Geometry and Equilibria in Bimatrix Games PDF Download
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Author: Anne Verena Balthasar
Publisher:
ISBN:
Category : Academic theses
Languages : en
Pages : 0
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Author: Anne Verena Balthasar
Publisher:
ISBN:
Category : Academic theses
Languages : en
Pages : 0
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Author: Thomas J.. Rivera
Publisher:
ISBN:
Category :
Languages : en
Pages : 78
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Book Description
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: 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: Henk W. Norde
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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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: 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: Peter Borm
Publisher:
ISBN:
Category :
Languages : en
Pages : 11
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Book Description
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.
