Essentials of Game Theory: A Concise, Multidisciplinary IntroductionGame theory is the mathematical study of interaction among independent, selfinterested agents. The audience for game theory has grown dramatically in recent years, and now spans disciplines as diverse as political science, biology, psychology, economics, linguistics, sociology, and computer science, among others. What has been missing is a relatively short introduction to the field covering the common basis that anyone with a professional interest in game theory is likely to require. Such a text would minimize notation, ruthlessly focus on essentials, and yet not sacrifice rigor. This Synthesis Lecture aims to fill this gap by providing a concise and accessible introduction to the field. It covers the main classes of games, their representations, and the main concepts used to analyze them. Table of Contents: Games in Normal Form / Analyzing Games: From Optimality to Equilibrium / Further Solution Concepts for NormalForm Games / Games with Sequential Actions: The Perfectinformation Extensive Form / Generalizing the Extensive Form: ImperfectInformation Games / Repeated and Stochastic Games / Uncertainty about Payoffs: Bayesian Games / Coalitional Game Theory / History and References / Index 
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Review: Essentials of Game Theory: A Concise Multidisciplinary Introduction (Synthesis Lectures on Artificial Intelligence and Machine Learning)
User Review  Kevin K  GoodreadsUseful book if you have a college math degree or the equivalent. Otherwise, don't buy this book! There are no exercises for working with the solution concepts. Essentially this is a reference volume ... Read full review
Review: Essentials of Game Theory: A Concise Multidisciplinary Introduction (Synthesis Lectures on Artificial Intelligence and Machine Learning)
User Review  Sandeep Bhasin  GoodreadsIf you are taking a course on Coursera on Game Theory , this book will come in handy. Else, you will find better, detailed books on the subject. Follow this space for more... Read full review
Contents
Games in Normal Form  1 
THE TCP USERS GAME  2 
12 DEFINITION OF GAMES IN NORMAL FORM  3 
132 Commonpayoff Games  4 
133 Zerosum Games  5 
134 Battle of the Sexes  6 
Analyzing Games From Optimality To Equilibrium  9 
22 DEFINING BEST RESPONSE AND NASH EQUILIBRIUM  10 
52 STRATEGIES AND EQUILIBRIA  42 
53 SEQUENTIAL EQUILIBRIUM  45 
Repeated and Stochastic Games  49 
62 INFINITELY REPEATED GAMES  50 
63 STOCHASTIC GAMES  53 
632 Strategies and Equilibria  54 
Uncertainty About Payoffs Bayesian Games  57 
71 DEFINITION  59 
23 FINDING NASH EQUILIBRIA  11 
Further Solution Concepts for NormalForm Games  15 
32 MINIMAX REGRET  18 
33 REMOVAL OF DOMINATED STRATEGIES  20 
34 RATIONALIZABILITY  23 
35 CORRELATED EQUILIBRIUM  24 
36 TREMBLINGHAND PERFECT EQUILIBRIUM  26 
37 ϵNASH EQUILIBRIUM  27 
38 EVOLUTIONARILY STABLE STRATEGIES  28 
Games With Sequential Actions The PerfectInformation Extensive Form  31 
42 STRATEGIES AND EQUILIBRIA  32 
43 SUBGAMEPERFECT EQUILIBRIUM  35 
44 BACKWARD INDUCTION  38 
Generalizing the Extensive Form ImperfectInformation Games  41 
712 Extensive form with Chance Moves  60 
713 Epistemic Types  61 
73 COMPUTING EQUILIBRIA  64 
74 EXPOST EQUILIBRIA  67 
Coalitional Game Theory  69 
82 CLASSES OF COALITIONAL GAMES  70 
83 ANALYZING COALITIONAL GAMES  72 
831 The Shapley Value  73 
832 The Core  75 
History and References  79 
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85  
Common terms and phrases
action proﬁle agent i’s algorithm backward induction Bayesian game behavioral strategies best response Chapter choice nodes choose coalitional game theory column player commonpayoff games core correlated equilibrium deﬁned Deﬁnition evolutionarily stable strategy example expected payoff expected utility extensive form ﬁnal ﬁnd ﬁrst game from Figure game G game in extensive game in Figure game theory games of perfect given grand coalition induced normal form inﬁnitely repeated games information set Intuitively Matching Pennies maxmin strategy maxmin value minmax strategy minmax value mixed strategies mixedstrategy proﬁle nplayer Nash equilibrium normalform game notion outcome payoff proﬁle payoff vector perfect recall perfectinformation games player 1’s Prisoner’s Dilemma game probability distribution pure strategy rationalizable strategies reduced game repeated games row player Shapley value solution concepts stage game stochastic game strategy for player strategy proﬁle strategy space subgame subgameperfect equilibrium superadditive Theorem ui(si utility function weakly zerosum games