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Author : Anna R. Karlin,Yuval Peres Publisher : American Mathematical Soc. Page : 372 pages File Size : 47,6 Mb Release : 2017-04-27 Category : Game theory ISBN : 9781470419820
Game Theory, Alive by Anna R. Karlin,Yuval Peres Pdf
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.
The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students
Twenty Lectures on Algorithmic Game Theory by Tim Roughgarden Pdf
Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.
Author : K. G. Binmore,A. P. Kirman,Piero Tani Publisher : MIT Press Page : 372 pages File Size : 49,6 Mb Release : 1993 Category : Business & Economics ISBN : 0262023563
Frontiers of Game Theory by K. G. Binmore,A. P. Kirman,Piero Tani Pdf
seventeen contributions reflecting the many diverse approaches in the field todayThese seventeen contributions take up the most recent research in game theory, reflecting the many diverse approaches in the field today. They are classified in five general tactical categories - prediction, explanation, investigation, description, and prescription - and wit in these along applied and theoretical divisions. The introduction clearly lays out this framework.
The Simulation Hypothesis, by best-selling author, renowned MIT computer scientist and Silicon Valley video game designer Rizwan Virk, is the first serious book to explain one of the most daring and consequential theories of our time. Riz is the Executive Director of Play Labs @ MIT, a video game startup incubator at the MIT Game Lab. Drawing from research and concepts from computer science, artificial intelligence, video games, quantum physics, and referencing both speculative fiction and ancient eastern spiritual texts, Virk shows how all of these traditions come together to point to the idea that we may be inside a simulated reality like the Matrix. The Simulation Hypothesis is the idea that our physical reality, far from being a solid physical universe, is part of an increasingly sophisticated video game-like simulation, where we all have multiple lives, consisting of pixels with its own internal clock run by some giant Artificial Intelligence. Simulation theory explains some of the biggest mysteries of quantum and relativistic physics, such as quantum indeterminacy, parallel universes, and the integral nature of the speed of light. Recently, the idea that we may be living in a giant video game has received a lot of attention: “There’s a one in a billion chance we are not living in a simulation” -Elon Musk “I find it hard to argue we are not in a simulation.” -Neil deGrasse Tyson “We are living in computer generated reality.” -Philip K. Dick Video game technology has developed from basic arcade and text adventures to MMORPGs. Video game designer Riz Virk shows how these games may continue to evolve in the future, including virtual reality, augmented reality, Artificial Intelligence, and quantum computing. This book shows how this evolution could lead us to the point of being able to develop all encompassing virtual worlds like the Oasis in Ready Player One, or the simulated reality in the Matrix. While the idea sounds like science fiction, many scientists, engineers, and professors have given the Simulation Hypothesis serious consideration. Futurist Ray Kurzweil has popularized the idea of downloading our consciousness into a silicon based device, which would mean we are just digital information after all. Some, like Oxford lecturer Nick Bostrom, goes further and thinks we may in fact be artificially intelligent consciousness inside such a simulation already! But the Simulation Hypothesis is not just a modern idea. Philosophers like Plato have been telling us that we live in a “cave” and can only see shadows of the real world. Mystics of all traditions have long contended that we are living in some kind of “illusion “and that there are other realities which we can access with our minds. While even Judeo-Christian traditions have this idea, Eastern traditions like Buddhism and Hinduism make this idea part of their core tradition — that we are inside a dream world (“Maya” or illusion, or Vishnu’s Dream), and we have “multiple lives” playing different characters when one dies, continuing to gain experience and “level up” after completing certain challenges. Sounds a lot like a video game! Whether you are a computer scientist, a fan of science fiction like the Matrix movies, a video game enthusiast, or a spiritual seeker, The Simulation Hypothesis touches on all these areas, and you will never look at the world the same way again!
Game-Theoretical Models in Biology by Mark Broom,Jan Rychtar Pdf
Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In addition, the authors explore many applications of game theory to biology, making the text useful to biologists as well. The book describes a wide range of topics in evolutionary games, including matrix games, replicator dynamics, the hawk-dove game, and the prisoner’s dilemma. It covers the evolutionarily stable strategy, a key concept in biological games, and offers in-depth details of the mathematical models. Most chapters illustrate how to use MATLAB® to solve various games. Important biological phenomena, such as the sex ratio of so many species being close to a half, the evolution of cooperative behavior, and the existence of adornments (for example, the peacock’s tail), have been explained using ideas underpinned by game theoretical modeling. Suitable for readers studying and working at the interface of mathematics and the life sciences, this book shows how evolutionary game theory is used in the modeling of these diverse biological phenomena.
Leadership on the Line, With a New Preface by Ronald Heifetz,Marty Linsky Pdf
The dangerous work of leading change--somebody has to do it. Will you put yourself on the line? To lead is to live dangerously. It's romantic and exciting to think of leadership as all inspiration, decisive action, and rich rewards, but leading requires taking risks that can jeopardize your career and your personal life. It requires putting yourself on the line, disrupting the status quo, and surfacing hidden conflict. And when people resist and push back, there's a strong temptation to play it safe. Those who choose to lead plunge in, take the risks, and sometimes get burned. But it doesn't have to be that way say renowned leadership experts Ronald Heifetz and Marty Linsky. In Leadership on the Line, they show how it's possible to make a difference without getting "taken out" or pushed aside. They present everyday tools that give equal weight to the dangerous work of leading change and the critical importance of personal survival. Through vivid stories from all walks of life, the authors present straightforward strategies for navigating the perilous straits of leadership. Whether you're a parent or a politician, a CEO or a community activist, this practical book shows how you can exercise leadership and survive and thrive to enjoy the fruits of your labor.
Matt DeVos and Deborah A. Kent by Matt DeVos,Deborah A. Kent Pdf
This book offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and rich tour of the subject united by a common theme of strategic reasoning. Designed as a textbook for an undergraduate mathematics class and with ample material and limited dependencies between the chapters, the book is adaptable to a variety of situations and a range of audiences. Instructors, students, and independent readers alike will appreciate the flexibility in content choices as well as the generous sets of exercises at various levels.
Dynamic Noncooperative Game Theory by Tamer Basar,Geert Jan Olsder Pdf
Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.
Game Theory and Strategy by Philip D. Straffin Pdf
This book is an introduction to mathematical game theory, which might better be called the mathematical theory of conflict and cooperation. It is applicable whenever two individuals—or companies, or political parties, or nations—confront situations where the outcome for each depends on the behavior of all. What are the best strategies in such situations? If there are chances of cooperation, with whom should you cooperate, and how should you share the proceeds of cooperation? Since its creation by John von Neumann and Oskar Morgenstern in 1944, game theory has shed new light on business, politics, economics, social psychology, philosophy, and evolutionary biology. In this book, its fundamental ideas are developed with mathematics at the level of high school algebra and applied to many of these fields (see the table of contents). Ideas like “fairness” are presented via axioms that fair allocations should satisfy; thus the reader is introduced to axiomatic thinking as well as to mathematical modeling of actual situations.
My name is Amber Reynolds. There are three things you should know about me: 1. I’m in a coma. 2. My husband doesn’t love me anymore. 3. Sometimes I lie. Amber wakes up in a hospital. She can’t move. She can’t speak. She can’t open her eyes. She can hear everyone around her, but they have no idea. Amber doesn’t remember what happened, but she has a suspicion her husband had something to do with it. Alternating between her paralyzed present, the week before her accident, and a series of childhood diaries from twenty years ago, this brilliant psychological thriller asks: Is something really a lie if you believe it's the truth?
A compulsively readable psychological thriller set in New York and at Oxford University in which a group of six students play an elaborate game of dares and consequences with tragic result It was only ever meant to be a game played by six best friends in their first year at Oxford University; a game of consequences, silly forfeits, and childish dares. But then the game changed: The stakes grew higher and the dares more personal and more humiliating, finally evolving into a vicious struggle with unpredictable and tragic results. Now, fourteen years later, the remaining players must meet again for the final round. Who knows better than your best friends what would break you? A gripping psychological thriller partly inspired by the author's own time at Oxford University, Black Chalk is perfect for fans of the high tension and expert pacing of The Secret History and The Bellwether Revivals. Christopher J. Yates' background in puzzle writing and setting can clearly be seen in the plotting of this clever, tricky book that will keep you guessing to the very end.
A masterful work of science writing that’s "both a fascinating biography of von Neumann, the Hungarian exile whose mathematical theories were building blocks for the A-bomb and the digital computer, and a brilliant social history of game theory and its role in the Cold War and nuclear arms race" (San Francisco Chronicle). Should you watch public television without pledging?...Exceed the posted speed limit?...Hop a subway turnstile without paying? These questions illustrate the so-called "prisoner's dilemma", a social puzzle that we all face every day. Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching players bluff in a poker game inspired John von Neumann—father of the modern computer and one of the sharpest minds of the century—to construct game theory, a mathematical study of conflict and deception. Game theory was readily embraced at the RAND Corporation, the archetypical think tank charged with formulating military strategy for the atomic age, and in 1950 two RAND scientists made a momentous discovery. Called the "prisoner's dilemma," it is a disturbing and mind-bending game where two or more people may betray the common good for individual gain. Introduced shortly after the Soviet Union acquired the atomic bomb, the prisoner's dilemma quickly became a popular allegory of the nuclear arms race. Intellectuals such as von Neumann and Bertrand Russell joined military and political leaders in rallying to the "preventive war" movement, which advocated a nuclear first strike against the Soviet Union. Though the Truman administration rejected preventive war the United States entered into an arms race with the Soviets and game theory developed into a controversial tool of public policy—alternately accused of justifying arms races and touted as the only hope of preventing them. Prisoner's Dilemma is the incisive story of a revolutionary idea that has been hailed as a landmark of twentieth-century thought.
