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.

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.

A series of closely interrelated essays on game theory, this book deals with an area in which progress has been least satisfactory—the situations where there is a common interest as well as conflict between adversaries: negotiations, war and threats of war, criminal deterrence, extortion, tacit bargaining. It proposes enlightening similarities between, for instance, maneuvering in limited war and in a traffic jam; deterring the Russians and one’s own children; the modern strategy of terror and the ancient institution of hostages.

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.

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.

′The SAGE Handbook of Conflict Resolution demonstrates the range of themes that constitute modern conflict resolution. It brings out its key issues, methods and dilemmas through original contributions by leading scholars in a dynamic and expanding field of inquiry. This handbook is exactly what it sets out to be: an indispensable tool for teaching, research and practice in conflict resolution′ - Peter Wallensteen, Professor of Peace and Conflict Research, Uppsala University and University of Notre Dame ′Bercovitch, Kremenyuk and Zartman are among the most important figures in the conflict resolution field. They have pieced together, with the help of more than 35 colleagues from numerous countries, a state-of-the-art review of the sources of international conflict, available methods of conflict management, and the most difficult challenges facing the individuals and organizations trying to guide us through these conflict-ridden times. The collection is brimming with penetrating insights, trenchant analyses, compelling cases, and disciplined speculation. They help us understand both the promise of as well as the obstacles to theory-building in the new field of conflict resolution′ - Lawrence Susskind, Professor and Director of the MIT - Harvard Public Disputes Program ′The last three sentences of this persuasive book: "We conclude this volume more than ever convinced that conflict resolution is not just possible or desirable in the current international environment. It is absolutely necessary. Resolving conflicts and making peace is no longer an option; it is an intellectual and practical skill that we must all posses." If you are part of that "we," intellectually or professionally, you will find this book a superb companion′ - Thomas C Schelling, Professor Emeritus, Harvard University and University of Maryland Conflict resolution is one of the fastest-growing academic fields in the world today. Although it is a relatively young discipline, having emerged as a specialized field in the 1950′s, it has rapidly grown into a self-contained, vibrant, interdisciplinary field. The SAGE Handbook of Conflict Resolution brings together all the conceptual, methodological and substantive elements of conflict resolution into one volume of over 35 specially commissioned chapters. The Handbook is designed to reflect where the field is today by drawing on the contributions of experts from different fields presenting, in a systematic way, the most recent research and practice. Jacob Bercovitch is Professor of International Relations, and Fellow of the Royal Society, at the University of Canterbury in Christchurch, New Zealand. Victor Kremenyuk is deputy director of the Institute for USA and Canada Studies, Russian Academy of Sciences, Moscow. He is also a research associate at IIASA. I. William Zartman is Jacob Blaustein Professor of Conflict Resolution and International Organization at the Nitze School of Advanced International Studies of Johns Hopkins University

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.