Stable Matchings and the Small Core in Nash Equilibrium in the College Admissions Problem

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Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Stable Matchings and the Small Core in Nash Equilibrium in the College Admissions Problem by : Jinpeng Ma

Download or read book Stable Matchings and the Small Core in Nash Equilibrium in the College Admissions Problem written by Jinpeng Ma and published by . This book was released on 1998 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Two-Sided Matching

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Publisher : Cambridge University Press
ISBN 13 : 1107782430
Total Pages : 288 pages
Book Rating : 4.1/5 (77 download)

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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 and published by Cambridge University Press. This book was released on 1992-06-26 with total page 288 pages. 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

Game Theory and Applications

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Publisher : Academic Press
ISBN 13 : 1483295052
Total Pages : 449 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Game Theory and Applications by : Tatsuro Ichiishi

Download or read book Game Theory and Applications written by Tatsuro Ichiishi and published by Academic Press. This book was released on 2014-06-28 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory and Applications outlines game theory and proves its validity by examining it alongside the neoclassical paradigm. This book contends that the neoclassical theory is the exceptional case, and that game theory may indeed be the rule. The papers and abstracts collected here explore its recent development and suggest new research directions. - Explains many of the recent central developments in game theory - Highlights new research directions in economic theory which surpass the neoclassical paradigm - Includes game-theoretical analyses in economics, political science, and biology - Written by leading game theorists, economists, political scientists, and biologists

Twenty Lectures on Algorithmic Game Theory

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Publisher : Cambridge University Press
ISBN 13 : 1316781178
Total Pages : 356 pages
Book Rating : 4.3/5 (167 download)

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Book Synopsis Twenty Lectures on Algorithmic Game Theory by : Tim Roughgarden

Download or read book Twenty Lectures on Algorithmic Game Theory written by Tim Roughgarden and published by Cambridge University Press. This book was released on 2016-08-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Journal of Economic Theory

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ISBN 13 :
Total Pages : pages
Book Rating : 4.0/5 (531 download)

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Book Synopsis Journal of Economic Theory by : Karl Shell

Download or read book Journal of Economic Theory written by Karl Shell and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Game Theory, Alive

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Publisher : American Mathematical Soc.
ISBN 13 : 1470419823
Total Pages : 400 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Game Theory, Alive by : Anna R. Karlin

Download or read book Game Theory, Alive written by Anna R. Karlin and published by American Mathematical Soc.. This book was released on 2017-04-27 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.

Current Trends in Economics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662037505
Total Pages : 541 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Current Trends in Economics by : Ahmet Alkan

Download or read book Current Trends in Economics written by Ahmet Alkan and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1990, the Society for the Advancement of Economic Theory (SAET) was founded with the main purpose to advance our knowledge in theoretical economics and to facilitate communication among researchers in economics, mathematics, game theory and any other field which is po tentially useful to economic theory. To achieve these goals, SAET sponsors the research journal Economic Theory published by Springer-Verlag and holds international conferences every other year. The first two conferences SAET took place in the island of Cephalonia, Greece, in the summers of of 1993 and 1995. In the summer of 1997, the conference was held in Antalya, Turkey. The twenty-nine papers in this volume are mostly by participants in the Antalya meeting of SAET and form a broad sample of the 150 papers pre sented there. Topics covered include cooperative and noncooperative games, social choice and welfare, bargaining, matchings, auctions, mechanism de sign, general equilibrium, general equilibrium with finance, industrial or ganization, macroeconomics, and experimental economics. We have chosen to present the papers according to the alphabetical order of first author names instead of grouping them by topic or theme. We have appended a complete listing of the sessions in the conference together with a list of program committee members and of sponsors at the end of the volume.

Economics of the Family

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Publisher : Cambridge University Press
ISBN 13 : 0521791596
Total Pages : 511 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Economics of the Family by : Martin Browning

Download or read book Economics of the Family written by Martin Browning and published by Cambridge University Press. This book was released on 2014-06-05 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, modern, and self-contained account of the research in the growing area of family economics. It is intended for graduate students in economics and for researchers in other fields interested in the economic approach to the family.

Computational Complexity

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Publisher : Springer
ISBN 13 : 9781461417996
Total Pages : 0 pages
Book Rating : 4.4/5 (179 download)

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Book Synopsis Computational Complexity by : Robert A. Meyers

Download or read book Computational Complexity written by Robert A. Meyers and published by Springer. This book was released on 2011-10-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The recognition that the collective behavior of the whole system cannot be simply inferred from an understanding of the behavior of the individual components has led to the development of numerous sophisticated new computational and modeling tools with applications to a wide range of scientific, engineering, and societal phenomena. Computational Complexity: Theory, Techniques and Applications presents a detailed and integrated view of the theoretical basis, computational methods, and state-of-the-art approaches to investigating and modeling of inherently difficult problems whose solution requires extensive resources approaching the practical limits of present-day computer systems. This comprehensive and authoritative reference examines key components of computational complexity, including cellular automata, graph theory, data mining, granular computing, soft computing, wavelets, and more.

Networks, Crowds, and Markets

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Publisher : Cambridge University Press
ISBN 13 : 1139490303
Total Pages : 745 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Networks, Crowds, and Markets by : David Easley

Download or read book Networks, Crowds, and Markets written by David Easley and published by Cambridge University Press. This book was released on 2010-07-19 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are all film stars linked to Kevin Bacon? Why do the stock markets rise and fall sharply on the strength of a vague rumour? How does gossip spread so quickly? Are we all related through six degrees of separation? There is a growing awareness of the complex networks that pervade modern society. We see them in the rapid growth of the internet, the ease of global communication, the swift spread of news and information, and in the way epidemics and financial crises develop with startling speed and intensity. This introductory book on the new science of networks takes an interdisciplinary approach, using economics, sociology, computing, information science and applied mathematics to address fundamental questions about the links that connect us, and the ways that our decisions can have consequences for others.

Management Science

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ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Management Science by :

Download or read book Management Science written by and published by . This book was released on 2001-09 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues for Feb. 1965-Aug. 1967 include Bulletin of the Institute of Management Sciences.

Evolutionary Games and Poverty Traps

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 1443886343
Total Pages : 144 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis Evolutionary Games and Poverty Traps by : Edgar J. Sánchez Carrera

Download or read book Evolutionary Games and Poverty Traps written by Edgar J. Sánchez Carrera and published by Cambridge Scholars Publishing. This book was released on 2015-11-25 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores how persistent states of underdevelopment can arise in strategic environments in which players are imitative rather than fully rational. Standard growth theory teaches that poverty traps are stable, low-level balanced growth paths to which economies gravitate due to adverse initial conditions or poor equilibrium selection. In other words, societies fail to take off into sustained growth because they started out as poor, with, for example, low longevity or poor human capital, or because they cannot invent institutions that successfully coordinate their investments. Evolutionary Games and Poverty Traps explains this pernicious form of coordination failure as a game between economic agents, such as, for example, firms investing in research and development and workers investing in human capital. Rates of return on research and development depend on average human capital, and rates of return on human capital depend on aggregate research and development spending. The outcome is a self-confirming equilibrium in evolutionary stable strategies in which unsuccessful players imitate successful ones. This equilibrium is particularly interesting in that in poor economies with a large fraction of low-human-capital workers or low research and development firms, imitative strategies do not support a take-off into sustained growth. To achieve such a take-off, society should subsidize the cost of education or research and development until the economy builds a critical mass of human capital or research and development.

Game Theory And Mechanism Design

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Publisher : World Scientific
ISBN 13 : 9814525065
Total Pages : 533 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Game Theory And Mechanism Design by : Y Narahari

Download or read book Game Theory And Mechanism Design written by Y Narahari and published by World Scientific. This book was released on 2014-03-13 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-sufficient treatment of a key tool, game theory and mechanism design, to model, analyze, and solve centralized as well as decentralized design problems involving multiple autonomous agents that interact strategically in a rational and intelligent way. The contents of the book provide a sound foundation of game theory and mechanism design theory which clearly represent the “science” behind traditional as well as emerging economic applications for the society.The importance of the discipline of game theory has been recognized through numerous Nobel prizes in economic sciences being awarded to game theorists, including the 2005, 2007, and 2012 prizes. The book distills the marvelous contributions of these and other celebrated game theorists and presents it in a way that can be easily understood even by senior undergraduate students.A unique feature of the book is its detailed coverage of mechanism design which is the art of designing a game among strategic agents so that a social goal is realized in an equilibrium of the induced game. Another feature is a large number of illustrative examples that are representative of both classical and modern applications of game theory and mechanism design. The book also includes informative biographical sketches of game theory legends, and is specially customized to a general engineering audience.After a thorough reading of this book, readers would be able to apply game theory and mechanism design in a principled and mature way to solve relevant problems in computer science (esp, artificial intelligence/machine learning), computer engineering, operations research, industrial engineering and microeconomics.

The Stable Marriage Problem

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Publisher :
ISBN 13 : 9780262515528
Total Pages : 0 pages
Book Rating : 4.5/5 (155 download)

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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 and published by . This book was released on 1989 with total page 0 pages. 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.

Microeconomic Foundations II

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Publisher : Princeton University Press
ISBN 13 : 0691250138
Total Pages : 799 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Microeconomic Foundations II by : David M. Kreps

Download or read book Microeconomic Foundations II written by David M. Kreps and published by Princeton University Press. This book was released on 2023-01-03 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

On The Economics Of Marriage

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Publisher : Routledge
ISBN 13 : 1000306461
Total Pages : 369 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis On The Economics Of Marriage by : Shoshana Grossbard-schectman

Download or read book On The Economics Of Marriage written by Shoshana Grossbard-schectman and published by Routledge. This book was released on 2019-07-11 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marriage is an institution that plays a central role in most societies. As it affects decisions regarding labor supply, consumption, reproduction, and other important decisions, marriage receives considerable attention in academic circles. Much research has been done about marriage, principally by sociologists, psychologists, and anthropologists.

Algorithmics of Matching Under Preferences

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Publisher : World Scientific
ISBN 13 : 9814425257
Total Pages : 524 pages
Book Rating : 4.8/5 (144 download)

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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 and published by World Scientific. This book was released on 2013 with total page 524 pages. 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."