game theory and its applications

Book Title : Game Theory and Its Applications in the Social and Biological Sciences
Author : Andrew M. Colman
Publisher : Psychology Press
Release Date : 1995
Pages : 375
ISBN : 0750623691
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

Andrew Coleman provides an accessible introduction to the fundamentals of mathematical gaming and other major applications in social psychology, decision theory, economics, politics, evolutionary biology, philosophy, operational research and sociology.

Book Title : Introducing Game Theory and its Applications
Author : Elliott Mendelson
Publisher : CRC Press
Release Date : 2016-02-03
Pages : 272
ISBN : 9781482285871
Available Language : English, Spanish, And French
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The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics. Most texts on the subject, however, are written at the graduate level for those with strong mathematics, economics, or business backgrounds. In a clear and refreshing departure from this trend, Introducing Game Theory and its Applications presents an easy-to-read introduction to the basic ideas and techniques of game theory. After a brief introduction, the author begins with a chapter devoted to combinatorial games--a topic neglected or treated minimally in most other texts. The focus then shifts to two-person zero-sum games and their solution. Here the author presents the simplex method, based on linear programming, for solving these games and develops within his presentation the required background in linear programming. The final chapter presents some of the fundamental ideas and tools of non-zero-sum games and games with more than two players, including an introduction to cooperative game theory. This book will not only satisfy the curiosity of those whose interest in the subject was piqued by the 1994 Nobel Prize awarded to Harsanyi, Nash, and Selten. It also prepares its readers for more advanced study of game theory's applications in economics, business, and the physical, biological, and social sciences.

Book Title : Game Theory and Its Applications
Author : William F. Lucas
Publisher : American Mathematical Soc.
Release Date : 1981-12-31
Pages : 125
ISBN : 0821867334
Available Language : English, Spanish, And French
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Book Title : Game Theory and Its Applications
Author : Akio Matsumoto
Publisher : Springer
Release Date : 2015-09-08
Pages : 268
ISBN : 9784431547860
Available Language : English, Spanish, And French
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This book integrates the fundamentals, methodology, and major application fields of noncooperative and cooperative games including conflict resolution. The topics addressed in the book are discrete and continuous games including games represented by finite trees; matrix and bimatrix games as well as oligopolies; cooperative solution concepts; games under uncertainty; dynamic games and conflict resolution. The methodology is illustrated by carefully chosen examples, applications and case studies which are selected from economics, social sciences, engineering, the military and homeland security. This book is highly recommended to readers who are interested in the in-depth and up-to-date integration of the theory and ever-expanding application areas of game theory.

Book Title : Game Theory and its Applications
Author : Andrew M. Colman
Publisher : Psychology Press
Release Date : 2013-10-28
Pages : 392
ISBN : 9781134987498
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

Andrew Coleman provides an accessible introduction to the fundamentals of mathematical gaming and other major applications in social psychology, decision theory, economics, politics, evolutionary biology, philosophy, operational research and sociology.

Book Title : Grey Game Theory and Its Applications in Economic Decision Making
Author : Zhigeng Fang
Publisher : CRC Press
Release Date : 2016-04-19
Pages : 360
ISBN : 1420087401
Available Language : English, Spanish, And French
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To make the best decisions, you need the best information. However, because most issues in game theory are grey, nearly all recent research has been carried out using a simplified method that considers grey systems as white ones. This often results in a forecasting function that is far from satisfactory when applied to many real situations. Grey Game Theory and Its Applications in Economic Decision Making introduces classic game theory into the realm of grey system theory with limited knowledge. The book resolves three theoretical issues: A game equilibrium of grey game A reasonable explanation for the equilibrium of a grey matrix of static nonmatrix game issues based on incomplete information The Centipede Game paradox, which has puzzled theory circles for a long time and greatly enriched and developed the core methods of subgame Nash perfect equilibrium analysis as a result The book establishes a grey matrix game model based on pure and mixed strategies. The author proposes the concepts of grey saddle points, grey mixed strategy solutions, and their corresponding structures and also puts forward the models and methods of risk measurement and evaluation of optimal grey strategies. He raises and solves the problems of grey matrix games. The book includes definitions of the test rules of information distortion experienced during calculation, the design of tokens based on new interval grey numbers, and new arithmetic laws to manipulate grey numbers. These features combine to provide a practical and efficient tool for forecasting real-life economic problems.

Book Title : Fundamentals of Evolutionary Game Theory and its Applications
Author : Jun Tanimoto
Publisher : Springer
Release Date : 2015-10-23
Pages : 214
ISBN : 9784431549628
Available Language : English, Spanish, And French
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​This book both summarizes the basic theory of evolutionary games and explains their developing applications, giving special attention to the 2-player, 2-strategy game. This game, usually termed a "2×2 game” in the jargon, has been deemed most important because it makes it possible to posit an archetype framework that can be extended to various applications for engineering, the social sciences, and even pure science fields spanning theoretical biology, physics, economics, politics, and information science. The 2×2 game is in fact one of the hottest issues in the field of statistical physics. The book first shows how the fundamental theory of the 2×2 game, based on so-called replicator dynamics, highlights its potential relation with nonlinear dynamical systems. This analytical approach implies that there is a gap between theoretical and reality-based prognoses observed in social systems of humans as well as in those of animal species. The book explains that this perceived gap is the result of an underlying reciprocity mechanism called social viscosity. As a second major point, the book puts a sharp focus on network reciprocity, one of the five fundamental mechanisms for adding social viscosity to a system and one that has been a great concern for study by statistical physicists in the past decade. The book explains how network reciprocity works for emerging cooperation, and readers can clearly understand the existence of substantial mechanics when the term "network reciprocity" is used. In the latter part of the book, readers will find several interesting examples in which evolutionary game theory is applied. One such example is traffic flow analysis. Traffic flow is one of the subjects that fluid dynamics can deal with, although flowing objects do not comprise a pure fluid but, rather, are a set of many particles. Applying the framework of evolutionary games to realistic traffic flows, the book reveals that social dilemma structures lie behind traffic flow.

Book Title : Handbook of Game Theory with Economic Applications
Author : Robert J. Aumann
Publisher : Elsevier
Release Date : 1992
Pages : 785
ISBN : 0444894276
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

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

Book Title : Game Theory
Author : Graham Romp
Publisher : Oxford University Press on Demand
Release Date : 1997
Pages : 284
ISBN : 9780198775027
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

Covering all the essential topics for undergraduate courses, this is the ideal student introduction to game theory. The book sets out the basics of the subject in a non-technical way. All discussion and explanation is clear, well structured, and entirely accessible to students of both economics and business. In addition to describing and explaining the basic theory, Game Theory uses illustrations and examples to show its application to realistic, topical, and interesting problems-ranging from strategic decision-making within companies to international environmental policy-making. The book also features exercises with accompanying solutions to allow the student to check progress throughout the course, and a guide to further reading at the end of each chapter.

Book Title : Search Games and Other Applications of Game Theory
Author : Andrey Garnaev
Publisher : Springer Science & Business Media
Release Date : 2012-12-06
Pages : 150
ISBN : 9783642573040
Available Language : English, Spanish, And French
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EBOOK SYNOPSIS:

This book is on applications of game theory. The title of this book is not "Game Theory and its Applications" because it does not construct a general theory for considered games. The book contains a lot of examples of applica tion of game theory together with the background of those games considered and a list of unsolved problems. Also we consider only the game where the optimal strategies of the players are found in closed form. This book is an attempt to carryon the approach developed in nice books "Search Games" by Gal and "Geometric Games and their Applications" by Ruckle. The first chapter of this book supplies the required definitions and theorems from game theory. The second chapter deals with discrete search games where both players act simultaneously: the games of protection of a channel from infiltration of a submarine, the submarine versus helicopter game, the matrix search games and others. The third chapter considers the game where the players allocate their contin uous efforts. In these games players face up an alternative either not to come into contest if the cost of efforts seems too high, or come into it. In the last case the player have to decide how much resources they can afford to spend. The allocation models of search, antiballistic protection and marketing are investigated.