- Chapter4: All Pay Auctions and Auctions with Asymmetrically Informed Bidders -- Chapter5: Third Price Auctions kth Price Auctions and Lotteries -- Chapter6: The Revenue Equivalence...

Chapter 1: Second-price auctions -- Chapter 2: First-price auctions -- Chapter 3: First-price auctions, Extensions -- Chapter 4: All-pay auctions and auctions with asymmetrically informed bidders -- Chapter 5: Third-price auctions, kth-price auctions, and lotteries -- Chapter 6: The Revenue...

We study multiple-unit asymmetric procurement auctions wherein sellers from two classes draw costs from dierent distributions. When sellers are asymmetric, a cost-minimizing buyer discriminates among classes of sellers to enhance competition [1]. Establishing a quota|a limit on the number of...

Transport constraints limit competition and arbitrageurs' possibilities of exploiting price differences between commodities in neighbouring markets. We analyze a transportation network where oligopoly producers compete with supply functions under uncertain demand, as in wholesale electricity...

This study addresses a discrete common value environment with independent (one-dimensional) private signals, where the seller offers two identical units and the buyers have (flat) demand for both. Each session is conducted with 2, 3 or 4 buyers. Three auction formats are used: the...

It is still an open question whether the dynamic or the static format should be used in multi-unit settings, in a uniform price auction. The present study conducts an economic experiment in a common value environment, where it is found that it is more a question of whether the auctioneer wants...

We experimentally study the effects of allotment Ð the division of an item into several units Ð in independent private value auctions. In particular, we compare a single-item, first-price auction with two equivalent treatments with allotment: a two-unit discriminatory auction and a setting in...

We use laboratory experiments to compare allocation rules in uniform price divisible good auctions. 'Standard' and 'uniform' allocation rules admit different types of low-price equilibria, which are eliminated by a 'hybrid' rule. We observe little evidence of revenue differences among the...

Managed grasslands contribute in a number of ways to the biodiversity of European agricultural landscapes and provide a wide range of ecosystem services that are also of socio-economic value. Against the background of a rapid biodiversity loss in agricultural landscapes, increasing attention is...

We use laboratory experiments to compare allocation rules in uniform price divisible good auctions. “Standard” and “uniform” allocation rules admit different types of low-price equilibria, which are eliminated by a “hybrid” rule. We observe little evidence of revenue differences...

This paper uses the framework in Wolak (2003a,b and 2007) and data on half-hourly offer curves and market-clearing prices and quantities from the New Zealand wholesale electricity market over the period January 1, 2001 to June 30, 2007 to characterize how the four large suppliers in this...

Managed grasslands contribute in a number of ways to the biodiversity of European agricultural landscapes and provide a wide range of ecosystem services that are also of socio-economic value. Against the background of a rapid biodiversity loss in agricultural landscapes, increasing attention is...

I show that in a private value multi-unit uniform-price auction, the reservation price increases both the efficiency and revenue. In equilibrium the difference between the true value of a unit and the submitted bid (shading) is different for each unit; therefore, the seller cannot allocate units...

We use laboratory experiments to compare allocation rules in uniform price divisible good auctions. “Standard” and “uniform” allocation rules admit different types of low-price equilibria, which are eliminated by a “hybrid” rule. We observe little evidence of revenue differences...

This paper confronts the tractability problems that accompany IPV auction models with multi-unit bidder demands. Utilizing a first order approach, the asymptotic properties of symmetric equilibria in discriminatory and uniform price auctions are derived. It is shown that as the number of bidders...

We analyze the strategic allocation of resources across two contests as in the canonical Colonel Blotto game. In the games we study, two players simultaneously allocate their forces across two fields of battle. The larger force on each battlefield wins that battle, and the payoff to a player is...

The European Union’s Council Regulation on support for rural development by the European Agricultural Fund for Rural Development has introduced auctioning as a new instrument for granting agri-environmental payments and awarding conservation contracts for the recent multi-annual budgetary...

The paper analyzes the essential properties of bidder equilibrium strategies in the multi-unit uniform-price auction. In the auction the seller offers several identical units for sale, specifies a minimum accepted bid (reservation price) and sets maximum number of bids that any bidder can...

Should a seller use a multi-unit auction for identical and indivisible units of a good? We show, under specific assumptions on the value distributions of the bidders, that in large markets the multi-unit format generates higher (lower) expected revenue compared to the bundled format when the...

We analyze the bidding behavior in a strictly descending multi-unit auction where the price decreases continuously without going back to the initial start price once an object is sold. We prove that any equilibrium in the multi-unit descending auction is inefficient. We derive a symmetric...

Competition in a multi-unit auction is measured both by the number of bidders and by the relative size of their demands, compared to the number of units on sale. For the same degree of competition (identical aggregate demand and supply), we can observe different demand structures. Do they have...

Competition in a multi-unit auction is measured both by the number of bidders and by the relative size of their demands, compared to the number of units on sale. For the same degree of competition (identical aggregate demand and supply), we can observe different demand structures. Do they have...

This study of the wholesale electricity market compares the efficiency performance of the auction mechanism currently in place in U.S. markets with the performance of a proposed mechanism. The analysis highlights the importance of considering strategic behavior when comparing different...

This paper completely characterizes the set of Nash equilibria of the Vickrey auction for multiple identical units when buyers have non-increasing marginal valuations and there at least three potential buyers. There are two types of equilibria: In the first class of equilibria there are positive...

This paper completely characterizes the set of Nash equilibria of the Vickrey auction for multiple identical units when buyers have non-increasing marginal valuations and there at least three potential buyers. There are two types of equilibria: In the first class of equilibria there are positive...