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Bilateral K+1-price Auctions with Asymmetric Shares and Values

Author : Cédric Wasser
Publisher :
Page : 38 pages
File Size : 33,30 MB
Release : 2014
Category :
ISBN :

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We study a sealed-bid auction between two bidders with asymmetric independent private values. The two bidders own asymmetric shares in a partnership. The higher bidder buys the lower bidder's shares at a per-unit price that is a convex combination of the two bids. The weight of the lower bid is denoted by k in [0,1]. We partially characterize equilibrium strategies and show that they are closely related to equilibrium strategies of two well-studied mechanisms: the double auction between a buyer and a seller and the first-price auction between two buyers (or two sellers). Combining results from those two branches of the literature enables us to prove equilibrium existence. Moreover, we find that there is a continuum of equilibria if k in (0,1) whereas the equilibrium is unique if k in {0,1}. Our approach also suggests a procedure for numerical simulations.

Common Value Auctions and the Winner's Curse

Author : John H. Kagel
Publisher : Princeton University Press
Page : 424 pages
File Size : 48,73 MB
Release : 2009-04-11
Category : Business & Economics
ISBN : 1400830133

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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.

Putting Auction Theory to Work

Author : Paul Milgrom
Publisher : Cambridge University Press
Page : 378 pages
File Size : 13,59 MB
Release : 2004-01-12
Category : Business & Economics
ISBN : 1139449168

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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.

A Primer on Auction Design, Management, and Strategy

Author : David J. Salant
Publisher : MIT Press
Page : 199 pages
File Size : 19,97 MB
Release : 2014-12-19
Category : Business & Economics
ISBN : 0262028263

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A guide to modeling and analyzing auctions, with the applications of game theory and auction theory to real-world auction decision making. Auctions are highly structured market transactions primarily used in thin markets (markets with few participants and infrequent transactions). In auctions, unlike most other markets, offers and counteroffers are typically made within a structure defined by a set of rigid and comprehensive rules. Because auctions are essentially complex negotiations that occur within a fully defined and rigid set of rules, they can be analyzed by game theoretic models more accurately and completely than can most other types of market transactions. This book offers a guide for modeling, analyzing, and predicting the outcomes of auctions, focusing on the application of game theory and auction theory to real-world auction design and decision making. After a brief introduction to fundamental concepts from game theory, the book explains some of the more significant results from the auction theory literature, including the revenue (or payoff) equivalence theorem, the winner's curse, and optimal auction design. Chapters on auction practice follow, addressing collusion, competition, information disclosure, and other basic principles of auction management, with some discussion of auction experiments and simulations. Finally, the book covers auction experience, with most of the discussion centered on energy and telecommunications auctions, which have become the proving ground for many new auction designs. A clear and concise introduction to auctions, auction design, and auction strategy, this Primer will be an essential resource for students, researchers, and practitioners.

Game Theory

Author : Drew Fudenberg
Publisher : MIT Press
Page : 616 pages
File Size : 31,49 MB
Release : 1991-08-29
Category : Business & Economics
ISBN : 0262303760

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This advanced text introduces the principles of noncooperative game theory in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. This advanced text introduces the principles of noncooperative game theory—including strategic form games, Nash equilibria, subgame perfection, repeated games, and games of incomplete information—in a direct and uncomplicated style that will acquaint students with the broad spectrum of the field while highlighting and explaining what they need to know at any given point. The analytic material is accompanied by many applications, examples, and exercises. The theory of noncooperative games studies the behavior of agents in any situation where each agent's optimal choice may depend on a forecast of the opponents' choices. "Noncooperative" refers to choices that are based on the participant's perceived selfinterest. Although game theory has been applied to many fields, Fudenberg and Tirole focus on the kinds of game theory that have been most useful in the study of economic problems. They also include some applications to political science. The fourteen chapters are grouped in parts that cover static games of complete information, dynamic games of complete information, static games of incomplete information, dynamic games of incomplete information, and advanced topics.

Auctions

Author : Paul Klemperer
Publisher : Princeton University Press
Page : 263 pages
File Size : 20,56 MB
Release : 2018-06-05
Category : Business & Economics
ISBN : 0691186294

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Governments use them to sell everything from oilfields to pollution permits, and to privatize companies; consumers rely on them to buy baseball tickets and hotel rooms, and economic theorists employ them to explain booms and busts. Auctions make up many of the world's most important markets; and this book describes how auction theory has also become an invaluable tool for understanding economics. Auctions: Theory and Practice provides a non-technical introduction to auction theory, and emphasises its practical application. Although there are many extremely successful auction markets, there have also been some notable fiascos, and Klemperer provides many examples. He discusses the successes and failures of the one-hundred-billion dollar "third-generation" mobile-phone license auctions; he, jointly with Ken Binmore, designed the first of these. Klemperer also demonstrates the surprising power of auction theory to explain seemingly unconnected issues such as the intensity of different forms of industrial competition, the costs of litigation, and even stock trading 'frenzies' and financial crashes. Engagingly written, the book makes the subject exciting not only to economics students but to anyone interested in auctions and their role in economics.

Limit Order Books

Author : Frédéric Abergel
Publisher : Cambridge University Press
Page : 242 pages
File Size : 35,39 MB
Release : 2016-05-09
Category : Mathematics
ISBN : 1316870480

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A limit order book is essentially a file on a computer that contains all orders sent to the market, along with their characteristics such as the sign of the order, price, quantity and a timestamp. The majority of organized electronic markets rely on limit order books to store the list of interests of market participants on their central computer. A limit order book contains all the information available on a specific market and it reflects the way the market moves under the influence of its participants. This book discusses several models of limit order books. It begins by discussing the data to assess their empirical properties, and then moves on to mathematical models in order to reproduce the observed properties. Finally, the book presents a framework for numerical simulations. It also covers important modelling techniques including agent-based modelling, and advanced modelling of limit order books based on Hawkes processes. The book also provides in-depth coverage of simulation techniques and introduces general, flexible, open source library concepts useful to readers studying trading strategies in order-driven markets.

Treasury Bill Auctions

Author : Mr.Carlo Cottarelli
Publisher : International Monetary Fund
Page : 70 pages
File Size : 44,13 MB
Release : 1994-11-01
Category : Business & Economics
ISBN : 1451855648

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We review the main issues that arise in the design of treasury bill auctions and survey the relevant empirical literature. We also provide a detailed description of the actual design of these auctions in a sample of 42 industrial and developing countries.

Contract Theory

Author : Patrick Bolton
Publisher : MIT Press
Page : 746 pages
File Size : 11,87 MB
Release : 2004-12-10
Category : Business & Economics
ISBN : 9780262025768

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A comprehensive introduction to contract theory, emphasizing common themes and methodologies as well as applications in key areas. Despite the vast research literature on topics relating to contract theory, only a few of the field's core ideas are covered in microeconomics textbooks. This long-awaited book fills the need for a comprehensive textbook on contract theory suitable for use at the graduate and advanced undergraduate levels. It covers the areas of agency theory, information economics, and organization theory, highlighting common themes and methodologies and presenting the main ideas in an accessible way. It also presents many applications in all areas of economics, especially labor economics, industrial organization, and corporate finance. The book emphasizes applications rather than general theorems while providing self-contained, intuitive treatment of the simple models analyzed. In this way, it can also serve as a reference for researchers interested in building contract-theoretic models in applied contexts.The book covers all the major topics in contract theory taught in most graduate courses. It begins by discussing such basic ideas in incentive and information theory as screening, signaling, and moral hazard. Subsequent sections treat multilateral contracting with private information or hidden actions, covering auction theory, bilateral trade under private information, and the theory of the internal organization of firms; long-term contracts with private information or hidden actions; and incomplete contracts, the theory of ownership and control, and contracting with externalities. Each chapter ends with a guide to the relevant literature. Exercises appear in a separate chapter at the end of the book.