The Multiple Unit Auction with Variable Suppy PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Multiple Unit Auction with Variable Suppy PDF full book. Access full book title The Multiple Unit Auction with Variable Suppy by Yvan Lengwiler. Download full books in PDF and EPUB format.
Author: Yvan Lengwiler
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
The theory of multiple unit auctions traditionally assumes that the offered quantity is fixed. I argue that this assumption is not appropriate for many applications because the seller may be able and willing to adjust the supply to the bidding. In this paper I address this shortcoming by analyzing a multi-unit auction game between a monopolistic seller who can produce arbitrary quantities at constant unit cost, and oligopolistic bidders. I establish the existence of a subgame-perfect equilibrium for price discriminating and for uniform price auctions. I also show that bidders have an incentive to misreport their true demand in both auction formats, but they do that in different ways and for different reasons. Furthermore, both auction formats are inefficient, but there is no unambiguous ordering among them. Finally, the more competitive the bidders are, the more likely the seller is to prefer uniform pricing over price discrimination, yet increased competition among bidders may or may not enhance efficiency.
Author: Yvan Lengwiler
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
The theory of multiple unit auctions traditionally assumes that the offered quantity is fixed. I argue that this assumption is not appropriate for many applications because the seller may be able and willing to adjust the supply to the bidding. In this paper I address this shortcoming by analyzing a multi-unit auction game between a monopolistic seller who can produce arbitrary quantities at constant unit cost, and oligopolistic bidders. I establish the existence of a subgame-perfect equilibrium for price discriminating and for uniform price auctions. I also show that bidders have an incentive to misreport their true demand in both auction formats, but they do that in different ways and for different reasons. Furthermore, both auction formats are inefficient, but there is no unambiguous ordering among them. Finally, the more competitive the bidders are, the more likely the seller is to prefer uniform pricing over price discrimination, yet increased competition among bidders may or may not enhance efficiency.
Author: Richard Engelbrecht-Wiggans
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Yvan Lengwiler
Publisher:
ISBN:
Category : Auctions
Languages : en
Pages : 28
Get Book Here
Book Description
Author: Martin Bichler
Publisher: Cambridge University Press
ISBN: 1107135346
Category : Business & Economics
Languages : en
Pages : 935
Get Book Here
Book Description
An international team of experts covers the pros and cons of different auction formats and lessons learned in the field.
Author: Rafael Tenorio
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
I study a multiple unit auction where symmetric risk-neutral bidders choose prices and quantities endogenously. In the model, bidders (a) may place non-linear valuations on the auctioned units, and (b) bid for several units at the same price ("lumpy" bids). I characterize quantity-symmetric and strictly monotone-increasing price equilibria for discriminatory and competitive auctions, and show that (i) if quantity strategy profiles are equal across auctions revenue-equivalence holds, (ii) expected revenue is higher if bidders bid for the entire supply rather than for shares of it, and (iii) equilibrium allocations may fail to be Pareto-optimal.
Author: Anup K. Sen
Publisher:
ISBN:
Category :
Languages : en
Pages : 29
Get Book Here
Book Description
When a bid is placed on a package in a combinatorial auction (CA), the bid value must be large enough to ensure that the package remains in contention for inclusion in winning combinations in future. The Deadness Level (DL) of a package can serve as an ask price on a fresh bid that can be meaningfully placed on it. Package DL values in single-unit CAs are readily determined. In recent years, however, interest in multi-unit CAs has grown rapidly. The number of packages can be very large in this case, and bidders need greater guidance in estimating valuations. But the DL value of a package tends to creep upwards unsteadily as more bids are placed, and no closed form expression or computational method has been found for it as yet. Here we present for the first time an exact method for determining package DLs in the multi-unit case, assuming that an OR bidding language is being used. A dynamic programming implementation is described that enables fast incremental computations of ask prices after each bid. Experimental runs on simulated data and live data from a recent U.K. multi-unit spectrum auction show that the memory requirement is not excessive. Thus the proposed method could help to promote bidder participation in online multi-unit eBay-like CAs in the procurement and sale of commodities.
Author: Brian Baisa
Publisher:
ISBN:
Category :
Languages : en
Pages : 30
Get Book Here
Book Description
We compare equilibrium bidding in uniform-price and discriminatory auctions when a single large bidder (i.e., with multi-unit demand) competes against many small bidders, each with single-unit demands. We show that the large bidder prefers the discriminatory auction over the uniform-price auction, and we provide general conditions under which small bidders have the reverse preference. We also show that the discriminatory auction provides greater incentives for the large bidder to invest in increased capacity, while the uniform-price auction provides greater incentives for small bidders to enter the auction. We use examples to show that the efficiency and revenue rankings of the two auctions are ambiguous.
Author: Pak-Sing Choi
Publisher: Springer Nature
ISBN: 3030695751
Category : Business & Economics
Languages : en
Pages : 304
Get Book Here
Book Description
This textbook provides a short introduction to auction theory through exercises with detailed answer keys. Focusing on practical examples, this textbook offers over 80 exercises that predict bidders’ equilibrium behaviour in different auction formats, along with the seller’s strategic incentives to organize one auction format over the other. The book emphasizes game-theoretic tools, so students can apply similar tools to other auction formats. Also included are several exercises based on published articles, with the model reduced to its main elements and the question divided into several easy-to-answer parts. Little mathematical background in algebra and calculus is assumed, and most algebraic steps and simplifications are provided, making the text ideal for upper undergraduate and graduate students. The book begins with a discussion of second-price auctions, which can be studied without using calculus, and works through progressively more complicated auction scenarios: first-price auctions, all-pay auctions, third-price auctions, the Revenue Equivalence principle, common-value auctions, multi-unit auctions, and procurement auctions. Exercises in each chapter are ranked according to their difficulty, with a letter (A-C) next to the exercise title, which allows students to pace their studies accordingly. The authors also offer a list of suggested exercises for each chapter, for instructors teaching at varying levels: undergraduate, Masters, Ph.D. Providing a practical, customizable approach to auction theory, this textbook is appropriate for students of economics, finance, and business administration. This book may also be used for related classes such as game theory, market design, economics of information, contract theory, or topics in microeconomics.
Author: Vijay Krishna
Publisher: Elsevier
ISBN: 0080475965
Category : Business & Economics
Languages : en
Pages : 318
Get Book Here
Book Description
Auction Theory is the standard reference on auctions and the first source of authoritative information about multi-unit auctions. The book develops the main concepts of auction theory from scratch in a self-contained and theoretically rigorous manner. It explores auctions and competitive bidding as games of incomplete information through detailed examinations of themes central to auction theory. This book complements its superb presentation of auction theory with clear and concise proofs of all results on bidding strategies, efficiency, and revenue maximization. It provides discussions on auction-related subjects, including private value auctions; the Revenue Equivalence Principle; auctions with interdependent values; the Revenue Ranking (Linkage) Principle; mechanism design with interdependent values; bidding rings; multiple object auctions; equilibrium and efficiency with private values; and nonidentical objects. This book is essential reading for graduate students taking courses on auction theory, the economics of information, or the economics of incentives, as well as for any serious student of auctions. It will also appeal to professional economists or business analysts working in contract theory, experimental economics, industrial organization, and microeconomic theory. *The standard reference on auctions and the first source of authoritative information about multi-unit auctions*Explores auctions and competitive bidding as games of incomplete information*Uses accessible, detailed examinations of themes central to auction theory
Author: Edward J. Anderson
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Get Book Here
Book Description
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 with the uniform-price auction is that seemingly collusive equilibria can exist. We show that such outcomes are less likely if the traded volume of the auctioneer is uncertain. But if bidders are asymmetric ex-ante, then both a price áoor and a price cap are normally needed to get a unique equilibrium, which is well behaved.
