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Game Theory, Alive

Game Theory, Alive
Author: Anna R. Karlin
Publisher: American Mathematical Soc.
Total Pages: 372
Release: 2017-04-27
Genre: Game theory
ISBN: 1470419823

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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.


Game Theory

Game Theory
Author: Michael Maschler
Publisher: Cambridge University Press
Total Pages: 1053
Release: 2020-06-25
Genre: Business & Economics
ISBN: 1108493459

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This new edition is unparalleled in breadth of coverage, thoroughness of technical explanations and number of worked examples.


Game Theory

Game Theory
Author: Steve Tadelis
Publisher: Princeton University Press
Total Pages: 416
Release: 2013-01-06
Genre: Business & Economics
ISBN: 0691129088

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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

Twenty Lectures on Algorithmic Game Theory
Author: Tim Roughgarden
Publisher: Cambridge University Press
Total Pages: 356
Release: 2016-08-30
Genre: Computers
ISBN: 1316781178

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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.


Matt DeVos and Deborah A. Kent

Matt DeVos and Deborah A. Kent
Author: Matt DeVos
Publisher: American Mathematical Soc.
Total Pages: 343
Release: 2016-12-27
Genre: Combinatorial analysis
ISBN: 1470422107

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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.


The Simulation Hypothesis

The Simulation Hypothesis
Author: Rizwan Virk
Publisher: Bayview Books, LLC
Total Pages: 324
Release: 2019-03-31
Genre: Computers
ISBN:

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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!


Play Your Bigger Game

Play Your Bigger Game
Author: Rick Tamlyn
Publisher: Hay House, Inc
Total Pages: 224
Release: 2013-10-01
Genre: Self-Help
ISBN: 1401943691

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Play Your Bigger Game provides a philosophy and methodology that you can learn in just nine minutes, and it will serve you for the rest of your life. Self-empowerment expert Rick Tamlyn believes that life is all made up. So why not make it a game of your own design—one that excites, challenges, and allows you to fully express your talents and creativity? When you play your bigger game, you create a life that is dynamic, engaging, and wildly inspiring. This book is your antidote to inertia—you will never feel stuck again. Each and every day, it will motivate you to keep stretching, achieving, and thriving above and beyond any boundaries or limitations that might have held you back in the past. Play Your Bigger Game offers pathways, tools, and inspiring stories to feed the hunger in your soul, light the fires of your imagination, and build a fulfilling life and a lasting legacy. If you long to: • have a more positive impact within your family, your work, your community, or organization • make a change, but you aren’t sure what sort of change • create meaningful work • take responsibility and direct your destiny • make a difference or leave a legacy . . . then you should join thousands of others around the world and play your bigger game!


Dynamic Noncooperative Game Theory

Dynamic Noncooperative Game Theory
Author: Tamer Basar
Publisher: SIAM
Total Pages: 534
Release: 1999-01-01
Genre: Mathematics
ISBN: 9781611971132

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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.


Black Chalk

Black Chalk
Author: Christopher J. Yates
Publisher: Picador
Total Pages: 352
Release: 2015-08-04
Genre: Fiction
ISBN: 1250075564

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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.


Probability on Trees and Networks

Probability on Trees and Networks
Author: Russell Lyons
Publisher: Cambridge University Press
Total Pages: 1106
Release: 2017-01-20
Genre: Mathematics
ISBN: 1316785335

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Starting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.