Download or read book Math for Everyone Game Theory written by Félix González and published by Félix Enrique González Solano. This book was released on 2024-03-07 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Games have always been a part of man's life, but perhaps at the end of the previous millennium, we realized their importance mainly because of politics and economics. When two large companies fight to win buyers, they establish a game. Obviously, the more buyers a company has, the greater its profit. So on a daily basis they use strategies to win buyers. A common example is "bidding" where they lower the prices of certain products for a while, looking to attract more buyers. But think about it, if a company uses this strategy, the other company can't just sit back and do nothing, so it will be forced to counteract the other company's move. In other words, a game is established between them. The same thing happens in politics when several opponents look for the population to vote for them, each one performs a strategy seeking to obtain the largest number of voters. If you think about it a little, you will see that games are in your daily life. When you are looking for a strategy to make your time at work as short as possible (you are competing against others who are looking for the same thing and can affect your commute to work), when you want to "force" your children to do housework, when you are thinking about negotiating a salary increase, and so on. The purpose of this book is to introduce you to the world of games, but from a formal perspective. We will start by looking at examples of games and strategies for winning them, and then formalize these definitions in chapters 2 and 3.
Download or read book Math for Everyone written by Félix Dieudonné and published by . This book was released on 2020-01-30 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Games have always been a part of man's life, but perhaps at the end of the previous millennium, we realized their importance mainly because of politics and economics. When two large companies fight to win buyers, they establish a game. Obviously, the more buyers a company has, the greater its profit. So on a daily basis they use strategies to win buyers. A common example is "bidding" where they lower the prices of certain products for a while, looking to attract more buyers. But think about it, if a company uses this strategy, the other company can't just sit back and do nothing, so it will be forced to counteract the other company's move. In other words, a game is established between them. The same thing happens in politics when several opponents look for the population to vote for them, each one performs a strategy seeking to obtain the largest number of voters. If you think about it a little, you will see that games are in your daily life. When you are looking for a strategy to make your time at work as short as possible (you are competing against others who are looking for the same thing and can affect your commute to work), when you want to "force" your children to do housework, when you are thinking about negotiating a salary increase, and so on. The purpose of this book is to introduce you to the world of games, but from a formal perspective. We will start by looking at examples of games and strategies for winning them, and then formalize these definitions in chapters 2 and 3. I hope you will find this great mathematical theory entertaining.
Download or read book The Complete Idiot s Guide to Game Theory written by Edward C. Rosenthal Ph.D. and published by Penguin. This book was released on 2011-03-01 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 discipline 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
Download or read book Game Theory written by John Cummings and published by . This book was released on 2020-10-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Although game theory as a salient concept is relatively young, the principles behind game theory have for millennia allowed humans to anticipate the behavior of their fellows and work out compelling exchanges that suit everyone's self-interest, allowing people to benefit both individually and collectively. This book serves as a complete guide to game theory, and will explain the principles of game theory, while also providing practical examples such as the Prisoner's Dilemma, and the role that game theory played during the Cold War. Game theory principles are used to inform strategists, entrepreneurs, politicians, analysts, and philosophers, and help them make strong decisions in military, commercial, social, and moral areas. In all things, game theory principles can be used to logically minimize risk, reduce the chances of calamity, and gain an understanding of rational human behavior. Whether you're trying to help your team cooperate or you're ambitiously trying to figure out your next campaign strategy, game theory can be a useful tool for you in all arenas of the modern world!
Download or read book Mathematical Foundations of Game Theory written by Rida Laraki and published by Springer Nature. This book was released on 2019-09-07 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Game Theory written by Roger B. Myerson and published by Harvard University Press. This book was released on 2013-03-01 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Rock Paper Scissors written by Len Fisher and published by Basic Books. This book was released on 2008-11-04 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praised by Entertainment Weekly as “the man who put the fizz into physics,” Dr. Len Fisher turns his attention to the science of cooperation in his lively and thought-provoking book. Fisher shows how the modern science of game theory has helped biologists to understand the evolution of cooperation in nature, and investigates how we might apply those lessons to our own society. In a series of experiments that take him from the polite confines of an English dinner party to crowded supermarkets, congested Indian roads, and the wilds of outback Australia, not to mention baseball strategies and the intricacies of quantum mechanics, Fisher sheds light on the problem of global cooperation. The outcomes are sometimes hilarious, sometimes alarming, but always revealing. A witty romp through a serious science, Rock, Paper, Scissors will both teach and delight anyone interested in what it what it takes to get people to work together.
Download or read book Two person Game Theory written by Anatol Rapoport and published by . This book was released on 1966 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Game Theory written by Hans Peters and published by Springer. This book was released on 2015-06-04 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answers and solutions are included.
Download or read book Understanding Game Theory written by Vasilij Nikiti? Kolokol'cov and published by World Scientific. This book was released on 2010 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers a concise but wide-ranging introduction to games, including older (pre-game theory) party games and more recent topics like elections and evolutionary games and is generously spiced with excursions into philosophy, history, literature and politics.
Download or read book Game Theory written by Brian Clegg and published by Icon Books. This book was released on 2022-04-21 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brian Clegg was always fascinated by Isaac Asimov's classic Foundation series of books, in which the future is predicted using sophisticated mathematical modelling of human psychology and behaviour. Only much later did he realise that Asimov's 'psychohistory' had a real-world equivalent: game theory. Originating in the study of probabilistic gambling games that depend on a random source - the throw of a dice or the toss of a coin - game theory soon came to be applied to human interactions: essentially, what was the best strategy to win, whatever you were doing? Its mathematical techniques have been applied, with varying degrees of wisdom, to fields such as economics, evolution, and questions such as how to win a nuclear war. Clegg delves into game theory's colourful history and significant findings, and shows what we can all learn from this oft-misunderstood field of study.
Download or read book Introducing Game Theory and its Applications written by Elliott Mendelson and published by CRC Press. This book was released on 2016-02-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Discrete Mathematics and Game Theory written by Guillermo Owen and published by Springer Science & Business Media. This book was released on 1999-11-30 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes highly applicable mathematics without using calculus or limits in general. The study agrees with the opinion that the traditional calculus/analysis is not necessarily the only proper grounding for academics who wish to apply mathematics. The choice of topics is based on a desire to present those facets of mathematics which will be useful to economists and social/behavioral scientists. The volume is divided into seven chapters. Chapter I presents a brief review of the solution of systems of linear equations by the use of matrices. Chapter III introduces the theory of probability. The rest of the book deals with new developments in mathematics such as linear and dynamic programming, the theory of networks and the theory of games. These developments are generally recognized as the most important field in the `new mathematics' and they also have specific applications in the management sciences.
Download or read book Advances in Game Theory AM 52 Volume 52 written by Melvin Dresher and published by Princeton University Press. This book was released on 2016-03-02 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Advances in Game Theory. (AM-52), Volume 52, will be forthcoming.
Download or read book Game Theory written by E. N. Barron and published by John Wiley & Sons. This book was released on 2013-04-22 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exciting new edition of the popular introduction to game theory and its applications The thoroughly expanded Second Edition presents a unique, hands-on approach to game theory. While most books on the subject are too abstract or too basic for mathematicians, Game Theory: An Introduction, Second Edition offers a blend of theory and applications, allowing readers to use theory and software to create and analyze real-world decision-making models. With a rigorous, yet accessible, treatment of mathematics, the book focuses on results that can be used to determine optimal game strategies. Game Theory: An Introduction, Second Edition demonstrates how to use modern software, such as MapleTM, Mathematica®, and Gambit, to create, analyze, and implement effective decision-making models. Coverage includes the main aspects of game theory including the fundamentals of two-person zero-sum games, cooperative games, and population games as well as a large number of examples from various fields, such as economics, transportation, warfare, asset distribution, political science, and biology. The Second Edition features: • A new chapter on extensive games, which greatly expands the implementation of available models • New sections on correlated equilibria and exact formulas for three-player cooperative games • Many updated topics including threats in bargaining games and evolutionary stable strategies • Solutions and methods used to solve all odd-numbered problems • A companion website containing the related Maple and Mathematica data sets and code A trusted and proven guide for students of mathematics and economics, Game Theory: An Introduction, Second Edition is also an excellent resource for researchers and practitioners in economics, finance, engineering, operations research, statistics, and computer science.
Download or read book On Numbers and Games written by John H. Conway and published by CRC Press. This book was released on 2000-12-11 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class that includes both real numbers and ordinal numbers: surreal numbers. The second edition presents developments in mathematical game theory, focusing on surreal numbers and the additive theory of partizan games.
Download or read book Essays in Game Theory written by Nimrod Megiddo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of papers on game theory dedicated to Michael Maschler. Through his dedication and contributions to game theory, Maschler has become an important figure particularly in the area of cooperative games. Game theory has since become an important subject in operations research, economics and management science. As befits such a volume, the main themes covered are cooperative games, coalitions, repeated games, and a cost allocation games. All the contributions are authoritative surveys of a particular topic, so together they will present an invaluable overview of the field to all those working on game theory problems.
