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Author: Anatol Rapoport
Publisher: Springer Science & Business Media
ISBN: 9401021619
Category : Social Science
Languages : en
Pages : 287
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Book Description
Game theory could be formally defined as a theory of rational decision in conflict situations. Models of such situations, as they are conceived in game theory, involve (1) a set of decision makers, called players; (2) a set of strategies available to each player; (3) a set of outcomes, each of which is a result of particular choices of strategies made by the players on a given play of the game; and (4) a set of payoffs accorded to each player in each of the possible outcomes. It is assumed that each player is 'individually rational', in the sense that his preference ordering of the outcomes is determined by the order of magnitudes of his (and only his) associated payoffs. Further, a player is rational in the sense that he assumes that every other player is rational in the above sense. The rational player utilizes knowledge of the other players' payoffs in guiding his choice of strategy, because it gives him information about how the other players' choices are guided. Since, in general, the orders of magnitude of the payoffs that accrue to the several players in the several outcomes do not coincide, a game of strategy is a model of a situation involving conflicts of interests.
Author: Anatol Rapoport
Publisher: Springer Science & Business Media
ISBN: 9401021619
Category : Social Science
Languages : en
Pages : 287
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Book Description
Game theory could be formally defined as a theory of rational decision in conflict situations. Models of such situations, as they are conceived in game theory, involve (1) a set of decision makers, called players; (2) a set of strategies available to each player; (3) a set of outcomes, each of which is a result of particular choices of strategies made by the players on a given play of the game; and (4) a set of payoffs accorded to each player in each of the possible outcomes. It is assumed that each player is 'individually rational', in the sense that his preference ordering of the outcomes is determined by the order of magnitudes of his (and only his) associated payoffs. Further, a player is rational in the sense that he assumes that every other player is rational in the above sense. The rational player utilizes knowledge of the other players' payoffs in guiding his choice of strategy, because it gives him information about how the other players' choices are guided. Since, in general, the orders of magnitude of the payoffs that accrue to the several players in the several outcomes do not coincide, a game of strategy is a model of a situation involving conflicts of interests.
Author: Thomas C. Schelling
Publisher: Harvard University Press
ISBN: 9780674840317
Category : History
Languages : en
Pages : 332
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Book Description
Analyzes the nature of international disagreements and conflict resolution in terms of game theory and non-zero-sum games.
Author: Akio Matsumoto
Publisher: Springer
ISBN: 443154786X
Category : Mathematics
Languages : en
Pages : 265
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Book Description
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: Ichiro Nishizaki
Publisher: Springer Science & Business Media
ISBN: 9783790813609
Category : Mathematics
Languages : en
Pages : 284
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Book Description
Decision makers in managerial and public organizations often encounter de cision problems under conflict or competition, because they select strategies independently or by mutual agreement and therefore their payoffs are then affected by the strategies of the other decision makers. Their interests do not always coincide and are at times even completely opposed. Competition or partial cooperation among decision makers should be considered as an essen tial part of the problem when we deal with the decision making problems in organizations which consist of decision makers with conflicting interests. Game theory has been dealing with such problems and its techniques have been used as powerful analytical tools in the resolution process of the decision problems. The publication of the great work by J. von Neumann and O. Morgen stern in 1944 attracted attention of many people and laid the foundation of game theory. We can see remarkable advances in the field of game theory for analysis of economic situations and a number of books in the field have been published in recent years. The aim of game theory is to specify the behavior of each player so as to optimize the interests of the player. It then recommends a set of solutions as strategies so that the actions chosen by each decision maker (player) lead to an outcome most profitable for himself or her self.
Author: Roger B. Myerson
Publisher: Harvard University Press
ISBN: 0674728629
Category : Business & Economics
Languages : en
Pages : 588
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Book Description
Eminently suited to classroom use as well as individual study, Roger Myerson's introductory text provides a clear and thorough examination of the models, solution concepts, results, and methodological principles of noncooperative and cooperative game theory. Myerson introduces, clarifies, and synthesizes the extraordinary advances made in the subject over the past fifteen years, presents an overview of decision theory, and comprehensively reviews the development of the fundamental models: games in extensive form and strategic form, and Bayesian games with incomplete information. Game Theory will be useful for students at the graduate level in economics, political science, operations research, and applied mathematics. Everyone who uses game theory in research will find this book essential.
Author: Anatol Rapoport
Publisher: Courier Corporation
ISBN: 0486281094
Category : Mathematics
Languages : en
Pages : 241
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Book Description
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: Gabriel Frahm
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110596105
Category : Business & Economics
Languages : en
Pages : 356
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Book Description
"This book is refreshing, innovative and important for several reasons. Perhaps most importantly, it attempts to reconcile game theory with one-person decision theory by viewing a game as a collection of one-person decision problems. As natural as this approach may seem, it is hard to find game theory books that really implement this view. This book is a wonderful exception, in which the transition between decision theory and game theory is both smooth and natural. It shows that decision theory and game theory can go—and, in fact, must go—hand in hand. The careful exposition, the many illustrative examples, the critical assessment of traditional game theory concepts, and the enlightening comparison with the subjectivistic approach advocated in this book, make it a pleasure to read and a must have for anyone interested in the foundations of decision theory and game theory." Andrés Perea (Maastricht University) "Gabriel Frahm's relatively nontechnical book is a bold synthesis of decision theory and game theory from a Bayesian or subjectivist perspective. It distinguishes between decisions, or one-person games, and games with two or more players, but Frahm argues that this distinction is not always necessary—the two kinds of games can be analyzed within a common theoretical framework. He models the dynamics of choice in several different settings (e.g., information may be complete or incomplete as well as perfect or imperfect), including one in which players look ahead and make farsighted calculations on which they base their choices. His book contains many provocative examples that illustrate the advantages of a unified theory of rational decision-making." Steven J. Brams (New York University)
Author: Mary Scannell
Publisher: McGraw Hill Professional
ISBN: 0071743669
Category : Business & Economics
Languages : en
Pages : 240
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Book Description
Make workplace conflict resolution a game that EVERYBODY wins! Recent studies show that typical managers devote more than a quarter of their time to resolving coworker disputes. The Big Book of Conflict-Resolution Games offers a wealth of activities and exercises for groups of any size that let you manage your business (instead of managing personalities). Part of the acclaimed, bestselling Big Books series, this guide offers step-by-step directions and customizable tools that empower you to heal rifts arising from ineffective communication, cultural/personality clashes, and other specific problem areas—before they affect your organization's bottom line. Let The Big Book of Conflict-Resolution Games help you to: Build trust Foster morale Improve processes Overcome diversity issues And more Dozens of physical and verbal activities help create a safe environment for teams to explore several common forms of conflict—and their resolution. Inexpensive, easy-to-implement, and proved effective at Fortune 500 corporations and mom-and-pop businesses alike, the exercises in The Big Book of Conflict-Resolution Games delivers everything you need to make your workplace more efficient, effective, and engaged.
Author: Steven J. Brams
Publisher: MIT Press
ISBN: 0262015226
Category : Business & Economics
Languages : en
Pages : 334
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Book Description
Game theory models are ubiquitous in economics, common in political science, and increasingly used in psychology and sociology; in evolutionary biology, they offer compelling explanations for competition in nature. But game theory has been only sporadically applied to the humanities; indeed, we almost never associate mathematical calculations of strategic choice with the worlds of literature, history, and philosophy. And yet, as Steven Brams shows, game theory can illuminate the rational choices made by characters in texts ranging from the Bible to Joseph Heller's Catch-22 and can explicate strategic questions in law, history, and philosophy. - Brams's strategic exegesis of texts helps the reader relate characters' goals to their choices and the consequences of those choices. Much of his analysis is based on the theory of moves (TOM), which is grounded in game theory, and which he develops gradually and applies systematically throughout. TOM illuminates the dynamics of player choices, including their misperceptions, deceptions, and uses of different kinds of power.
Author:
Publisher: IOS Press
ISBN:
Category :
Languages : en
Pages : 6097
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Book Description
