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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.
This new edition is unparalleled in breadth of coverage, thoroughness of technical explanations and number of worked examples.
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.
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
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.
Change the way you think about work, productivity, and creativity - and go from surviving to thriving! 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!
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.
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.
Modern Poker Theory is a comprehensive, rigorous guide to the most important aspects of No-Limit Hold’em. It is based around an in-depth examination of what is meant by game theory optimal play (GTO) and how it can be applied at the table. Understanding GTO is fundamental to being able to make accurate poker decisions and being able to exploit players who don’t. Modern Poker Theory uses modern poker tools to develop a systematic approach to the analysis of GTO. It organizes the ideas and concepts in an intuitive manner that is totally focused to practical applications. Next time you are at a table some of the players will have studied Modern Poker Theory and some won’t. The players who have studied Modern Poker Theory will, without doubt, have a better theoretical and practical understanding of No-Limit Hold’em. They will be the favourites in the game. Make sure you are one of them. Michael Acevedo, one of the world’s leading poker theorists, is a game theory expert who is renowned for creating cutting-edge content for the world’s leading players. The production of Modern Poker Theory is the culmination of many thousands of hours of his research work with the most advanced poker software tools available. It is poker theory for the 21st century.
A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.