Search Games And Other Applications Of Game Theory
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Author |
: Andrey Garnaev |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 164 |
Release |
: 2000-05-06 |
ISBN-10 |
: 3540671951 |
ISBN-13 |
: 9783540671954 |
Rating |
: 4/5 (51 Downloads) |
Synopsis Search Games and Other Applications of Game Theory by : Andrey Garnaev
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 |
: Andrey Garnaev |
Publisher |
: |
Total Pages |
: 160 |
Release |
: 2000-05-06 |
ISBN-10 |
: 3642573053 |
ISBN-13 |
: 9783642573057 |
Rating |
: 4/5 (53 Downloads) |
Synopsis Search Games and Other Applications of Game Theory by : Andrey Garnaev
This book is on applications of game theory. It contains a lot of examples of applications 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. For example, the following games are investigated: (a) games of protection of a channel from infiltration of a submarine, (b) the submarine versus helicopter game, (c) the matrix search games, (d) allocation search and economics games, where players face up an alternative either not to come into contest if the cost of efforts seems too high, or come into it, (e) dynamic infiltration games where the infiltrator tries to penetrate zone uncaught, (f) duels and (g) parlour games.
Author |
: Andrey Garnaev |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 157 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783642573040 |
ISBN-13 |
: 3642573045 |
Rating |
: 4/5 (40 Downloads) |
Synopsis Search Games and Other Applications of Game Theory by : Andrey Garnaev
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 |
: Akio Matsumoto |
Publisher |
: Springer |
Total Pages |
: 265 |
Release |
: 2015-09-08 |
ISBN-10 |
: 9784431547860 |
ISBN-13 |
: 443154786X |
Rating |
: 4/5 (60 Downloads) |
Synopsis Game Theory and Its Applications by : Akio Matsumoto
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 |
: R.J. Aumann |
Publisher |
: Elsevier |
Total Pages |
: 824 |
Release |
: 1992 |
ISBN-10 |
: 0444894276 |
ISBN-13 |
: 9780444894274 |
Rating |
: 4/5 (76 Downloads) |
Synopsis Handbook of Game Theory with Economic Applications by : R.J. Aumann
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 |
: Elliott Mendelson |
Publisher |
: CRC Press |
Total Pages |
: 272 |
Release |
: 2016-02-03 |
ISBN-10 |
: 9781482285871 |
ISBN-13 |
: 1482285878 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Introducing Game Theory and its Applications by : Elliott Mendelson
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 |
: James W. Friedman |
Publisher |
: Oxford University Press, USA |
Total Pages |
: 360 |
Release |
: 1990 |
ISBN-10 |
: STANFORD:36105034082524 |
ISBN-13 |
: |
Rating |
: 4/5 (24 Downloads) |
Synopsis Game Theory with Applications to Economics by : James W. Friedman
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 |
: L. C. Thomas |
Publisher |
: Courier Corporation |
Total Pages |
: 284 |
Release |
: 2012-12-13 |
ISBN-10 |
: 9780486143736 |
ISBN-13 |
: 0486143732 |
Rating |
: 4/5 (36 Downloads) |
Synopsis Games, Theory and Applications by : L. C. Thomas
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 |
: Quang Duy Lã |
Publisher |
: Springer |
Total Pages |
: 172 |
Release |
: 2016-05-26 |
ISBN-10 |
: 9783319308692 |
ISBN-13 |
: 3319308696 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Potential Game Theory by : Quang Duy Lã
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 |
: Steve Alpern |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 316 |
Release |
: 2006-04-10 |
ISBN-10 |
: 9780306482120 |
ISBN-13 |
: 0306482126 |
Rating |
: 4/5 (20 Downloads) |
Synopsis The Theory of Search Games and Rendezvous by : Steve Alpern
Search Theory is one of the original disciplines within the field of Operations Research. It deals with the problem faced by a Searcher who wishes to minimize the time required to find a hidden object, or “target. ” The Searcher chooses a path in the “search space” and finds the target when he is sufficiently close to it. Traditionally, the target is assumed to have no motives of its own regarding when it is found; it is simply stationary and hidden according to a known distribution (e. g. , oil), or its motion is determined stochastically by known rules (e. g. , a fox in a forest). The problems dealt with in this book assume, on the contrary, that the “target” is an independent player of equal status to the Searcher, who cares about when he is found. We consider two possible motives of the target, and divide the book accordingly. Book I considers the zero-sum game that results when the target (here called the Hider) does not want to be found. Such problems have been called Search Games (with the “ze- sum” qualifier understood). Book II considers the opposite motive of the target, namely, that he wants to be found. In this case the Searcher and the Hider can be thought of as a team of agents (simply called Player I and Player II) with identical aims, and the coordination problem they jointly face is called the Rendezvous Search Problem.