Game Theory Decisions, Interaction and Evolution

Name: Game Theory Decisions, Interaction and Evolution
Price: 37.19 USD
Availability: InStock
ISBN: 9781846284236

ISBN-10: 1846284236

ISBN-13: 9781846284236

Edition: 2007

Authors: James N. Webb

List price: $37.99

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Description:

This book is an informal introduction to game theory intended as a first course for undergraduate students of mathematics. Uniquely, it covers optimal decisions, classical games and evolutionary game theory in one volume. Optimal decisions are treated as a special case of game theory in which the game is played against nature an opponent who is indifferent about the outcome. For evolutionary game theory, a subject which is often presented as a minor adjustment to the classical theory, this book aims to provide a better understanding by emphasising the differences between the two types of game theory, in particular the population context in which evolutionary games are embedded.In contrast…

Book details

List price: $37.99
Copyright year: 2007
Publisher: Springer London, Limited
Publication date: 12/1/2006
Binding: Paperback
Pages: 242
Size: 7.01" wide x 9.25" long x 0.18" tall
Weight: 1.122
Language: English




Decisions



Simple Decision Models



Optimisation



Making Decisions



Modelling Rational Behaviour



Modelling Natural Selection



Optimal Behaviour



Simple Decision Processes



Decision Trees



Strategic Behaviour



Randomising Strategies



Optimal Strategies



Markov Decision Processes



State-dependent Decision Processes



Markov Decision Processes



Stochastic Markov Decision Processes



Optimal Strategies for Finite Processes



Infinite-horizon Markov Decision Processes



Optimal Strategies for Infinite Processes



Policy Improvement



Interaction



Static Games



Interactive Decision Problems



Describing Static Games



Solving Games Using Dominance



Nash Equilibria



Existence of Nash Equilibria



The Problem of Multiple Equilibria



Classification of Games



Games with n-players



Finite Dynamic Games



Game Trees



Nash Equilibria



Information Sets



Behavioural Strategies



Subgame Perfection



Nash Equilibrium Refinements



Games with Continuous Strategy Sets



Infinite Strategy Sets



The Cournot Duopoly Model



The Stackelberg Duopoly Model



War of Attrition



Infinite Dynamic Games



Repeated Games



The Iterated Prisoners' Dilemma



Subgame Perfection



Folk Theorems



Stochastic Games



Evolution



Population Games



Evolutionary Game Theory



Evolutionarily Stable Strategies



Games Against the Field



Pairwise Contest Games



ESSs and Nash Equilibria



Asymmetric Pairwise Contests



Existence of ESSs



Replicator Dynamics



Evolutionary Dynamics



Two-strategy Pairwise Contests



Linearisation and Asymptotic Stability



Games with More Than Two Strategies



Equilibria and Stability



Appendixes



Constrained Optimisation



Dynamical Systems


Solutions


Further Reading


Bibliography


Index