Game Theory, Alive

Game Theory, Alive

Author: Anna R. Karlin

Publisher: American Mathematical Soc.

Published: 2017-04-27

Total Pages: 400

ISBN-13: 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

Published: 2020-06-25

Total Pages: 1053

ISBN-13: 1108493459

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


Twenty Lectures on Algorithmic Game Theory

Twenty Lectures on Algorithmic Game Theory

Author: Tim Roughgarden

Publisher: Cambridge University Press

Published: 2016-08-30

Total Pages: 356

ISBN-13: 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.


Game Theory

Game Theory

Author: Steve Tadelis

Publisher: Princeton University Press

Published: 2013-01-06

Total Pages: 416

ISBN-13: 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


Matt DeVos and Deborah A. Kent

Matt DeVos and Deborah A. Kent

Author: Matt DeVos

Publisher: American Mathematical Soc.

Published: 2016-12-27

Total Pages: 361

ISBN-13: 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.


How to Win Games and Beat People

How to Win Games and Beat People

Author: Tom Whipple

Publisher: HarperCollins

Published: 2015-12-01

Total Pages: 187

ISBN-13: 0062443720

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Destroy the competition on game night with this seriously funny guide packed with handy strategy, tricks, and tips from the experts Games are way more fun to play when you win—especially when you crush your friends and family! In How to Win Games and Beat People, Times science editor Tom Whipple explores inside tips, strategy, and advice from a ridiculously overqualified array of experts that will help you dominate the competition when playing a wide range of classic games—from Hangman to Risk to Trivial Pursuit and more. A mathematician explains how to approach Connect 4; a racecar driver guides you through the corners in slot car racing; a mime shares trade secrets for performing the best Charades; a Scrabble champion reveals his secret strategies; and a game theorist teaches you to become a real estate magnate, recommending the Monopoly properties to acquire that will bankrupt and embarrass your opponents (sorry, Mom and Dad). Funny, smart, and endlessly useful, this is a must-read for anyone who takes games too seriously, and the bible for sore losers everywhere.


Probability on Trees and Networks

Probability on Trees and Networks

Author: Russell Lyons

Publisher: Cambridge University Press

Published: 2017-01-20

Total Pages: 1023

ISBN-13: 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.


Dynamic Noncooperative Game Theory

Dynamic Noncooperative Game Theory

Author: Tamer Basar

Publisher: SIAM

Published: 1999-01-01

Total Pages: 534

ISBN-13: 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.


Fractals in Probability and Analysis

Fractals in Probability and Analysis

Author: Christopher J. Bishop

Publisher: Cambridge University Press

Published: 2017

Total Pages: 415

ISBN-13: 1107134110

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A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.


Sometimes I Lie

Sometimes I Lie

Author: Alice Feeney

Publisher: Flatiron Books

Published: 2018-03-13

Total Pages: 272

ISBN-13: 1250144833

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ALICE FEENEYS NEW YORK TIMES AND INTERNATIONAL BESTSELLER “Boldly plotted, tightly knotted—a provocative true-or-false thriller that deepens and darkens to its ink-black finale. Marvelous.” —AJ Finn, author of The Woman in the Window 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?