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Author: Dirk Bergemann
Publisher:
ISBN:
Category : Auctions
Languages : en
Pages : 0
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Book Description
We explore the impact of private information in sealed-bid first-price auctions. For a given symmetric and arbitrarily correlated prior distribution over values, we characterize the lowest winning-bid distribution that can arise across all information structures and equilibria. The information and equilibrium attaining this minimum leave bidders indifferent between their equilibrium bids and all higher bids. Our results provide lower bounds for bids and revenue with asymmetric distributions over values. We also report further characterizations of revenue and bidder surplus including upper bounds on revenue. Our work has implications for the identification of value distributions from data on winning bids and for the informationally robust comparison of alternative bidding mechanisms.
Author: Dirk Bergemann
Publisher:
ISBN:
Category : Auctions
Languages : en
Pages : 0
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Book Description
We explore the impact of private information in sealed-bid first-price auctions. For a given symmetric and arbitrarily correlated prior distribution over values, we characterize the lowest winning-bid distribution that can arise across all information structures and equilibria. The information and equilibrium attaining this minimum leave bidders indifferent between their equilibrium bids and all higher bids. Our results provide lower bounds for bids and revenue with asymmetric distributions over values. We also report further characterizations of revenue and bidder surplus including upper bounds on revenue. Our work has implications for the identification of value distributions from data on winning bids and for the informationally robust comparison of alternative bidding mechanisms.
Author: Dirk Bergemann
Publisher:
ISBN:
Category : Auction theory
Languages : en
Pages : 0
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Book Description
Author: Dirk Bergemann
Publisher:
ISBN:
Category : Auctions
Languages : en
Pages : 101
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Book Description
This paper explores the consequences of information in sealed bid first price auctions. For a given symmetric and arbitrarily correlated prior distribution over valuations, we characterize the set of possible outcomes that can arise in a Bayesian equilibrium for some information structure. In particular, we characterize maximum and minimum revenue across all information structures when bidders may not know their own values, and maximum revenue when they do know their values. Revenue is maximized when buyers know who has the highest valuation, but the highest valuation buyer has partial information about others' values. Revenue is minimized when buyers are uncertain about whether they will win or lose and incentive constraints are binding for all upward bid deviations. We provide further analytic results on possible welfare outcomes and report computational methods which work when we do not have analytic solutions. Many of our results generalize to asymmetric value distributions. We apply these results to study how entry fees and reserve prices impact the welfare bounds.
Author: Dirk Bergemann
Publisher:
ISBN:
Category :
Languages : en
Pages : 11
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Book Description
In a recent paper, [Bergemann et al. 2017a], we derive results about equilibrium behavior in the first-price auction that hold across all common-prior information structures. The purpose of this letter is to give an informal introduction into the results. At the end we offer a brief discussion of related work.
Author: John H. Kagel
Publisher: Princeton University Press
ISBN: 1400830133
Category : Business & Economics
Languages : en
Pages : 424
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Book Description
An invaluable account of how auctions work—and how to make them work Few forms of market exchange intrigue economists as do auctions, whose theoretical and practical implications are enormous. John Kagel and Dan Levin, complementing their own distinguished research with papers written with other specialists, provide a new focus on common value auctions and the "winner's curse." In such auctions the value of each item is about the same to all bidders, but different bidders have different information about the underlying value. Virtually all auctions have a common value element; among the burgeoning modern-day examples are those organized by Internet companies such as eBay. Winners end up cursing when they realize that they won because their estimates were overly optimistic, which led them to bid too much and lose money as a result. The authors first unveil a fresh survey of experimental data on the winner's curse. Melding theory with the econometric analysis of field data, they assess the design of government auctions, such as the spectrum rights (air wave) auctions that continue to be conducted around the world. The remaining chapters gauge the impact on sellers' revenue of the type of auction used and of inside information, show how bidders learn to avoid the winner's curse, and present comparisons of sophisticated bidders with college sophomores, the usual guinea pigs used in laboratory experiments. Appendixes refine theoretical arguments and, in some cases, present entirely new data. This book is an invaluable, impeccably up-to-date resource on how auctions work--and how to make them work.
Author: Paul Milgrom
Publisher: Cambridge University Press
ISBN: 1139449168
Category : Business & Economics
Languages : en
Pages : 378
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Book Description
This book provides a comprehensive introduction to modern auction theory and its important new applications. It is written by a leading economic theorist whose suggestions guided the creation of the new spectrum auction designs. Aimed at graduate students and professionals in economics, the book gives the most up-to-date treatments of both traditional theories of 'optimal auctions' and newer theories of multi-unit auctions and package auctions, and shows by example how these theories are used. The analysis explores the limitations of prominent older designs, such as the Vickrey auction design, and evaluates the practical responses to those limitations. It explores the tension between the traditional theory of auctions with a fixed set of bidders, in which the seller seeks to squeeze as much revenue as possible from the fixed set, and the theory of auctions with endogenous entry, in which bidder profits must be respected to encourage participation.
Author: Vijay Krishna
Publisher: Academic Press
ISBN: 012426297X
Category : Business & Economics
Languages : en
Pages : 319
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Book Description
"Vijay Krishna's book provides a very thorough and patient presentation of auction theory, starting from the most basic analysis and graduating to sophisticated, state of the art theory, including multi-unit auctions. This book covers a very wide range of auction topics, providing a clear and accessible treatment. The theory is presented in a careful and easily understood style accessible to honors undergraduates as well as all economics graduate students. Krishna's book will certainly become the central book on auction theory." --R. Preston McAfee, Murray S. Johnson Chair in Economics, University of Texas "This book not only sets out much of the theoretical literature on auctions-including results that are very recent-but does so with a clarity, elegance, and rigor that is characteristic of Vijay Krishna's work." --Eric Maskin, A.O. Hirschman Professor of Social Science, Institute for Advanced Study, Princeton, New Jersey "The book gives a superb presentation of auction theory, with clear and concise proofs of all results. It is essential reading for any serious student of auctions." --Peter Cramton, Professor of Economics, University of Maryland "This is the book we have been waiting for: a high level treatment of auction theory that carefully presents the technical details necessary for an in depth understanding of the main themes of auction theory, ideal as a basis for a graduate course, and by an author who has himself made important contributions to the subject." --Paul Klemperer, Edgeworth Professor of Economics, Nuffield College, University of Oxford, United Kingdom Through accessible, detailed examinations of themes central to auction theory, Vijay Krishna explores auctions and competitive bidding as games of incomplete information. His results on bidding strategies, efficiency, and revenue maximization and his clear proofs for each proposition make this book both the standard reference on auctions and the first source of authoritative information about multiunit auctions. Well organized and featuring straightforward intuition, Auction Theory's depth and breadth lay bare the complexity and utility of this growing field.
Author: David Easley
Publisher: Cambridge University Press
ISBN: 1139490303
Category : Computers
Languages : en
Pages : 745
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Book Description
Are all film stars linked to Kevin Bacon? Why do the stock markets rise and fall sharply on the strength of a vague rumour? How does gossip spread so quickly? Are we all related through six degrees of separation? There is a growing awareness of the complex networks that pervade modern society. We see them in the rapid growth of the internet, the ease of global communication, the swift spread of news and information, and in the way epidemics and financial crises develop with startling speed and intensity. This introductory book on the new science of networks takes an interdisciplinary approach, using economics, sociology, computing, information science and applied mathematics to address fundamental questions about the links that connect us, and the ways that our decisions can have consequences for others.
Author: Pak-Sing Choi
Publisher: Springer Nature
ISBN: 3030695751
Category : Business & Economics
Languages : en
Pages : 304
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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: David A. Malueg
Publisher:
ISBN:
Category :
Languages : en
Pages : 51
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Book Description
Equilibrium strategies are explicitly derived for a family of two-bidder common-value first-price auctions in which players have ex ante different information represented by finite partitions of the set of possible values for the object being sold. The distribution of bids for the ex post strong player stochastically dominates that for the ex post weak player. Comparison with the dominance-solvable equilibrium in a second-price auction shows the Milgrom-Weber finding that the second-price auction yields at least as much revenue as the first-price auction fails with asymmetry: in some cases the first-price auction provides greater expected revenue, in some cases less.
