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Author : Leon Aganesovich Petrosi︠a︡n,Vladimir Viktorovich Mazalov
Publisher : Nova Publishers
Page : 234 pages
File Size : 46,9 Mb
Release : 1996
Category : Mathematics
ISBN : 1560723904
Game Theory & Applications Volume II
Author : L. C. Thomas
Publisher : Courier Corporation
Page : 284 pages
File Size : 42,6 Mb
Release : 2012-12-13
Category : Mathematics
ISBN : 9780486143736
This text opens with the theory of 2-person zero-sum games, 2-person non-zero sum games, and n-person games, at a level between non-mathematical introductory books and technical mathematical game theory books. Includes introductory explanations of gaming and meta games. Includes numerous exercises anbd problems with solutions and over 30 illustrations. 1986 edition.
Author : Elliott Mendelson
Publisher : CRC Press
Page : 272 pages
File Size : 40,6 Mb
Release : 2016-02-03
Category : Mathematics
ISBN : 9781482285871
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
Author : Akio Matsumoto,Ferenc Szidarovszky
Publisher : Springer
Page : 265 pages
File Size : 40,9 Mb
Release : 2015-09-08
Category : Mathematics
ISBN : 9784431547860
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.
Author : Vladimir Mazalov
Publisher : John Wiley & Sons
Page : 430 pages
File Size : 47,5 Mb
Release : 2014-10-06
Category : Mathematics
ISBN : 9781118899625
Mathematical Game Theory and Applications Mathematical Game Theory and Applications An authoritative and quantitative approach to modern game theory with applications from economics, political science, military science and finance. Mathematical Game Theory and Applications combines both the theoretical and mathematical foundations of game theory with a series of complex applications along with topics presented in a logical progression to achieve a unified presentation of research results. This book covers topics such as two-person games in strategic form, zero-sum games, N-person non-cooperative games in strategic form, two-person games in extensive form, parlor and sport games, bargaining theory, best-choice games, co-operative games and dynamic games. Several classical models used in economics are presented which include Cournot, Bertrand, Hotelling and Stackelberg as well as coverage of modern branches of game theory such as negotiation models, potential games, parlor games and best choice games. Mathematical Game Theory and Applications: Presents a good balance of both theoretical foundations and complex applications of game theory. Features an in-depth analysis of parlor and sport games, networking games, and bargaining models. Provides fundamental results in new branches of game theory, best choice games, network games and dynamic games. Presents numerous examples and exercises along with detailed solutions at the end of each chapter. Is supported by an accompanying website featuring course slides and lecture content. Covering a host of important topics, this book provides a research springboard for graduate students and a reference for researchers who might be working in the areas of applied mathematics, operations research, computer science or economical cybernetics.
Author : Anatol Rapoport
Publisher : Courier Corporation
Page : 240 pages
File Size : 54,8 Mb
Release : 2013-01-01
Category : Mathematics
ISBN : 9780486281094
Clear, accessible treatment of mathematical models for resolving conflicts in politics, economics, war, business, and social relationships. Topics include strategy, game tree and game matrix, and much more. Minimal math background required. 1970 edition.
Author : Graham Romp
Publisher : Oxford University Press, USA
Page : 295 pages
File Size : 55,8 Mb
Release : 1997
Category : Business & Economics
ISBN : 9780198775027
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 botheconomics 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.
Author : Andrey Garnaev
Publisher : Springer Science & Business Media
Page : 164 pages
File Size : 53,6 Mb
Release : 2000-05-06
Category : Business & Economics
ISBN : 3540671951
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.
Author : Quang Duy Lã,Yong Huat Chew,Boon-Hee Soong
Publisher : Springer
Page : 158 pages
File Size : 43,8 Mb
Release : 2016-05-26
Category : Technology & Engineering
ISBN : 9783319308692
This book offers a thorough examination of potential game theory and its applications in radio resource management for wireless communications systems and networking. The book addresses two major research goals: how to identify a given game as a potential game, and how to design the utility functions and the potential functions with certain special properties in order to formulate a potential game. After proposing a unifying mathematical framework for the identification of potential games, the text surveys existing applications of this technique within wireless communications and networking problems found in OFDMA 3G/4G/WiFi networks, as well as next-generation systems such as cognitive radios and dynamic spectrum access networks. Professionals interested in understanding the theoretical aspect of this specialized field will find Potential Game Theory a valuable resource, as will advanced-level engineering students. It paves the way for extensive and rigorous research exploration on a topic whose capacity for practical applications is vast but not yet fully exploited.
Author : James W. Friedman
Publisher : Oxford University Press, USA
Page : 394 pages
File Size : 52,5 Mb
Release : 1990
Category : Economics, Mathematical
ISBN : UCSD:31822004925319
Drawing on examples from current economic literature and politics, this is the first book on game theory at an introductory, but not elementary, level. The author covers topics of great actual or potential use in economics, such as noncooperative games, infinitely repeated games, finitely repeated games, two-person cooperative games, and cooperative games with and without side payments. Thoroughly revised, the new second edition of this authoritative book includes greatly expanded coverage of equilibrium refinements, and the "folk theorem" for repeated games as well as a new chapter on finite noncooperative games.
Author : Leon Petrosjan,Vladimir V. Mazalov
Publisher : Nova Publishers
Page : 238 pages
File Size : 42,7 Mb
Release : 2007
Category : Mathematics
ISBN : 1594549931
This book brings together papers of well-known specialists in game theory and adjacent problems. It presents the basic results in dynamic games, stochastic games, applications of game theoretical methods in ecology and economics and methodological aspects of game theory.
Author : Anatol Rapoport
Publisher : Courier Corporation
Page : 332 pages
File Size : 54,8 Mb
Release : 2013-06-17
Category : Mathematics
ISBN : 9780486143675
DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div
Author : E. N. Barron
Publisher : John Wiley & Sons
Page : 574 pages
File Size : 42,9 Mb
Release : 2013-04-22
Category : Business & Economics
ISBN : 9781118216934
An exciting new edition of the popular introduction to game theory and its applications The thoroughly expanded Second Edition presents a unique, hands-on approach to game theory. While most books on the subject are too abstract or too basic for mathematicians, Game Theory: An Introduction, Second Edition offers a blend of theory and applications, allowing readers to use theory and software to create and analyze real-world decision-making models. With a rigorous, yet accessible, treatment of mathematics, the book focuses on results that can be used to determine optimal game strategies. Game Theory: An Introduction, Second Edition demonstrates how to use modern software, such as Maple™, Mathematica®, and Gambit, to create, analyze, and implement effective decision-making models. Coverage includes the main aspects of game theory including the fundamentals of two-person zero-sum games, cooperative games, and population games as well as a large number of examples from various fields, such as economics, transportation, warfare, asset distribution, political science, and biology. The Second Edition features: • A new chapter on extensive games, which greatly expands the implementation of available models • New sections on correlated equilibria and exact formulas for three-player cooperative games • Many updated topics including threats in bargaining games and evolutionary stable strategies • Solutions and methods used to solve all odd-numbered problems • A companion website containing the related Maple and Mathematica data sets and code A trusted and proven guide for students of mathematics and economics, Game Theory: An Introduction, Second Edition is also an excellent resource for researchers and practitioners in economics, finance, engineering, operations research, statistics, and computer science.
Author : Frank C. Zagare
Publisher : SAGE
Page : 100 pages
File Size : 48,7 Mb
Release : 1984-07
Category : Mathematics
ISBN : 0803920504
Professor Zagare provides methods for analysing the structure of the game; considers zero and nonzero-sum games and the fundamental 'minimax theorem'; and investigates games with more than two players, including the possibility of coalitions between players.
Author : Tatsuro Ichiishi,Abraham Neyman,Yair Tauman
Publisher : Academic Press
Page : 436 pages
File Size : 53,9 Mb
Release : 2014-06-28
Category : Mathematics
ISBN : 9781483295053
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