Algorithmics Of Matching Under Preferences

Author: David F Manlove
Publisher: World Scientific
ISBN: 9814425265
Size: 55.94 MB
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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. Contents:Preliminary Definitions, Results and MotivationStable Matching Problems:The Stable Marriage Problem: An UpdateSM and HR with IndifferenceThe Stable Roommates ProblemFurther Stable Matching ProblemsOther Optimal Matching Problems:Pareto Optimal MatchingsPopular MatchingsProfile-Based Optimal Matchings Readership: Students and Professionals interested in algorithms, especially in the study of algorithmic aspects of matching problems with preferences. Keywords:Matching Problems;Preferences;Algorithms;Stable Marriage Problem;Hospitals / Residents Problem;House Allocation Problem;Stable Roomates ProblemKey Features:Provides a much-needed “sequel” to Gusfield and Irving, given that so many papers on matching problems with preferences have been published since 1989Collects together a survey of the main results from these publications in a single volumeContains unique single survey on efficient algorithms for constructing optimal matchings where the optimality criterion does not involve stabilityReviews: “Besides being extremely useful to those who are interested in design and analysis techniques related to algorithms and complexity issues related to the matching of agents to one another when preferences are involved, involved readers can also benefit from the easy way it presents various ideas and approaches to problem solutions. It is written in a highly scientific language and it is extraordinarily beneficial reading for post-docs and researchers in mathematics and in game theory that focus on algorithms for solving matching problems and also study applications involving such problems.” Zentralblatt MATH

Integration Of Constraint Programming Artificial Intelligence And Operations Research

Author: Willem-Jan van Hoeve
Publisher: Springer
ISBN: 3319930311
Size: 14.39 MB
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This book constitutes the proceedings of the 15th International Conference on Integration of Artificial Intelligence and Operations Research Techniques in Constraint Programming for Combinatorial Optimization Problems, CPAIOR 2018, held in Delft, The Netherlands, in June 2018. The 47 full papers presented together with 3 abstracts of invited talks and 3 abstracts of fast-track journal papers were carefully reviewed and selected from 111 submissions. The conference brings together interested researchers from constraint programming, artificial intelligence, and operations research to present new techniques or applications in the intersection of these fields and provides an opportunity for researchers in one area to learn about techniques in the others, and to show how the integration of techniques from different fields can lead to interesting results on large and complex problems.

Algorithmic Game Theory

Author: Vittorio Bilò
Publisher: Springer
ISBN: 3319667009
Size: 68.92 MB
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​This book constitutes the refereed proceedings of the 10th International Symposium on Algorithmic Game Theory, SAGT 2016, held in L'Aquila, Italy, in September 2017. The 30 full papers presented were carefully reviewed and selected from 66 submissions. The papers cover various important aspects of algorithmic game theory such as auctions, computational aspects of games, congestion games, network and opinion formation games, mechanism design, incentives and regret minimization, and resource allocation.

Graph Theoretic Concepts In Computer Science

Author: Ernst W. Mayr
Publisher: Springer
ISBN: 3662531747
Size: 38.84 MB
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This book constitutes revised selected papers from the 41st International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2015, held in Garching, Germany, in June 2015. The 32 papers presented in this volume were carefully reviewed and selected from 79 submissions. They were organized in topical sections named: invited talks; computational complexity; design and analysis; computational geometry; structural graph theory; graph drawing; and fixed parameter tractability.

Market Design

Author: Martin Bichler
Publisher: Cambridge University Press
ISBN: 1316800245
Size: 70.50 MB
Format: PDF, Mobi
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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.

Handbook Of Computational Social Choice

Author: Felix Brandt
Publisher: Cambridge University Press
ISBN: 1316489752
Size: 35.44 MB
Format: PDF, ePub, Mobi
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The rapidly growing field of computational social choice, at the intersection of computer science and economics, deals with the computational aspects of collective decision making. This handbook, written by thirty-six prominent members of the computational social choice community, covers the field comprehensively. Chapters devoted to each of the field's major themes offer detailed introductions. Topics include voting theory (such as the computational complexity of winner determination and manipulation in elections), fair allocation (such as algorithms for dividing divisible and indivisible goods), coalition formation (such as matching and hedonic games), and many more. Graduate students, researchers, and professionals in computer science, economics, mathematics, political science, and philosophy will benefit from this accessible and self-contained book.

Algorithmic Game Theory

Author: Ron Lavi
Publisher: Springer
ISBN: 3662448033
Size: 37.76 MB
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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.

Algorithmic Decision Theory

Author: Patrice Perny
Publisher: Springer
ISBN: 364241575X
Size: 31.86 MB
Format: PDF
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This book constitutes the thoroughly refereed conference proceedings of the Third International Conference on Algorithmic Decision Theory, ADT 2013, held in November 2013 in Bruxelles, Belgium. The 33 revised full papers presented were carefully selected from more than 70 submissions, covering preferences in reasoning and decision making, uncertainty and robustness in decision making, multi-criteria decision analysis and optimization, collective decision making, learning and knowledge extraction for decision support.

The Stable Marriage Problem

Author: Dan Gusfield
Publisher: MIT Press (MA)
ISBN: 9780262071185
Size: 12.26 MB
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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.