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Author: Dan Gusfield Publisher: ISBN: 9780262515528 Category : Combinatorial analysis Languages : en Pages : 0
Book Description
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.
Author: Dan Gusfield Publisher: ISBN: 9780262515528 Category : Combinatorial analysis Languages : en Pages : 0
Book Description
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.
Author: Alvin E. Roth Publisher: Cambridge University Press ISBN: 1107782430 Category : Business & Economics Languages : en Pages : 288
Book Description
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
Author: Christopher P. Chambers Publisher: Cambridge University Press ISBN: 1107087805 Category : Business & Economics Languages : en Pages : 241
Book Description
The theory of revealed preference has a long, distinguished tradition in economics but lacked a systematic presentation of the theory until now. This book deals with basic questions in economic theory and studies situations in which empirical observations are consistent or inconsistent with some of the best known economic theories.
Author: David F. Manlove Publisher: World Scientific ISBN: 9814425257 Category : Mathematics Languages : en Pages : 524
Book Description
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."
Author: Donald Ervin Knuth Publisher: American Mathematical Soc. ISBN: 0821806033 Category : Mathematics Languages : en Pages : 90
Book Description
Uses the theory of stable marriage to introduce and illustrate a variety of important concepts and techniques of computer science and mathematics: data structures, control structures, combinatorics, probability, analysis, algebra, and especially the analysis of algorithms.
Author: Ron Lavi Publisher: Springer ISBN: 3662448033 Category : Computers Languages : en Pages : 307
Book Description
This book constitutes the refereed proceedings of the 7th International Symposium on Algorithmic Game Theory, SAGT 2014, held in Haifa, Israel, in October 2014. The 24 full papers and 5 short papers presented were carefully reviewed and selected from 65 submissions. They cover various important aspects of algorithmic game theory, such as matching theory, game dynamics, games of coordination, networks and social choice, markets and auctions, price of anarchy, computational aspects of games, mechanism design and auctions.
Author: David Manlove Publisher: World Scientific ISBN: 9814425265 Category : Computers Languages : en Pages : 524
Book Description
Matching problems with preferences are all around us: 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. The importance of the research area was recognised in 2012 through the award of the Nobel Prize in Economic Sciences to Alvin Roth and Lloyd Shapley.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.
Author: David M. Kreps Publisher: Princeton University Press ISBN: 0691250138 Category : Business & Economics Languages : en Pages : 799
Book Description
A cutting-edge introduction to key topics in modern economic theory for first-year graduate students in economics and related fields Volume II of Microeconomic Foundations introduces models and methods at the center of modern microeconomic theory. In this textbook, David Kreps, a leading economic theorist, emphasizes foundational material, concentrating on seminal work that provides perspective on how and why the theory developed. Because noncooperative game theory is the chief tool of modeling and analyzing microeconomic phenomena, the book stresses the applications of game theory to economics. And throughout, it underscores why theory is most useful when it supports rather than supplants economic intuition. Introduces first-year graduate students to the models and methods at the core of microeconomic theory today Covers an extensive range of topics, including the agency theory, market signaling, relational contracting, bilateral bargaining, auctions, matching markets, and mechanism design Stresses the use—and misuse—of theory in studying economic phenomena and shows why theory should support, not replace, economic intuition Includes extensive appendices reviewing the essential concepts of noncooperative game theory, with guidance about how it should and shouldn’t be used Features free online supplements, including chapter outlines and overviews, solutions to all the problems in the book, and more
Author: Kenneth Train Publisher: Cambridge University Press ISBN: 0521766559 Category : Business & Economics Languages : en Pages : 399
Book Description
This book describes the new generation of discrete choice methods, focusing on the many advances that are made possible by simulation. Researchers use these statistical methods to examine the choices that consumers, households, firms, and other agents make. Each of the major models is covered: logit, generalized extreme value, or GEV (including nested and cross-nested logits), probit, and mixed logit, plus a variety of specifications that build on these basics. Simulation-assisted estimation procedures are investigated and compared, including maximum stimulated likelihood, method of simulated moments, and method of simulated scores. Procedures for drawing from densities are described, including variance reduction techniques such as anithetics and Halton draws. Recent advances in Bayesian procedures are explored, including the use of the Metropolis-Hastings algorithm and its variant Gibbs sampling. The second edition adds chapters on endogeneity and expectation-maximization (EM) algorithms. No other book incorporates all these fields, which have arisen in the past 25 years. The procedures are applicable in many fields, including energy, transportation, environmental studies, health, labor, and marketing.
Author: Haas, Christian Publisher: KIT Scientific Publishing ISBN: 3731502372 Category : Business & Economics Languages : en Pages : 308
Book Description
The Social Cloud framework leverages existing relationships between members of a social network for the exchange of resources. This thesis focuses on the design of coordination mechanisms to address two challenges in this scenario. In the first part, user participation incentives are studied. In the second part, heuristics for two-sided matching-based resource allocation are designed and evaluated.
Author: Dan Gusfield
Author: Dan Gusfield
Author: Alvin E. Roth
Author: Christopher P. Chambers
Author: David F. Manlove
Author: Donald Ervin Knuth
Author: Ron Lavi
Author: David Manlove
Author: David M. Kreps
Author: Kenneth Train
Author: Haas, Christian