This text offers an exceptionally clear presentation of the mathematical theory of games of strategy and its applications to many fields including economics, military, business, and operations research.

This book gives a concise presentation of the mathematical foundations of Game Theory, with an emphasis on strategic analysis linked to information and dynamics. It is largely self-contained, with all of the key tools and concepts defined in the text. Combining the basics of Game Theory, such as value existence theorems in zero-sum games and equilibrium existence theorems for non-zero-sum games, with a selection of important and more recent topics such as the equilibrium manifold and learning dynamics, the book quickly takes the reader close to the state of the art. Applications to economics, biology, and learning are included, and the exercises, which often contain noteworthy results, provide an important complement to the text. Based on lectures given in Paris over several years, this textbook will be useful for rigorous, up-to-date courses on the subject. Apart from an interest in strategic thinking and a taste for mathematical formalism, the only prerequisite for reading the book is a solid knowledge of mathematics at the undergraduate level, including basic analysis, linear algebra, and probability.

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.

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.

This book deals with applications of game theory in a wide variety of disciplines.

Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.

This book considers a specific problem—generally a game or game fragment, and introduces the mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games.

Gain some insight into the game of life... Game Theory means rigorous strategic thinking. It is based on the idea that everyone acts competitively and in his own best interest. With the help of mathematical models, it is possible to anticipate the actions of others in nearly all life's enterprises. This book includes down-to-earth examples and solutions, as well as charts and illustrations designed to help teach the concept. In The Complete Idiot's Guide® to Game Theory, Dr. Edward C. Rosenthal makes it easy to understand game theory with insights into: ? The history of the disciple made popular by John Nash, the mathematician dramatized in the film A Beautiful Mind ? The role of social behavior and psychology in this amazing discipline ? How important game theory has become in our society and why

Embark on a journey to unlock the secrets behind successful decision-making with "Strategic Decisions: The Mathematics of Game Theory." This comprehensive exploration leaves no stone unturned in the intricate world of game theory, offering insights into how individuals, businesses, and nations make strategic choices in various contexts. Whether you're navigating the complexities of competitive markets, political landscapes, or everyday interactions, this book equips you with the tools to understand and influence outcomes, ensuring a confident and reassured learning journey. In "Strategic Decisions," you'll not only grasp the foundational game theory concepts, including Nash equilibrium, dominant strategies, and mixed strategies, but also witness their real-world applications. The book transcends theory to explore practical applications in economics, politics, business, and beyond, empowering you with the knowledge of how game theory can be applied to real-world situations. From optimizing market strategies to understanding the dynamics of international relations, this book provides a rich understanding of the strategic behavior that shapes our world. What You Will Find in This Book: The history and evolution of game theory Key concepts like Nash equilibrium and dominant strategies Applications of game theory in economics and market strategies Insights into political strategy and international relations The role of information and signaling in decision-making Behavioral game theory and human psychology Ethical and philosophical considerations in strategic choices Case studies and practical applications across various fields Whether you're a student, professional, or curious reader, "Strategic Decisions: The Mathematics of Game Theory" offers not just insights, but a potential transformation in your approach to decision-making. Dive into the world of game theory and let it inspire and motivate you to make strategic choices that can shape your future.