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Approximately-optimal Mechanisms in Auction Design, Search Theory, and Matching Markets

Approximately-optimal Mechanisms in Auction Design, Search Theory, and Matching Markets PDF Author: Hedyeh Beyhaghi
Publisher:
ISBN:
Category :
Languages : en
Pages : 179

Book Description
Algorithmic mechanism design is an interdisciplinary field, concerned with the design of algorithms that are used by strategic agents. This field has applications in many real-world settings, such as auction design, search problems, and matching markets. In this thesis we study the mechanisms in these areas through lenses of simplicity and practicality. We pursue two main directions: study the strength of simple mechanisms, and improve the efficiency of practical mechanisms. In auction design, we consider a setting where a seller wants to sell many items to many buyers, and establish a tight gap between the efficiency of a simple and commonly-used auction with the complicated revenue-optimal auction. In search theory context, we introduce Pandora's problem with alternative inspections and provide the first approximately-optimal mechanism for this problem. In Pandora's problem with alternative inspections, a searcher wants to select one out of n elements whose values are unknown ahead of time. The searcher evaluates the elements one by one and can choose among different costly ways to evaluate each element, the order to evaluate the elements, and how long to continue the search, in order to maximize her utility. In matching markets, we propose theoretical models that closely capture the participant behaviors in the real world, and provide methods to optimize the already implemented mechanisms.

Approximately-optimal Mechanisms in Auction Design, Search Theory, and Matching Markets

Approximately-optimal Mechanisms in Auction Design, Search Theory, and Matching Markets PDF Author: Hedyeh Beyhaghi
Publisher:
ISBN:
Category :
Languages : en
Pages : 179

Book Description
Algorithmic mechanism design is an interdisciplinary field, concerned with the design of algorithms that are used by strategic agents. This field has applications in many real-world settings, such as auction design, search problems, and matching markets. In this thesis we study the mechanisms in these areas through lenses of simplicity and practicality. We pursue two main directions: study the strength of simple mechanisms, and improve the efficiency of practical mechanisms. In auction design, we consider a setting where a seller wants to sell many items to many buyers, and establish a tight gap between the efficiency of a simple and commonly-used auction with the complicated revenue-optimal auction. In search theory context, we introduce Pandora's problem with alternative inspections and provide the first approximately-optimal mechanism for this problem. In Pandora's problem with alternative inspections, a searcher wants to select one out of n elements whose values are unknown ahead of time. The searcher evaluates the elements one by one and can choose among different costly ways to evaluate each element, the order to evaluate the elements, and how long to continue the search, in order to maximize her utility. In matching markets, we propose theoretical models that closely capture the participant behaviors in the real world, and provide methods to optimize the already implemented mechanisms.

Market Design

Market Design PDF Author: Guillaume Haeringer
Publisher: MIT Press
ISBN: 0262345099
Category : Business & Economics
Languages : en
Pages : 393

Book Description
A broad overview of market mechanisms, with an emphasis on the interplay between theory and real-life applications; examples range from eBay auctions to school choice. This book offers an introduction to market design, providing students with a broad overview of issues related to the design and analysis of market mechanisms. It defines a market as a demand and a supply, without specifying a price system or mechanism. This allows the text to analyze a broad set of situations—including such unconventional markets as college admissions and organ donation—and forces readers to pay attention to details that might otherwise be overlooked. Students often complain that microeconomics is too abstract and disconnected from reality; the study of market design shows how theory can help solve existing, real-life problems. The book focuses on the interplay between theory and applications. To keep the text as accessible as possible, special effort has been made to minimize formal description of the models while emphasizing the intuitive, with detailed explanations and resolution of examples. Appendixes offer general reviews of elements of game theory and mechanism design that are related to the themes explored in the book, presenting the basic concepts with as many explanations and illustrations as possible. The book covers topics including the basics of simple auctions; eBay auctions; Vickrey–Clarke–Groves auctions; keyword auctions, with examples from Google and Facebook; spectrum auctions; financial markets, with discussions of treasury auctions and IPOs; trading on the stock market; the basic matching model; medical match; assignment problems; probabilistic assignments; school choice; course allocation, with examples from Harvard and Wharton; and kidney exchange.

Putting Auction Theory to Work

Putting Auction Theory to Work PDF Author: Paul Milgrom
Publisher: Cambridge University Press
ISBN: 1139449168
Category : Business & Economics
Languages : en
Pages : 378

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.

Market Design

Market Design PDF Author: Martin Bichler
Publisher: Cambridge University Press
ISBN: 1316800245
Category : Computers
Languages : en
Pages : 297

Book Description
The digital economy led to many new services where supply is matched with demand for various types of goods and services. More and more people and organizations are now in a position to design market rules that are being implemented in software. The design of markets is challenging as it needs to consider strategic behavior of market participants, psychological factors, and computational problems in order to implement the objectives of a designer. Market models in economics have not lost their importance, but the recent years have led to many new insights and principles for the design of markets, which are beyond traditional economic theory. This book introduces the fundamentals of market design, an engineering field concerned with the design of real-world markets.

Market Design

Market Design PDF Author: Guillaume Haeringer
Publisher: MIT Press
ISBN: 0262037548
Category : Business & Economics
Languages : en
Pages : 393

Book Description
A broad overview of market mechanisms, with an emphasis on the interplay between theory and real-life applications; examples range from eBay auctions to school choice. This book offers an introduction to market design, providing students with a broad overview of issues related to the design and analysis of market mechanisms. It defines a market as a demand and a supply, without specifying a price system or mechanism. This allows the text to analyze a broad set of situations—including such unconventional markets as college admissions and organ donation—and forces readers to pay attention to details that might otherwise be overlooked. Students often complain that microeconomics is too abstract and disconnected from reality; the study of market design shows how theory can help solve existing, real-life problems. The book focuses on the interplay between theory and applications. To keep the text as accessible as possible, special effort has been made to minimize formal description of the models while emphasizing the intuitive, with detailed explanations and resolution of examples. Appendixes offer general reviews of elements of game theory and mechanism design that are related to the themes explored in the book, presenting the basic concepts with as many explanations and illustrations as possible. The book covers topics including the basics of simple auctions; eBay auctions; Vickrey–Clarke–Groves auctions; keyword auctions, with examples from Google and Facebook; spectrum auctions; financial markets, with discussions of treasury auctions and IPOs; trading on the stock market; the basic matching model; medical match; assignment problems; probabilistic assignments; school choice; course allocation, with examples from Harvard and Wharton; and kidney exchange.

Discovering Prices

Discovering Prices PDF Author: Paul Milgrom
Publisher: Columbia University Press
ISBN: 023154457X
Category : Business & Economics
Languages : en
Pages : 222

Book Description
Traditional economic theory studies idealized markets in which prices alone can guide efficient allocation, with no need for central organization. Such models build from Adam Smith’s famous concept of an invisible hand, which guides markets and renders regulation or interference largely unnecessary. Yet for many markets, prices alone are not enough to guide feasible and efficient outcomes, and regulation alone is not enough, either. Consider air traffic control at major airports. While prices could encourage airlines to take off and land at less congested times, prices alone do just part of the job; an air traffic control system is still indispensable to avoid disastrous consequences. With just an air traffic controller, however, limited resources can be wasted or poorly used. What’s needed in this and many other real-world cases is an auction system that can effectively reveal prices while still maintaining enough direct control to ensure that complex constraints are satisfied. In Discovering Prices, Paul Milgrom—the world’s most frequently cited academic expert on auction design—describes how auctions can be used to discover prices and guide efficient resource allocations, even when resources are diverse, constraints are critical, and market-clearing prices may not even exist. Economists have long understood that externalities and market power both necessitate market organization. In this book, Milgrom introduces complex constraints as another reason for market design. Both lively and technical, Milgrom roots his new theories in real-world examples (including the ambitious U.S. incentive auction of radio frequencies, whose design he led) and provides economists with crucial new tools for dealing with the world’s growing complex resource-allocation problems.

Putting Auction Theory to Work

Putting Auction Theory to Work PDF Author: Paul Robert Milgrom
Publisher: Cambridge University Press
ISBN: 9780521536721
Category : Business & Economics
Languages : en
Pages : 396

Book Description
Table of contents

An Introduction to Auction Theory

An Introduction to Auction Theory PDF Author: Flavio M. Menezes
Publisher: Oxford University Press, USA
ISBN: 0199275998
Category : Business & Economics
Languages : en
Pages : 200

Book Description
This book provides a step-by-step, self-contained treatment of auction theory and aims to provide an introductory treatment to allow students to work through all the basic results. The techniques and insights gained provide a useful starting point for those wanting to venture into information economics, mechanism design and regulatory economics.

Twenty Lectures on Algorithmic Game Theory

Twenty Lectures on Algorithmic Game Theory PDF Author: Tim Roughgarden
Publisher: Cambridge University Press
ISBN: 1316781178
Category : Computers
Languages : en
Pages : 356

Book Description
Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.

Essays on Market Design and Auction Theory

Essays on Market Design and Auction Theory PDF Author: BYEONGHYEON JEONG
Publisher:
ISBN:
Category :
Languages : en
Pages : 74

Book Description
This dissertation studies market design and auction theory. Chapter 1 studies the impact of school choice on segregation. It shows that the popular school choice mechanisms lead to substantially different school and residential segregation, an important and overlooked aspect of choosing among school choice mechanisms. We show that open enrollment policy in public school choice program can decrease diversity of individual schools and increase segregation depending on which student allocation mechanism is used. Without open enrollment, we study the model of location choice and show that segregation is mainly associated with income. In comparing mechanisms, we show that Boston mechanism fosters segregation more than the deferred acceptance. With open enrollment, the difference between BM and DA becomes more drastic. We show that BM can actually intensify segregation when open enrollment policy is adopted, while DA is more resilient to segregation. The deferred acceptance with multi tie breaking creates maximally diverse schools. Chapter 2 considers conventional auctions when the seller can design bid spaces. Any symmetric equilibrium in a second price auction with bid spaces can be replicated with an equilibrium in a first price auction with bid spaces, but the converse doesn't hold. First price auctions with designed bid spaces revenue dominates second price auction with designed bid spaces, and well-designed first price auction is an optimal selling mechanism. Chapter 3 studies one-to-one matching environment without transfer in the presence of incomplete information on one-side. The existing notions of stability under incomplete information are studied and two alternatives are proposed. Weak Bayesian stability requires that the beliefs of the agents are dervided from a common prior via Bayes' rule and are internally consistent with the presumption that the given matching is stable. Strong Bayesian stability refines weak Bayesian stability by requiring the beliefs of agents are also externally consistent in the sense that the beliefs are narrowed down only when there is a valid reason.