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Author: R.J. Aumann
Publisher: Elsevier
ISBN: 9780444894274
Category : Business & Economics
Languages : en
Pages : 824
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Book Description
This is the second of three volumes surveying the state of the art in Game Theory and its applications to many and varied fields, in particular to economics. The chapters in the present volume are contributed by outstanding authorities, and provide comprehensive coverage and precise statements of the main results in each area. The applications include empirical evidence. The following topics are covered: communication and correlated equilibria, coalitional games and coalition structures, utility and subjective probability, common knowledge, bargaining, zero-sum games, differential games, and applications of game theory to signalling, moral hazard, search, evolutionary biology, international relations, voting procedures, social choice, public economics, politics, and cost allocation. This handbook will be of interest to scholars in economics, political science, psychology, mathematics and biology. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes
Author: R.J. Aumann
Publisher: Elsevier
ISBN: 9780444894274
Category : Business & Economics
Languages : en
Pages : 824
Get Book Here
Book Description
This is the second of three volumes surveying the state of the art in Game Theory and its applications to many and varied fields, in particular to economics. The chapters in the present volume are contributed by outstanding authorities, and provide comprehensive coverage and precise statements of the main results in each area. The applications include empirical evidence. The following topics are covered: communication and correlated equilibria, coalitional games and coalition structures, utility and subjective probability, common knowledge, bargaining, zero-sum games, differential games, and applications of game theory to signalling, moral hazard, search, evolutionary biology, international relations, voting procedures, social choice, public economics, politics, and cost allocation. This handbook will be of interest to scholars in economics, political science, psychology, mathematics and biology. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes
Author: H. Arndt von Schemde
Publisher: Springer Science & Business Media
ISBN: 3540291024
Category : Business & Economics
Languages : en
Pages : 157
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Book Description
The index of an equilibrium in a game gives information about the "stability" of the equilibrium, for example with respect to game dynamics. Unfortunately, index theory is often very technical. This book presents a new geometric construction that visualises the index in an intuitive way. For example, a 3A-n game, for any n, can be represented by a figure in the plane, from which one can read off any equilibrium, and its index as a geometric orientation. With this insight, the index can be characterised in strategic terms alone. Moreover, certain "hyperstable" equilibrium components are seen to have nonzero index. The construction gives an elementary proof that two-player games have a Nash equilibrium, and, in an unusual direction, the powerful fixed point theorem of Brouwer.
Author: Tim Roughgarden
Publisher: Cambridge University Press
ISBN: 1316781178
Category : Computers
Languages : en
Pages : 356
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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.
Author: Bernhard von Stengel
Publisher: Cambridge University Press
ISBN: 1108910645
Category : Mathematics
Languages : en
Pages : 376
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Book Description
Game theory is the science of interaction. This textbook, derived from courses taught by the author and developed over several years, is a comprehensive, straightforward introduction to the mathematics of non-cooperative games. It teaches what every game theorist should know: the important ideas and results on strategies, game trees, utility theory, imperfect information, and Nash equilibrium. The proofs of these results, in particular existence of an equilibrium via fixed points, and an elegant direct proof of the minimax theorem for zero-sum games, are presented in a self-contained, accessible way. This is complemented by chapters on combinatorial games like Go; and, it has introductions to algorithmic game theory, traffic games, and the geometry of two-player games. This detailed and lively text requires minimal mathematical background and includes many examples, exercises, and pictures. It is suitable for self-study or introductory courses in mathematics, computer science, or economics departments.
Author: Andre A. Keller
Publisher: Bentham Science Publishers
ISBN: 1681085682
Category : Technology & Engineering
Languages : en
Pages : 296
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Book Description
Multi-Objective Optimization in Theory and Practice is a traditional two-part approach to solving multi-objective optimization (MOO) problems namely the use of classical methods and evolutionary algorithms. This first book is devoted to classical methods including the extended simplex method by Zeleny and preference-based techniques. This part covers three main topics through nine chapters. The first topic focuses on the design of such MOO problems, their complexities including nonlinearities and uncertainties, and optimality theory. The second topic introduces the founding solving methods including the extended simplex method to linear MOO problems and weighting objective methods. The third topic deals with particular structures of MOO problems, such as mixed-integer programming, hierarchical programming, fuzzy logic programming, and bimatrix games. Multi-Objective Optimization in Theory and Practice is a user-friendly book with detailed, illustrated calculations, examples, test functions, and small-size applications in Mathematica® (among other mathematical packages) and from scholarly literature. It is an essential handbook for students and teachers involved in advanced optimization courses in engineering, information science, and mathematics degree programs.
Author: Dov Samet
Publisher: Presses univ. de Louvain
ISBN: 9782874630774
Category : Artificial intelligence
Languages : en
Pages : 304
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Book Description
The biannual conferences bring together researchers from a wide variety of fields sharing a common interest in reasoning about rationality and knowledge. the impact of this tradition, going back to 1986, is apparent in many of today's research trends and in the growth of an intellectual community beyond traditional disciplinary boundaries. this volume documents the eleventh conference, held in Brussels, Belgium, in June 2007. it includes contributed papers, 3 invited talks. Like earlier volumes in this series, it gives a window of the state of the art in studies of knowledge and information flow in areas such as probability, linguistic semantics, logics for communication, belief revision, game theory, and interactions between these. should be of value for researchers, teachers, and students alike.
Author: Bernhard von Stengel
Publisher: Cambridge University Press
ISBN: 1108843301
Category : Business & Economics
Languages : en
Pages : 375
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Book Description
A lively introduction to Game Theory, ideal for students in mathematics, computer science, or economics.
Author: De-Shuang Huang
Publisher: Springer Science & Business Media
ISBN: 3540742018
Category : Computers
Languages : en
Pages : 1397
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Book Description
This volume, in conjunction with the two volumes CICS 0002 and LNCS 4681, constitutes the refereed proceedings of the Third International Conference on Intelligent Computing held in Qingdao, China, in August 2007. The 139 full papers published here were carefully reviewed and selected from among 2,875 submissions. These papers offer important findings and insights into the field of intelligent computing.
Author: Burkhard Monien
Publisher: Springer
ISBN: 3540793097
Category : Computers
Languages : en
Pages : 363
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Book Description
This book constitutes the proceedings of the First International Symposium on Algorithmic Game Theory. It covers routing and scheduling, markets, mechanism design, a potpourri of games, solution concepts, and cost sharing.
Author: R. K. Amit
Publisher: Springer Nature
ISBN: 9819948339
Category :
Languages : en
Pages : 246
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Book Description
