Essays in Multi-unit Auction Theory

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ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.:/5 (546 download)

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Book Synopsis Essays in Multi-unit Auction Theory by : David Lloyd McAdams

Download or read book Essays in Multi-unit Auction Theory written by David Lloyd McAdams and published by . This book was released on 2001 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bidding Behaviour in Multi-Unit Auctions

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ISBN 13 :
Total Pages : pages
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Book Synopsis Bidding Behaviour in Multi-Unit Auctions by : Rebecca Catherine Elskamp

Download or read book Bidding Behaviour in Multi-Unit Auctions written by Rebecca Catherine Elskamp and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis contains three essays on the topic of bidding behaviour in multi-unit auctions. The first essay develops and experimentally tests multi-unit auction theory to identify the effects of "scaling up" multi-unit auction environments on individual bidding behaviour. A uniquely tractable environment is developed that leads to the construction of uniform auctions of different scales, where the prediction is that risk neutral bidders' bids on the last unit they demand are independent of scale. Two main effects were observed in the experimental data. Regardless of scale, bidders were found to bid more aggressively than predicted by the theory. Secondly, small scale effects were observed, as bids were more aggressive in the small scale relative to the larger scale treatment. The theoretical consequences of risk aversion, joy of winning, and anticipated regret are analyzed to explain these deviations from predictions. The second essay provides empirical evidence on how economic agents converge to optimality. Learning direction theory is applied to bidding behaviour from the Ontario dairy quota auction, following a change in pricing rule from uniform to discriminatory. Two dimensions of bidding behaviour are examined at the individual bidder level, bid prices and number of price-quantity bid pairs. Adjustments in bidding behaviour are broadly consistent with the ex-post rationality. Experience acquired under the discriminatory pricing rule is found to have diminishing effects on adjustments made to bidding behaviour, consistent with bidders converging towards optimality. The third essay examines the effect of two simultaneous policy changes, implemented in the Ontario dairy quota auction, to determine whether these changes were successful in achieving performance goals. Results of a series of regression models indicate that these two policy changes had no effect on clearing prices. Rather, these two policy changes were found to significantly reduce revenue from quantity purchased, total quantity transferred and total quantity offered. The combination of a significant reduction in bid prices and individual quantity demanded, paralleled by an increase in individual quantity offered appears to have been the underlying mechanisms, in terms of individual bidding/offering behaviour, through which the these two policies failed to meet performance goals.

Essays on Multi-unit Auctions

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ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Essays on Multi-unit Auctions by : Jinsoo Bae (Ph. D. in economics)

Download or read book Essays on Multi-unit Auctions written by Jinsoo Bae (Ph. D. in economics) and published by . This book was released on 2020 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chapter 3 studies a pro-competitive effect of joint bidding in multi-unit uniform price auctions where bidders have private values and demand different quantities of units. I analyze a simple model with three identical items for sale, two small bidders each demanding a single unit, and a big bidder demanding two units. I show that joint bidding of the two small bidders, which recovers the symmetry of bidders, enhances competition among the bidders and increases efficiency and revenue of the auction.

Two Essays on Bidding in Multi-unit Common Value Auctions

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ISBN 13 :
Total Pages : 91 pages
Book Rating : 4.:/5 (769 download)

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Book Synopsis Two Essays on Bidding in Multi-unit Common Value Auctions by : Minjie Shao

Download or read book Two Essays on Bidding in Multi-unit Common Value Auctions written by Minjie Shao and published by . This book was released on 2010 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation consists of two essays on the topic of bidding in multi-unit common value auction. Essay one examines the role of capacity constraint on the auction results and bidding behavior. We consider a general case where bidders are unconstrained, and a second setting where bidders are capacity constrained. We document downward sloping demand curves for individual bidders. Bidders shade their bids by submitting quantity-price pairs and spreading their bids. The winner's curse is strong in the unconstrained treatment, but we find no evidence of the winner's curse when bidding constraints are imposed. Unconstrained bidders shade bids significantly more and their quantity-weighted prices are much lower than those in the constrained treatment. Interacting with the information structure, the capacity constraint has a significant impact on the auction results including the market clearing price, market efficiency, and the degree of market concentration. We provide evidence that efficient price discovery in multi-unit auctions with diverse information is possible, but careful attention to auction design will make this outcome more likely. Essay two examines how the introduction of a noncompetitive bidding option affects outcomes in a multi-unit uniform-price auction. The experimental design incorporates many of the characteristics of the markets that pertain to the issuance of new equity securities. Important features of the bidding environment include endogenous bidder entry, costly information acquisition, bidders that differ by capacity constraint, and substantial uncertainty with respect to the intrinsic value. We use a standard uniform-price auction as our baseline setting where only competitive bids are accepted. Our results show that introducing the noncompetitive bidding option improves auction performance by increasing revenue and reducing price error. Underpricing is found in both treatments, but is less severe in the presence of the noncompetitive bidding option. The incorporation of this option significantly increases both the small bidder participation rate and allocation, and reduces the incentive for small bidders to free ride by submitting extremely high bids. Under both treatments, information acquisition increases large bidders' profits but proves unprofitable for small bidders, and pricing accuracy is increasing in the rate of information acquisition.

Sponsored Search and Sequential Auctions

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (115 download)

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Book Synopsis Sponsored Search and Sequential Auctions by : Emmanuel Lorenzon

Download or read book Sponsored Search and Sequential Auctions written by Emmanuel Lorenzon and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is a collection of three essays in theoretical auction analysis. Chapter 1 considersbid delegation in the GSP auction mechanism. In a game involving side-contracts and a compensationpolicy set by an agency, the first-best collusive outcome is achieved. We offer a characterization of the implementablebid profiles for the two-position game with three players. Chapter 2 considers the sequentialsale of an object to two buyers: one knows his private information and the other buyer does not. Buyershave a multi-unit demand and private valuations for each unit are perfectly correlated. An asymmetricequilibrium exists when the uninformed player adopts an aggressive bidding strategy. Conversely, hisinformed opponent behaves more conservatively by using bid shading. The bidding behaviour of theuninformed bidder is driven by the opportunity to learn his private valuation for free. This dynamic is atthe root of the decline in the equilibrium price across both sales. In chapter 3, information is observableduring the first-stage auction in a sequential-move game in which the first-mover bidder is observed byhis opponent. A separating equilibrium exists in which the informed bidder bids aggressively when he isthe first-mover which entails a non-participation strategy from his uninformed competitor. Conversely,the latter adopts a conservative behaviour when he is the first-mover. A pooling equilibrium in which theinformed bidder blurs his valuation can only exist if his uninformed opponent adopts a non-participatingstrategy.

Essays on Multi-item Auctions

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ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.:/5 (754 download)

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Book Synopsis Essays on Multi-item Auctions by : Rao Fu

Download or read book Essays on Multi-item Auctions written by Rao Fu and published by . This book was released on 2011 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, I explore bidders' behavior in multiple auctions which are conducted sequentially or simultaneously. The first and the second chapters examine buyers' bidding behaviors in an environment of multiple simultaneous auctions and show that the wildly-used assumption of proxy bidding is inappropriate in the multiple auction setting. The first chapter proposes two models which try to describe online auction platforms. One model has a fixed ending time and the other does not. I show that incremental bidding strategy can arise out of equilibrium and weakly dominate the proxy bidding strategy. Late bidding is also discussed. I use the data I collect from eBay to test these theoretical predictions in the second chapter. The estimation results basically support the theory part. Incremental bidders who switch among different auctions are more likely to win and have higher payoffs than proxy bidders. The third essay studies the procurement auctions in the Texas school milk market. I define score functions to map the bids from multiple dimensions to one dimension and analyze the factors that may affect the bids of school milk suppliers. After considering the impacts of these factors including backlogs and cost synergies, I can still find some evidences for existence of collusion among the bidders.

Three Essays on Auction Theory

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ISBN 13 :
Total Pages : 63 pages
Book Rating : 4.:/5 (747 download)

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Book Synopsis Three Essays on Auction Theory by : Xiaoshu Xu

Download or read book Three Essays on Auction Theory written by Xiaoshu Xu and published by . This book was released on 2011 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: My dissertation consists of three chapters in theoretical auction analysis. The first chapter considers optimal sequential auctions with new bidders arriving in each period. The second chapter examines how resale affects bidding strategies and auction outcomes in an auction environment with costly entry. The third chapter investigates how resale affects bidding strategies and auction outcomes in a sequential auction setting where the values of items auctioned in different periods exhibit synergies. The first chapter gives a full characterization of the optimal sequential second-price (or ascending English) auctions with sequentially arriving bidders. There are n bidders in the first period and m new bidders arrive in the second period. Based on the auctioneer's commitment power, we study two cases: full commitment and noncommitment. In both cases, we establish the existence of a symmetric equilibrium characterized by a threshold strategy - -a bidder does not bid in the first auction when her valuation is below this threshold and bids according to an increasing function otherwise. In the noncommitment case, the auctioneer chooses an optimal reserve price to maximize the expected revenue from the second period; thus her decision of whether to include previous bidders as potential buyers is endogenously determined by the reserve price in the first auction. This might create multiple equilibria depending on the beliefs of the auctioneer and the bidders. We apply a fairly intuitive rule to establish the uniqueness. We also extend our analysis to allow for opportunities for resale, where the winner in the first auction can opt to resell the item to new bidders. The second chapter, joint with Dan Levin and Lixin Ye, studies how resale affects auctions with costly entry in a model where an arbitrary number of bidders possess two-dimensional private information signals: entry costs and valuations. We establish the existence of symmetric entry equilibrium and identify sufficient conditions under which the equilibrium is unique. Our analysis suggests that the opportunity of resale induces motivation for both speculative entry and bargain hunting abstentions. By following the uniform distribution for numerical analysis, our results suggest that while the entry probability and efficiency are always higher when resale is allowed, the auctioneer's expected revenue is lower when resale is allowed for almost all parameter values. We also compare this model to one where bidders may follow "strong" or "weak" distributions in terms of valuations. The third chapter, joint with Dan Levin and Lixin Ye, studies a sequential second-price auction of two objects with two bidders, where the winner of the package obtains a synergy from the second object. If reselling after the two auctions occurs, it proceeds as either monopoly or monopsony take-it-or-leave-it offer. I find that a post-auction resale has a significant impact on bidding strategies in the auctions. When seller makes a take-it-or-leave-it offer in resale, there is no equilibrium where at least one bidder reveals her type with positive probability. When buyer makes the offer instead, there exist symmetric increasing equilibrium strategies for both items. While allowing resale always improves efficiency, I demonstrate that the effect of resale is ambiguous on expected revenue as Ill as the probability of exposure. I also extend this model to allow for three bidders and provide the equilibrium analysis.

Auction Theory

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Publisher : Academic Press
ISBN 13 : 0080922937
Total Pages : 337 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Auction Theory by : Vijay Krishna

Download or read book Auction Theory written by Vijay Krishna and published by Academic Press. This book was released on 2009-09-28 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Auction Theory, Second Edition improves upon his 2002 bestseller with a new chapter on package and position auctions as well as end-of-chapter questions and chapter notes. Complete proofs and new material about collusion complement Krishna’s ability to reveal the basic facts of each theory in a style that is clear, concise, and easy to follow. With the addition of a solutions manual and other teaching aids, the 2e continues to serve as the doorway to relevant theory for most students doing empirical work on auctions. Focuses on key auction types and serves as the doorway to relevant theory for those doing empirical work on auctions New chapter on combinatorial auctions and new analyses of theory-informed applications New chapter-ending exercises and problems of varying difficulties support and reinforce key points

Three Essays on Multi-round Procurement Auctions

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ISBN 13 :
Total Pages : 113 pages
Book Rating : 4.:/5 (768 download)

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Book Synopsis Three Essays on Multi-round Procurement Auctions by : Lu Ji

Download or read book Three Essays on Multi-round Procurement Auctions written by Lu Ji and published by . This book was released on 2006 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: My dissertation contributes to auction studies. It analyzes the bidding behavior in multi-round auctions. It is motivated by an interesting multi-round feature observed in the procurement auctions held by the Indiana Department of Transportation (INDOT hereafter), which adopts secret reserve prices. Prior research has indicated that auctions with reserve prices usually lead to no trade. However, prior research has not paid much attention to the possibility that the seller can auction unsold objects from previous rounds and a trade is therefore still likely to occur. My dissertation provides new theoretical and empirical analyses of auctions with multiple rounds. It first develops a game-theoretic bidding model for the multi-round auctions with non-forward looking bidders. It then establishes a structural econometric model in order to conduct a structural analysis of the INDOT data. Lastly it introduces dynamic features into the model by assuming that bidders are forward looking and uses a dynamic control approach to analyze the bidding behavior and policy issues. The main findings are: (1) rational bidders reduce their markup across periods in multi-round auctions; (2) simulations show that using secret reserve price is sometimes better than public reserve price for the procurement auctioneer; (3) counterfactual analyses indicate that on one hand, when bidders are not forward looking, it is better for the INDOT to use a secret reserve price; on the other hand, when bidders are forward looking, it is better for the INDOT to use a secret reserve price when the discount factor is low and to use a public reserve price when the discount factor is sufficiently high.

Putting Auction Theory to Work

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Publisher : Cambridge University Press
ISBN 13 : 1139449168
Total Pages : 378 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Putting Auction Theory to Work by : Paul Milgrom

Download or read book Putting Auction Theory to Work written by Paul Milgrom and published by Cambridge University Press. This book was released on 2004-01-12 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Three Essays on Auction Markets

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ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (252 download)

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Book Synopsis Three Essays on Auction Markets by : Nicholas James Shunda

Download or read book Three Essays on Auction Markets written by Nicholas James Shunda and published by . This book was released on 2008 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Essays on Market Design and Auction Theory

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (931 download)

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Book Synopsis Essays on Market Design and Auction Theory by : Seungwon (Eugene) Jeong

Download or read book Essays on Market Design and Auction Theory written by Seungwon (Eugene) Jeong and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation consists of three essays on market design and auction theory. In Chapter 1, I introduce new multidimensional auction mechanisms. In many auctions, because of externalities, each bidder has a different maximum willingness to pay in order to beat each specific competitor, which causes the following new problem. When there are three bidders, two bidders might compete against each other unnecessarily and have worse payoffs than if they had lost to the third bidder, i.e., the two bidders have "group winner regret, " which can also lead to inefficiency. While no one-dimensional-bid mechanism is efficient, the Vickrey-Clarke-Groves (VCG) may require losers to pay. This paper introduces a novel mechanism, the "multidimensional second-price" (MSP) auction (and its open ascending version), and characterizes it. MSP is free of a loser's payment, pairwise stable, and has good incentive properties, including no group winner regret. Moreover, the winner cannot win at any different price by any misreport, and a loser cannot be better off winning by any misreport. MSP is strategyproof for a bidder without externalities imposed by others, and it reduces to the second-price auction when there are no externalities. Simulations suggest that MSP outperforms the second-price auction in terms of both revenue and efficiency. In Chapter 2, I study properties of VCG when externalities exist, and introduce shill bidding strategies that weakly dominate truthful bidding. When externalities exist, VCG is efficient, incentive compatible, and individually rational. However, as occurs in package auctions without externalities, VCG outcomes may not be in the core. Moreover, VCG is not pairwise stable. Due to externalities, several additional problems occur. VCG may require losing bidders to pay, which might be undesirable. Also, it might be budget infeasible, and the auctioneer might need to pay the winner a subsidy. The subsidy problem can occur even when all bids are positive. Furthermore, unlike package auctions without externalities, there exists a shill bidding strategy that weakly dominates truthful bidding. In addition, when this shill bidding is used, there is no Nash equilibrium. Each bidder is better off using an infinite number of shills, which eventually makes VCG undefined. In Chapter 3, I study properties of VCG in the advertising auction setting. Even though VCG is incentive compatible (IC) in the advertising auction setting, the actual implementation of VCG in practice is not VCG per se. The main reason is that the price needs to be determined when the billing event happens at the same time as the estimation of click-through rate (CTR) or position discount (PD) is occurring. After all, advertising auctions charge the estimate of externalities. However, even in this "estimated" VCG (eVCG), CTR miscalibration does not ruin IC. Even when PD miscalibration exists, IC still holds with "perfect competition." Regarding efficiency and revenue, both CTR and PD miscalibrations matter. Interestingly, however, the revenue of the auctioneer does not necessarily decrease by underbidding.

Essays in Industrial Organization: Entry in Multi-Object Auctions and Freemium Packages in Two-sided Markets

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ISBN 13 :
Total Pages : 127 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Essays in Industrial Organization: Entry in Multi-Object Auctions and Freemium Packages in Two-sided Markets by : Renato Zaterka Giroldo

Download or read book Essays in Industrial Organization: Entry in Multi-Object Auctions and Freemium Packages in Two-sided Markets written by Renato Zaterka Giroldo and published by . This book was released on 2019 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first two chapters of this dissertation, I study the design of multi-object auctions. Using a large data set from the Brazilian public procurement sector, I show evidence that entry is costly and that the mix of products being auctioned off is a first-order effect to understand firm participation. In the first chapter, I find evidence that the data is consistent with a theory of selection. The average entrant has a higher product match with the session, and they are closer to auction locations. Distance affects entry decisions negatively: a 1 unit (100km) increase in the distance to the auction location lowers the odds ratio for entry 0.91 times. At the same time, an additional auction in the set of potential auctions of a firm increases the odds for entry 1.62 times. In terms of variable costs, a 1% increase in the distance to the auction location increases bid by 0.4% to 3.3%. There are also gains of scale in terms of the size of the contracts: a 1% increase in the contract quantity for a given product increases bids by 0.64% to 0.76%. The main force responsible for lowering procurement costs is the presence of additional bidders. I find that an extra bidder can lower costs between 21.2% and 32.4%. These results motivate and feed into the structural model presented in chapter 2. In the second chapter, I continue to analyze this market with the focus on estimating entry costs and answering policy questions. To do so, I build a novel model of endogenous entry in multi-object auction sessions that allows me to disentangle two forces that affect entry decisions: entry costs, and the menu of items of a given session. The model has two stages. In the first stage, firms decide whether to enter an auction session and pay a fixed cost after observing an imperfect signal of their true cost. In the second stage, both the items for which they can bid and their costs are realized, and the auction takes place. I focus the analysis on type symmetric equilibria, where bidders of the same type follow the same entry strategy. In equilibrium, marginal bidders make zero profits. This condition allows me to link the unobserved entry costs to the observed bid behavior of entrants. Having derived the equilibrium of the model, I estimate model fundamentals and turn to policy questions. The estimates provide evidence that entry is more attractive to local firms. I find that their cost distribution stochastically dominates the one from non-local firms. Moreover, conditioned on the number of items a firm can participate in, non-local firms face between 3.9% to 6.5% higher entry costs than local firms. I focus on two counterfactual simulations. In the fully efficient scenario, where firms do not incur any entry costs, I find that procurement costs would be lowered by 22.5% to 40.1%. These are bounds on the maximum cost savings and also quantifies the degree of inefficiency present in this market. The second counterfactual is a partially efficient scenario, where non-local firms face the same entry costs as local firms. This analysis focuses on a selected equilibrium where firms enter the sessions sequentially. Firms are sorted according to a lexicographic order which is determined by the strength of their signal, number of items, and firm type (non-local/local). I find that procurement costs would be lowered by 2.8% to 2.9%. Thus, on this type of equilibrium and by holding on-site auctions, the government indirectly sacrificed some efficiency to the benefit of local firms. In the third chapter, I study the pricing of platforms that offer consumers the choice between a free package, in which consumers are exposed to advertising, and a premium package, in which they pay to not be exposed to advertisements. I characterize its profit-maximizing and Pigouvian pricing, which allows me to analyze the degree to which the platform incorporates consumers' distaste for advertising in its pricing scheme, as well as the trade-offs that emerge between the free and paid packages. The results contribute to the discussion of consumers' overexposure to advertising when platforms behave as a social planner and maximize their value.

Empirical Essays on Auctions of Brazilian Treasury Securities

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (931 download)

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Book Synopsis Empirical Essays on Auctions of Brazilian Treasury Securities by :

Download or read book Empirical Essays on Auctions of Brazilian Treasury Securities written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Auction Theory

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Publisher : Springer Nature
ISBN 13 : 3030695751
Total Pages : 304 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Auction Theory by : Pak-Sing Choi

Download or read book Auction Theory written by Pak-Sing Choi and published by Springer Nature. This book was released on 2021-05-24 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Essays on the Theory and Estimation of Auction Models

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Publisher :
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Essays on the Theory and Estimation of Auction Models by : Leonardo Rezende

Download or read book Essays on the Theory and Estimation of Auction Models written by Leonardo Rezende and published by . This book was released on 2003 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Three Essays on Auctions and Bargaining

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ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Three Essays on Auctions and Bargaining by : Yumiko Baba

Download or read book Three Essays on Auctions and Bargaining written by Yumiko Baba and published by . This book was released on 1997 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: