Essentials of Game Theory: A Concise, Multidisciplinary Introduction

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Morgan & Claypool Publishers, 2008 - Computers - 88 pages
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Game theory is the mathematical study of interaction among independent, self-interested 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 Normal-Form Games / Games with Sequential Actions: The Perfect-information Extensive Form / Generalizing the Extensive Form: Imperfect-Information Games / Repeated and Stochastic Games / Uncertainty about Payoffs: Bayesian Games / Coalitional Game Theory / History and References / Index
 

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User Review  - HadriantheBlind - LibraryThing

Good grounding in the basics of game theory. Can be a bit rough if you have absolutely no compsci/etc. background, but very interesting nonetheless. 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
References
83
Index
85
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Page 84 - R. (2002). Correlated equilibrium payoffs and public signalling in absorbing games. International Journal of Game Theory, 31, 91-121.
Page 83 - KJ (1970). Social choice and individual values. New Haven, CT: Yale University Press.

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