Introduction to the Theory of Games

Introduction to the Theory of Games PDF Author: Ferenc Forgó
Publisher: Springer Science & Business Media
ISBN: 9780792357759
Category : Business & Economics
Languages : en
Pages : 356

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Book Description
Game theory, defined in the broadest sense, is a collection of mathematical models designed for the analysis of strategic aspects of situations of conflict and cooperation in a broad spectrum of fields including economics, politics, biology, engineering, and operations research. This book, besides covering the classical results of game theory, places special emphasis on methods of determining `solutions' of various game models. Generalizations reaching beyond the `convexity paradigm' and leading to nonconvex optimization problems are enhanced and discussed in more detail than in standard texts on this subject. The development is theoretical-mathematical interspersed with elucidating interpretations and examples. Audience: The material in the book is accessible to PhD and graduate students and will also be of interest to researchers. Solid knowledge of standard undergraduate mathematics is required to read the book.

Introduction to the Theory of Games

Introduction to the Theory of Games PDF Author: Ferenc Forgó
Publisher: Springer Science & Business Media
ISBN: 9780792357759
Category : Business & Economics
Languages : en
Pages : 356

Get Book Here

Book Description
Game theory, defined in the broadest sense, is a collection of mathematical models designed for the analysis of strategic aspects of situations of conflict and cooperation in a broad spectrum of fields including economics, politics, biology, engineering, and operations research. This book, besides covering the classical results of game theory, places special emphasis on methods of determining `solutions' of various game models. Generalizations reaching beyond the `convexity paradigm' and leading to nonconvex optimization problems are enhanced and discussed in more detail than in standard texts on this subject. The development is theoretical-mathematical interspersed with elucidating interpretations and examples. Audience: The material in the book is accessible to PhD and graduate students and will also be of interest to researchers. Solid knowledge of standard undergraduate mathematics is required to read the book.

Handbook of Game Theory with Economic Applications

Handbook of Game Theory with Economic Applications PDF Author: R.J. Aumann
Publisher: North Holland
ISBN:
Category : Business & Economics
Languages : en
Pages : 900

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Book Description
The third volume of the 'Handbook of Game Theory' explores: strategic (Nash) equilibrium, incomplete information, bargaining, inspection, economic history, stochastic games and game theory as applied to industrial organisation.

Combinatorial Algorithms

Combinatorial Algorithms PDF Author: Costas S. Iliopoulos
Publisher: Springer
ISBN: 364219222X
Category : Computers
Languages : en
Pages : 428

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Book Description
This book constitutes the thoroughly referred post-proceedings of the 21st International Workshop on Combinatorial Algorithms, IWOCA 2010, held in London, UK, in July 2010. The 31 revised full papers presented together with extended abstracts of 8 poster presentations were carefully reviewed and selected from a total of 85 submissions. A broad variety of combinatorial graph algorithms for the computations of various graph features are presented; also algorithms for network compuation, approximation, computational geometry, games, and search are presented and complexity aspects of such algorithms are discussed.

INFORMS Conference Program

INFORMS Conference Program PDF Author: Institute for Operations Research and the Management Sciences. National Meeting
Publisher:
ISBN:
Category : Industrial management
Languages : en
Pages : 180

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Book Description


An Introductory Course on Mathematical Game Theory

An Introductory Course on Mathematical Game Theory PDF Author: Julio González-Díaz
Publisher: American Mathematical Society
ISBN: 1470465736
Category : Mathematics
Languages : en
Pages : 324

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Book Description
Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.

Twenty Lectures on Algorithmic Game Theory

Twenty Lectures on Algorithmic Game Theory PDF 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.

Abstracts of Papers Presented to the American Mathematical Society

Abstracts of Papers Presented to the American Mathematical Society PDF Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 658

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Book Description


An Introductory Course on Mathematical Game Theory and Applications

An Introductory Course on Mathematical Game Theory and Applications PDF Author: Julio González-Díaz
Publisher: American Mathematical Society
ISBN: 1470475634
Category : Mathematics
Languages : en
Pages : 432

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Book Description
Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as psychology, computer science, artificial intelligence, biology, and political science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. In this second edition, the content on cooperative games is considerably strengthened, with a new chapter on applications of cooperative games and operations research, including some material on computational aspects and applications outside academia.

Contents of Recent Economics Journals

Contents of Recent Economics Journals PDF Author:
Publisher:
ISBN:
Category : Economics
Languages : en
Pages : 366

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Book Description


Game Theory

Game Theory PDF Author: Hans Peters
Publisher: Springer Science & Business Media
ISBN: 3540692916
Category : Business & Economics
Languages : en
Pages : 362

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Book Description
This book presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It covers topics of interest in game theory, including cooperative game theory. Every chapter includes a problem section.