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Two-Sided Matching

1992-06-26 Business & Economics
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Release : 1992-06-26
Genre : Business & Economics
Kind : eBook
Book Rating : 430/5 ( reviews)

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Book Synopsis Two-Sided Matching by : Alvin E. Roth

Download or read book Two-Sided Matching written by Alvin E. Roth. This book was released on 1992-06-26. Available in PDF, EPUB and Kindle. Book excerpt: Two-sided matching provides a model of search processes such as those between firms and workers in labor markets or between buyers and sellers in auctions. This book gives a comprehensive account of recent results concerning the game-theoretic analysis of two-sided matching. The focus of the book is on the stability of outcomes, on the incentives that different rules of organization give to agents, and on the constraints that these incentives impose on the ways such markets can be organized. The results for this wide range of related models and matching situations help clarify which conclusions depend on particular modeling assumptions and market conditions, and which are robust over a wide range of conditions. 'This book chronicles one of the outstanding success stories of the theory of games, a story in which the authors have played a major role: the theory and practice of matching markets ... The authors are to be warmly congratulated for this fine piece of work, which is quite unique in the game-theoretic literature.' From the Foreword by Robert Aumann

Two-Sided Matching

1990 Business & Economics
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Author :
Release : 1990
Genre : Business & Economics
Kind : eBook
Book Rating : 882/5 ( reviews)

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Book Synopsis Two-Sided Matching by : Alvin E. Roth

Download or read book Two-Sided Matching written by Alvin E. Roth. This book was released on 1990. Available in PDF, EPUB and Kindle. Book excerpt: Two-sided matching provides a model of search processes such as those between firms and workers in labor markets or between buyers and sellers in auctions. This book gives a comprehensive account of recent results concerning the game-theoretic analysis of two-sided matching. The focus of the book is on the stability of outcomes, on the incentives that different rules of organization give to agents, and on the constraints that these incentives impose on the ways such markets can be organized. The results for this wide range of related models and matching situations help clarify which conclusions depend on particular modeling assumptions and market conditions, and which are robust over a wide range of conditions.

The Stable Marriage Problem

1989 Combinatorial analysis
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Release : 1989
Genre : Combinatorial analysis
Kind : eBook
Book Rating : 528/5 ( reviews)

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Book Synopsis The Stable Marriage Problem by : Dan Gusfield

Download or read book The Stable Marriage Problem written by Dan Gusfield. This book was released on 1989. Available in PDF, EPUB and Kindle. Book excerpt: This book probes the stable marriage problem and its variants as a rich source of problems and ideas that illustrate both the design and analysis of efficient algorithms. It covers the most recent structural and algorithmic work on stable matching problems, simplifies and unifies many earlier proofs, strengthens several earlier results, and presents new results and more efficient algorithms.The authors develop the structure of the set of stable matchings in the stable marriage problem in a more general and algebraic context than has been done previously; they discuss the problem's structure in terms of rings of sets, which allows many of the most useful features to be seen as features of a more general set of problems. The relationship between the structure of the stable marriage problem and the more general stable roommates problem is demonstrated, revealing many commonalities.The results the authors obtain provide an algorithmic response to the practical, and political, problems created by the asymmetry inherent in the Gale Shapley solutions, leading to alternative methods and better compromises than are provided by the Gale Shapley method. And, in contrast to Donald Knuth's earlier work which primarily focused on the application of mathematics to the analysis of algorithms, this book illustrates the productive and almost inseparable relationship between mathematical insight and the design of efficient algorithms.Dan Gusfield is Associate Professor of Computer Science at the University of California, Davis. Robert W. Irving is Senior Lecturer in Computing Science at the University of Glasgow. The Stable Marriage Problem is included in the Foundations of Computing Series, edited by Michael Garey and Albert Meyer.

Algorithmics of Matching Under Preferences

2013 Mathematics
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Release : 2013
Genre : Mathematics
Kind : eBook
Book Rating : 257/5 ( reviews)

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Book Synopsis Algorithmics of Matching Under Preferences by : David F. Manlove

Download or read book Algorithmics of Matching Under Preferences written by David F. Manlove. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: Matching problems with preferences are all around us OCo they arise when agents seek to be allocated to one another on the basis of ranked preferences over potential outcomes. Efficient algorithms are needed for producing matchings that optimise the satisfaction of the agents according to their preference lists.In recent years there has been a sharp increase in the study of algorithmic aspects of matching problems with preferences, partly reflecting the growing number of applications of these problems worldwide. This book describes the most important results in this area, providing a timely update to The Stable Marriage Problem: Structure and Algorithms (D Gusfield and R W Irving, MIT Press, 1989) in connection with stable matching problems, whilst also broadening the scope to include matching problems with preferences under a range of alternative optimality criteria."

Market Design

2018-03-02 Business & Economics
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Release : 2018-03-02
Genre : Business & Economics
Kind : eBook
Book Rating : 099/5 ( reviews)

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Book Synopsis Market Design by : Guillaume Haeringer

Download or read book Market Design written by Guillaume Haeringer. This book was released on 2018-03-02. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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