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| Author's Preface | |
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| Glossary of Symbols | |
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| 'The Game's Afoot' | |
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| What is a game? | |
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| Examples of games | |
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| Terminology of game theory | |
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| History of game theory | |
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| Problems | |
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| Two-Person Zero-Sum Games | |
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| Extensive form | |
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| Normal form | |
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| Maximin criterion | |
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| Mixed strategies | |
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| Minimax theorem | |
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| Domination | |
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| Worthwhile strategies | |
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| Solutions of 2 x m games | |
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| Equilibrium pairs | |
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| Games with perfect information | |
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| Solving n x m games | |
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| Further reading | |
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| Problems | |
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| Two-Person Non-Zero-Sum Games | |
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| Differences between zero and non-zero-sum games | |
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| Examples | |
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| Equilibrium pairs and maximin-maximin pairs | |
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| Sketch proof of Nash's theorem | |
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| How to find equilibrium pairs (Swastika Method) | |
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| Solution concepts of non-zero-sum games | |
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| Cooperative games | |
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| Bargaining or negotiation set | |
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| Nash's bargaining axioms | |
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| Maximin bargaining solution | |
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| Threat bargaining solution | |
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| Further reading | |
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| Problems | |
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| N-Person Games | |
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| Non-cooperative games | |
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| Characteristic function | |
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| Strategic equivalence of characteristic functions | |
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| Imputations | |
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| The core | |
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| Stable sets | |
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| Nucleolus | |
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| Shapley value | |
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| Other solution concepts | |
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| Further reading | |
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| Problems | |
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| Market Games and Oligopoly | |
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| Edgeworth market games | |
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| [1,1]-market game | |
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| [M,N]-market game | |
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| [1,N]-market game | |
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| [N,N]-market game | |
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| Duopoly and oligopoly | |
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| Cournot equilibrium | |
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| Other solution concepts in duopoly | |
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| Quantity model, symmetric games and oligopoly theory | |
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| Further reading | |
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| Problems | |
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| Metagames | |
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| Objectives of metagames | |
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| Metagames and metaequilibria | |
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| Metarationality theorem | |
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| Examples of metagame analysis | |
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| Symmetric metaequilibria | |
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| Analysis of options | |
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| Analysis of options applied to market strategy | |
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| Further reading | |
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| Problems | |
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| Multi-Stage Games | |
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| Multi-stage games | |
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| Stochastic games, recursive games and supergames | |
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| Discounted stochastic games | |
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| Existence of value | |
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| Advertising example | |
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| Bounds on value iteration | |
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| Recursive games | |
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| Solution of recursive games | |
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| Examples of recursive games | |
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| Supergames | |
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| Relationship between supergames and metagames: oligopoly example | |
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| Further reading | |
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| Problems | |
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| Evolutionary Games | |
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| Introduction | |
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| Evolutionary stable strategies (ESS) | |
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| Examples of evolutionary games | |
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| Properties of evolutionary stable strategies | |
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| How to find evolutionary stable strategies | |
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| War of attrition | |
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| Dynamic evolutionary games | |
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| Stability in dynamic evolutionary games | |
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| Evolutionary stable strategies in multi-type games | |
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| Further reading | |
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| Problems | |
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| Bidding and Auctions | |
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| Types of auctions | |
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| Dutch auction--discrete bids and known valuations | |
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| Dutch auction--continuous bids and known valuations | |
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| English auction--known valuations | |
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| Auctions with unknown valuations | |
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| Auctions of two or more objects | |
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| Horse market auctions | |
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| Further reading | |
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| Problems | |
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| Gaming | |
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| What is gaming? | |
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| Why do gaming? | |
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| Running a gaming experiment | |
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| Further reading | |
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| Solutions to problems | |
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| References | |
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| Index | |
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| Name index | |