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Pricing Rule in a Clock Auction
Decision Analysis informs ® Vol. 7, No. 1, March 2010, pp. 40–57 issn 1545-8490 eissn 1545-8504 10 0701 0040 doi 10.1287/deca.1090.0161 © 2010 INFORMS Pricing Rule in a Clock Auction Peter Cramton, Pacharasut Sujarittanonta Department of Economics, University of Maryland, College Park, Maryland 20742 {[email protected], [email protected]} e analyze a discrete clock auction with lowest-accepted-bid (LAB) pricing and provisional winners, as Wadopted by India for its 3G spectrum auction. In a perfect Bayesian equilibrium, the provisional winner shades her bid, whereas provisional losers do not. Such differential shading leads to inefficiency. An auction with highest-rejected-bid (HRB) pricing and exit bids is strategically simple, has no bid shading, and is fully efficient. In addition, it has higher revenues than the LAB auction, assuming profit-maximizing bidders. The bid shading in the LAB auction exposes a bidder to the possibility of losing the auction at a price below the bidder’s value. Thus, a fear of losing at profitable prices may cause bidders in the LAB auction to bid more aggressively than predicted, assuming profit-maximizing bidders. We extend the model by adding an anticipated loser’s regret to the payoff function. Revenue from the LAB auction yields higher expected revenue than the HRB auction when bidders’ fear of losing at profitable prices is sufficiently strong. This would provide one explanation why India, with an expressed objective of revenue maximization, adopted the LAB auction for its upcoming 3G spectrum auction, rather than the seemingly superior HRB auction. Key words: auctions; clock auctions; spectrum auctions; behavioral economics; market design History: Received on April 16, 2009. -
MICROECONOMICS and POLICY ANALYSIS - U8213 Professor Rajeev H
MICROECONOMICS AND POLICY ANALYSIS - U8213 Professor Rajeev H. Dehejia Class Notes - Spring 2001 Auctions Wednesday, February 14 Reading: Handout, Thaler, Milgram There are two basic forms of auctions: Sealed bid submissions and open bids. In a sealed bid auction individuals do not know what others are bidding. Two types of Sealed Bid Auctions: 1st Price sealed bid auction: The highest bid submitted will be the winning bid. The winner pays what he/she bid. 2nd Price sealed bid auction: Everyone submits sealed bids and the winner is the one who submits the highest bid BUT the price paid by the winner is the 2nd highest bid submitted. Two types of open auctions: English auction: The bidding starts low and incrementally rises until someone is the highest bidder and no one is willing to outbid the highest bidder. Dutch auction: The price starts very high and is keeps going down until someone bids. The first person to bid wins. Why Study Auctions? 1) Auctions can be an efficient method of valuing goods. For example: rights to air waves, signals and bandwidth. The government auctioned off parts of the spectrum in anticipation of new technology. The auctions were appealing because well- structured auctions get people to reveal the true valuation of the good. The company (private entity) actually ends up paying to the government what the good is worth to them. It turned out with these auctions that the willingness to pay for a slice of the spectrum, as revealed by the auction outcome, was much higher than expected. 2) Procurement: Governments and entities want to procure goods and services at the lowest possible price (like an auction in reverse). -
Obviousness Around the Clock
A Service of Leibniz-Informationszentrum econstor Wirtschaft Leibniz Information Centre Make Your Publications Visible. zbw for Economics Breitmoser, Yves; Schweighofer-Kodritsch, Sebastian Working Paper Obviousness around the clock WZB Discussion Paper, No. SP II 2019-203 Provided in Cooperation with: WZB Berlin Social Science Center Suggested Citation: Breitmoser, Yves; Schweighofer-Kodritsch, Sebastian (2019) : Obviousness around the clock, WZB Discussion Paper, No. SP II 2019-203, Wissenschaftszentrum Berlin für Sozialforschung (WZB), Berlin This Version is available at: http://hdl.handle.net/10419/195919 Standard-Nutzungsbedingungen: Terms of use: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Documents in EconStor may be saved and copied for your Zwecken und zum Privatgebrauch gespeichert und kopiert werden. personal and scholarly purposes. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle You are not to copy documents for public or commercial Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich purposes, to exhibit the documents publicly, to make them machen, vertreiben oder anderweitig nutzen. publicly available on the internet, or to distribute or otherwise use the documents in public. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, If the documents have been made available under an Open gelten abweichend von diesen Nutzungsbedingungen die in der dort Content Licence (especially Creative Commons Licences), you genannten Lizenz gewährten Nutzungsrechte. may exercise further usage rights as specified in the indicated licence. www.econstor.eu Yves Breitmoser Sebastian Schweighofer-Kodritsch Obviousness around the clock Put your Research Area and Unit Discussion Paper SP II 2019–203 March 2019 WZB Berlin Social Science Center Research Area Markets and Choice Research Unit Market Behavior Wissenschaftszentrum Berlin für Sozialforschung gGmbH Reichpietschufer 50 10785 Berlin Germany www.wzb.eu Copyright remains with the author(s). -
A Fair and Secure Reverse Auction for Government Procurement
sustainability Article A Fair and Secure Reverse Auction for Government Procurement Chia-Chen Lin 1,*, Ya-Fen Chang 2, Chin-Chen Chang 3 and Yao-Zhu Zheng 4 1 Department of Computer Science and Information Engineering, National Chin-Yi University of Technology, Taichung 41170, Taiwan 2 Department of Computer Science and Information Engineering, National Taichung University of Science and Technology, Taichung 40401, Taiwan; [email protected] 3 Department of Information Engineering and Computer Science, Feng Chia University, Taichung 40724, Taiwan; [email protected] 4 Department of Computer Science, National Tsing Hua University, Hsinchu 30013, Taiwan; [email protected] * Correspondence: [email protected] Received: 21 August 2020; Accepted: 12 October 2020; Published: 16 October 2020 Abstract: With the development of e-commerce, the electronic auction is attracting the attention of many people. Many Internet companies, such as eBay and Yahoo!, have launched online auction systems. Many researchers have studied the security problems of electronic auction systems, but few of them are multi-attribute-based. In 2014, Shi proposed a provable secure, sealed-bid, and multi-attribute auction protocol based on the semi-honest model. We evaluated this protocol and found that it has some design weaknesses and is vulnerable to the illegal operations of buyers, which results in unfairness. In this paper, we improved this protocol by replacing the Paillier’s cryptosystem with the elliptic curve discrete (ECC), and we designed a novel, online, and multi-attribute reverse-auction system using the semi-honest model. In our system, sellers’ identities are not revealed to the buyers, and the buyers cannot conduct illegal operations that may compromise the fairness of the auction. -
Integrating the Structural Auction Approach and Traditional Measures of Market Power
Integrating the Structural Auction Approach and Traditional Measures of Market Power Emílio Tostão Department of Agricultural Economics Oklahoma State University 535 Ag. Hall, Stillwater, OK 74078-6026 Email: [email protected] Chanjin Chung Department of Agricultural Economics Oklahoma State University 322 Ag. Hall, Stillwater, OK 74078-6026 Email: [email protected] B. Wade Brorsen Department of Agricultural Economics Oklahoma State University 414 Ag. Hall, Stillwater, OK 74078-6026 Email: [email protected] Selected Paper prepared for presentation at the American Agricultural Economics Association Annual Meeting, Long Beach, California, July 23-26, 2006. Copyright by Emílio Tostão , Chanjin Chung, and B . Wade Brorsen . All rights reserved . Readers may make verbatim copies of this document for non commercial purposes by any means , provided that this copyright notice appears on all such copies . 1 Integrating the Structural Auction Approach and Traditional Measures of Market Power Abstract This study asks the question, what is the relationship between traditional models of market power and structural auction models? An encompassing model is derived that considers both price markdowns due to bid shading during an auction and price markdowns at the industry-level due to imperfect competition. Data from a cattle procurement experimental market is used to compare the appropriateness of the two alternative theories. Regression results show that while the number of firms is more important than the number of bidders on lot of cattle in explaining pricing behavior in the game, the number of bidders does contain some unique information and should be included in the model. Both the traditional NEIO and structural auction approaches overestimated the true markdowns possibly due to failure to account for the winners curse. -
Putting Auction Theory to Work
Putting Auction Theory to Work Paul Milgrom With a Foreword by Evan Kwerel © 2003 “In Paul Milgrom's hands, auction theory has become the great culmination of game theory and economics of information. Here elegant mathematics meets practical applications and yields deep insights into the general theory of markets. Milgrom's book will be the definitive reference in auction theory for decades to come.” —Roger Myerson, W.C.Norby Professor of Economics, University of Chicago “Market design is one of the most exciting developments in contemporary economics and game theory, and who can resist a master class from one of the giants of the field?” —Alvin Roth, George Gund Professor of Economics and Business, Harvard University “Paul Milgrom has had an enormous influence on the most important recent application of auction theory for the same reason you will want to read this book – clarity of thought and expression.” —Evan Kwerel, Federal Communications Commission, from the Foreword For Robert Wilson Foreword to Putting Auction Theory to Work Paul Milgrom has had an enormous influence on the most important recent application of auction theory for the same reason you will want to read this book – clarity of thought and expression. In August 1993, President Clinton signed legislation granting the Federal Communications Commission the authority to auction spectrum licenses and requiring it to begin the first auction within a year. With no prior auction experience and a tight deadline, the normal bureaucratic behavior would have been to adopt a “tried and true” auction design. But in 1993 there was no tried and true method appropriate for the circumstances – multiple licenses with potentially highly interdependent values. -
Lecture Notes
601.436/636 Algorithmic Game Theory Lecturer: Michael Dinitz Topic: Online Auctions Date: 4/28/20 Scribe: Michael Dinitz 24.1 Introduction So far all of our mechanism have been \one-shot": we run an auction by soliciting bids and then deciding on an outcome and prices. This is intuitively a pretty good model of what we think of as an \auction". But let's think of another setting: we're selling items in a store. Then players will enter our store, make us an offer, and leave the store. Clearly if we sell an item to a player then we cannot later sell the same item to someone else, and if a player leaves the store then we cannot afterwards sell them the item. So our decisions are irrevocable. This is a classical setting for online algorithms, so today we'll be considering online mechanisms which combine online algorithms with incentives. 24.2 Example Suppose that we're selling two identical items. Each bidder wants one item (they don't care which) and has a valuation for how much they value an item (the same value for both, since they're identical), but also has an arrival and departure time. Suppose that there are three bidders. Bidder 1 has a valuation of 100, arrival time of noon (12pm), and departure time of 2pm. Bidder 2 has valuation 80, arrival time of noon, and departure time of 2pm. Bidder 3 has valuation of 60, arrival time of 1pm, and departure time of 2pm. If we were in the old setting, without arrival and departure times, it's pretty easy to use VCG to figure out what to do. -
Shill Bidding in English Auctions
Shill Bidding in English Auctions Wenli Wang Zoltan´ Hidvegi´ Andrew B. Whinston Decision and Information Analysis, Goizueta Business School, Emory University, Atlanta, GA, 30322 Center for Research on Electronic Commerce, Department of MSIS, The University of Texas at Austin, Austin, TX 78712 ¡ wenli [email protected] ¡ [email protected] [email protected] First version: January, 2001 Current revision: September 6, 2001 Shill bidding in English auction is the deliberate placing bids on the seller’s behalf to artificially drive up the price of his auctioned item. Shill bidding has been known to occur in auctions of high-value items like art and antiques where bidders’ valuations differ and the seller’s payoff from fraud is high. We prove that private- value English auctions with shill bidding can result in a higher expected seller profit than first and second price sealed-bid auctions. To deter shill bidding, we introduce a mechanism which makes shill bidding unprofitable. The mechanism emphasizes the role of an auctioneer who charges the seller a commission fee based on the difference between the winning bid and the seller’s reserve. Commission rates vary from market to market and are mathematically determined to guarantee the non-profitability of shill bidding. We demonstrate through examples how this mechanism works and analyze the seller’s optimal strategy. The Internet provides auctions accessible to the general pub- erature on auction theories, which currently are insufficient to lic. Anyone can easily participate in online auctions, either as guide online practices. a seller or a buyer, and the value of items sold ranges from a One of the emerging issues is shill bidding, which has become few dollars to millions. -
Demand Reduction and Inefficiency in Multi-Unit Auctions
The Review of Economic Studies Advance Access published July 28, 2014 Review of Economic Studies (2014) 0, 1–35 doi:10.1093/restud/rdu023 © The Author 2014. Published by Oxford University Press on behalf of The Review of Economic Studies Limited. Demand Reduction and Inefficiency in Multi-Unit Auctions Downloaded from LAWRENCE M. AUSUBEL University of Maryland http://restud.oxfordjournals.org/ PETER CRAMTON University of Maryland MAREK PYCIA UCLA MARZENA ROSTEK University of Wisconsin-Madison at University of Wisconsin-Madison Libraries on October 27, 2014 and MAREK WERETKA University of Wisconsin-Madison First version received July 2010; final version accepted April 2014 (Eds.) Auctions often involve the sale of many related goods: Treasury, spectrum, and electricity auctions are examples. In multi-unit auctions, bids for marginal units may affect payments for inframarginal units, giving rise to “demand reduction” and furthermore to incentives for shading bids differently across units. We establish that such differential bid shading results generically in ex post inefficient allocations in the uniform-price and pay-as-bid auctions. We also show that, in general, the efficiency and revenue rankings of the two formats are ambiguous. However, in settings with symmetric bidders, the pay-as-bid auction often outperforms. In particular, with diminishing marginal utility, symmetric information and linearity, it yields greater expected revenues. We explain the rankings through multi-unit effects, which have no counterparts in auctions with unit demands. We attribute the new incentives separately to multi-unit (but constant) marginal utility and to diminishing marginal utility. We also provide comparisons with the Vickrey auction. Key words: Multi-Unit Auctions, Demand Reduction, Treasury Auctions, Electricity Auctions JEL Codes: D44, D82, D47, L13, L94 1. -
Ascending Auctions with Package Bidding
Frontiers of Theoretical Economics Volume 1, Issue 1 2002 Article 1 Ascending Auctions with Package Bidding Lawrence M. Ausubel∗ Paul R. Milgrom† ∗University of Maryland, [email protected] †Stanford University, [email protected] Copyright c 2002 by the authors. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, elec- tronic, mechanical, photocopying, recording, or otherwise, without the prior written permis- sion of the publisher, bepress, which has been given certain exclusive rights by the author. Frontiers of Theoretical Economics is produced by The Berkeley Electronic Press (bepress). http://www.bepress.com/bejte Ascending Auctions with Package Bidding Lawrence M. Ausubel and Paul R. Milgrom Abstract A family of ascending package auction models is introduced in which bidders may determine their own packages on which to bid. In the proxy auction (revelation game) versions, the outcome is a point in the core of the exchange economy for the reported preferences. When payoffs are linear in money and goods are substitutes, sincere reporting constitutes a Nash equilibrium and the outcome coincides with the Vickrey auction outcome. Even when goods are not substitutes, ascending proxy auction equilibria lie in the core with respect to the true preferences. Compared to the Vickrey auction, the proxy auctions generate higher equilibrium revenues, are less vulnerable to shill bidding and collusion, can handle budget constraints much more robustly, and may provide better ex ante investment incentives. KEYWORDS: auction theory, FCC auctions, package bidding, combinatorial bidding, activity rule, bid Improvement rule, e-commerce, electronic commerce Ausubel and Milgrom: Ascending Package Auctions 1. -
Handout 21: “You Can't Handle the Truth!”
CSCE 475/875 Multiagent Systems Handout 21: “You Can’t Handle the Truth!” October 24, 2017 (Based on Shoham and Leyton-Brown 2011) Independent Private Value (IPV) To analyze properties of the various auction protocols, let’s first consider agents’ valuations of goods: their utilities for different allocations of the goods. Auction theory distinguishes between a number of different settings here. One of the best-known and most extensively studied is the independent private value (IPV) setting. In this setting all agents’ valuations are drawn independently from the same (commonly known) distribution, and an agent’s type (or “signal”) consists only of its own valuation, giving itself no information about the valuations of the others. An example where the IPV setting is appropriate is in auctions consisting of bidders with personal tastes who aim to buy a piece of art purely for their own enjoyment. (Note: Also think about the common-value assumption. Resale value!) Second-price, Japanese, and English auctions Theorem 11.1.1 In a second-price auction where bidders have independent private values, truth telling is a dominant strategy. Proof. Assume that all bidders other than i bid in some arbitrary way, and consider i’s best response. First, consider the case where i’s valuation is larger than the highest of the other bidders’ bids. In this case i would win and would pay the next-highest bid amount. Could i be better off by bidding dishonestly in this case? • If i bid higher, i would still win and would still pay the same amount. • If i bid lower, i would either still win and still pay the same amount or lose and pay zero. -
Auctions & Competitive Bidding
Auctions & Competitive Bidding When planned and executed appropriately, auctions and other competitive market mechanisms can achieve important objectives in selling or acquiring products, assets, resources, rights, and obligations. However, expertise, experience, and reputation are needed to ensure success. For two decades, CRA has designed, conducted, and monitored high-stakes auctions and other competitive transaction mechanisms in many industries and in more than a dozen countries. Our consultants also have helped clients participate successfully in auctions. Whether you want to maximize the value of your assets, minimize your procurement costs, or achieve other objectives, you’ll find the expertise, experience, reputation, and support you need at CRA. Full range of services software such as our Auction Management System (AMS), CRA provides a complete range of services to ensure success. demos, mock auctions, training, and hosting services for auctions We combine theory, market analysis, business principles, and and other trading events. We use our multilingual capabilities practical experience tailored to industry realities in developing and experience to conduct trading events in several languages. and implementing strategies and market mechanisms that best CRA has designed and managed more than 150 successful meet clients’ objectives. We achieve lower information and trading events with transaction values ranging from hundreds transaction costs, improved market information, increased of thousands to billions of dollars. value, lower costs, and improved price realizations that benefit sellers and buyers. This enhances seller-buyer relationships and Auction software, trading platforms, and hosting enables market participants to make better business decisions, CRA develops and customizes software applications, systems, invest their resources and assets more profitably, and manage trading platforms, and tools used to manage auctions and their risks better.