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Noncooperative Game Theory is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. João Hespanha shows that such design challenges can be analyzed through game theoretical perspectives that help to pinpoint each problem's essence: Who are the players? What are their goals? Will the solution to "the game" solve the original design problem? Using the fundamentals of game theory, Hespanha explores these issues and more. The use of game theory in technology design is a recent development arising from the intrinsic limitations of classical optimization-based designs. In optimization, one attempts to find values for parameters that minimize suitably defined criteria—such as monetary cost, energy consumption, or heat generated. However, in most engineering applications, there is always some uncertainty as to how the selected parameters will affect the final objective. Through a sequential and easy-to-understand discussion, Hespanha examines how to make sure that the selection leads to acceptable performance, even in the presence of uncertainty—the unforgiving variable that can wreck engineering designs. Hespanha looks at such standard topics as zero-sum, non-zero-sum, and dynamics games and includes a MATLAB guide to coding. Noncooperative Game Theory offers students a fresh way of approaching engineering and computer science applications. An introduction to game theory applications for students of engineering and computer science Materials presented sequentially and in an easy-to-understand fashion Topics explore zero-sum, non-zero-sum, and dynamics games MATLAB commands are included
This is a textbook for university juniors, seniors, and graduate students majoring in economics, applied mathematics, and related fields. Each chapter is structured so that a core concept of that chapter is presented with motivations, useful applications are given, and related advanced topics are discussed for future study. Many helpful exercises at various levels are provided at the end of each chapter. Therefore, this book is most suitable for readers who intend to study non-cooperative game theory rigorously for both theoretical studies and applications. Game theory consists of non-cooperative games and cooperative games. This book covers only non-cooperative games, which are major tools used in current economics and related areas. Non-cooperative game theory aims to provide a mathematical prediction of strategic choices by decision makers (players) in situations of conflicting interest. Through the logical analyses of strategic choices, we obtain a better understanding of social (economic, business) problems and possible remedies. The book contains many well-known games such as the prisoner’s dilemma, chicken (hawk–dove) game, coordination game, centipede game, and Cournot, Bertrand, and Stackelberg models in oligopoly. It also covers some advanced frameworks such as repeated games with non-simultaneous moves, repeated games with overlapping generations, global games, and voluntarily separable repeated prisoner’s dilemma, so that readers familiar with basic game theory can expand their knowledge. The author’s own research is reflected in topics such as formulations of information and evolutionary stability, which makes this book unique.
Game Theory 101: The Complete Textbook is a no-nonsense, games-centered introduction to strategic form (matrix) and extensive form (game tree) games. From the first lesson to the last, this textbook introduces games of increasing complexity and then teaches the game theoretical tools necessary to solve them. Quick, efficient, and to the point, Game Theory 101: The Complete Textbook is perfect for introductory game theory, intermediate microeconomics, and political science.
Dynamic Noncooperative Game Theory
This book serves as an introduction to game theory for students with no prior game theory knowledge, or with limited background in economics and mathematics. It is specifically designed to provide an intuitive and accessible interdisciplinary approach to game theory, while simultaneously exploring cooperative games, repeated play, correlated equilibrium, and a range of applications. The Instructor Manual is available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected].
Game Theory is the study of mathematical models of strategic interaction among rational decision-makers. It has found application in the fields of economics, computer science, biology and international relations. This book serves to introduce the principles of non-cooperative game theory - including Nash Equilibrium, Zero-sum Games, Non-zero-sum games, Repeated and Stochastic games, and the Shapely Value in coalition game theory. Selected articles on game theory application in real-life are also included.
This book contributes to the theatrical discussions of equilibria that rest on error--in which we include mistaken choices of games to play. Extant game theory recommends diverse strategies (plans of actions) for various given games, particularly those in Nash equilibria, in which no player benefits from one-sided strategy alteration. The literature also refers to the design of games that fit given goals. This is the mechanism design theory; its function is to serve social planners ignorant of the preferences of the people intended to play them. Our study of games avoidance adds to game theory the meta-game of choosing what game to play and what game to avoid playing, and that both players and planners can generate. This comprises a shift from the maximalist position that aims to maximize possible profit to the minimalist one that aims at minimizing possible loss. This shift depends on the question, considering the public interest, what set of games is it advisable to encourage? Obviously, it is advisable to encourage playing some groups of games such as trade, as well as to discourage playing other groups of games such as wars. This shift makes the theory much more applicable to social science: usually, choosing what game to play is less practical than choosing what game not to play. This invites legislation and similar incentives; their study should aim at the improvement of their usefulness. Discussing the possibility of changing both game and strategy renders game theory part-and-parcel of social science. For this mathematical models will not do: it requires a clear distinction between describing options and explaining situations. Explanations may enhance efforts at improvement.
Game Theory through Examples is a thorough introduction to elementary game theory, covering finite games with complete information. The core philosophy underlying this volume is that abstract concepts are best learned when encountered first (and repeatedly) in concrete settings. Thus, the essential ideas of game theory are here presented in the context of actual games, real games much more complex and rich than the typical toy examples. All the fundamental ideas are here: Nash equilibria, backward induction, elementary probability, imperfect information, extensive and normal form, mixed and behavioral strategies. The active-learning, example-driven approach makes the text suitable for a course taught through problem solving. Students will be thoroughly engaged by the extensive classroom exercises, compelling homework problems, and nearly sixty projects in the text. Also available are approximately eighty Java applets and three dozen Excel spreadsheets in which students can play games and organize information in order to acquire a gut feeling to help in the analysis of the games. Mathematical exploration is a deep form of play; that maxim is embodied in this book. Game Theory through Examples is a lively introduction to this appealing theory. Assuming only high school prerequisites makes the volume especially suitable for a liberal arts or general education spirit-of-mathematics course. It could also serve as the active-learning supplement to a more abstract text in an upper-division game theory course.