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Author: Félix González Publisher: Félix Enrique González Solano ISBN: Category : Mathematics Languages : en Pages : 127
Book Description
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.
Author: Félix González Publisher: Félix Enrique González Solano ISBN: Category : Mathematics Languages : en Pages : 127
Book Description
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.
Author: Edward C. Rosenthal Ph.D. Publisher: Penguin ISBN: 1101478845 Category : Mathematics Languages : en Pages : 419
Book Description
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
Author: Elwyn Berlekamp Publisher: CRC Press ISBN: 1439863555 Category : Mathematics Languages : en Pages : 256
Book Description
The ancient game of Go is one of the less obvious candidates for mathematical analysis. With the development of new concepts in combinatorial game theory, the authors have been able to analyze Go games and find solutions to real endgame problems that have stumped professional Go players. Go players with an interest in mathematics and mathematicians
Author: Roger B. Myerson Publisher: Harvard University Press ISBN: 0674728629 Category : Business & Economics Languages : en Pages : 588
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: Len Fisher Publisher: Basic Books ISBN: 0786726938 Category : Science Languages : en Pages : 280
Book Description
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.
Author: John Cummings Publisher: ISBN: 9781761036392 Category : Languages : en Pages :
Book Description
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!
Author: John H. Conway Publisher: CRC Press ISBN: 1439864152 Category : Mathematics Languages : en Pages : 253
Book Description
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.
Author: Ivan Pastine Publisher: Icon Books ISBN: 1785780832 Category : Mathematics Languages : en Pages : 273
Book Description
When should you adopt an aggressive business strategy? How do we make decisions when we don't have all the information? What makes international environmental cooperation possible? Game theory is the study of how we make a decision when the outcome of our moves depends on the decisions of someone else. Economists Ivan and Tuvana Pastine explain why, in these situations, we sometimes cooperate, sometimes clash, and sometimes act in a way that seems completely random. Stylishly brought to life by award-winning cartoonist Tom Humberstone, Game Theory will help readers understand behaviour in everything from our social lives to business, global politics to evolutionary biology. It provides a thrilling new perspective on the world we live in.
Author: Anna R. Karlin Publisher: American Mathematical Soc. ISBN: 1470419823 Category : Mathematics Languages : en Pages : 400
Book Description
We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.
Author: Tom Siegfried Publisher: National Academies Press ISBN: 0309133807 Category : Science Languages : en Pages : 272
Book Description
Millions have seen the movie and thousands have read the book but few have fully appreciated the mathematics developed by John Nash's beautiful mind. Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.
Author: Félix González
Author: Félix González
Author: Edward C. Rosenthal Ph.D.
Author: Elwyn Berlekamp
Author: Roger B. Myerson
Author: Len Fisher
Author: John Cummings
Author: John H. Conway
Author: Ivan Pastine
Author: Anna R. Karlin
Author: Tom Siegfried