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Game theory: decisions, interaction and evolution

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Bibliographische Detailangaben
1. Verfasser:	Webb, James N. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	London Springer 2007
Schriftenreihe:	Springer undergraduate mathematics series
Schlagworte:	Game theory > Textbooks Stochastisches Spiel Spieltheorie Lehrbuch Einführung - Spieltheorie
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	IX, 241 S. graph. Darst.
ISBN:	1846284236 9781846284236

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Contents Part I. Decisions 1. Simple Decision Models .................................... 3 1.1 Optimisation ............................................. 3 1.2 Making Decisions ......................................... 5 1.3 Modelling Rational Behaviour .............................. 11 1.4 Modelling Natural Selection ............................... 17 1.5 Optimal Behaviour ....................................... 21 2. Simple Decision Processes .................................. 23 2.1 Decision Trees ........................................... 23 2.2 Strategic Behaviour ....................................... 24 2.3 Randomising Strategies ................................... 27 2.4 Optimal Strategies ........................................ 31 3. Markov Decision Processes ................................. 37 3.1 State-dependent Decision Processes ......................... 37 3.2 Markov Decision Processes ................................ 39 3.3 Stochastic Markov Decision Processes ....................... 42 3.4 Optimal Strategies for Finite Processes ...................... 46 3.5 Infinite-horizon Markov Decision Processes .................. 48 3.6 Optimal Strategies for Infinite Processes ..................... 50 3.7 Policy Improvement ...................................... 54 Part II. Interaction Game Theory 4. Static Games ............................................... 61 4.1 Interactive Decision Problems .............................. 61 4.2 Describing Static Games .................................. 63 4.3 Solving Games Using Dominance ........................... 66 4.4 Nash Equilibria .......................................... 68 4.5 Existence of Nash Equilibria ............................... 76 4.6 The Problem of Multiple Equilibria ......................... 78 4.7 Classification of Games .................................... 80 4.8 Games with n-players .................................... 86 5. Finite Dynamic Games ..................................... 89 5.1 Game Trees .............................................. 89 5.2 Nash Equilibria .......................................... 91 5.3 Information Sets ......................................... 93 5.4 Behavioural Strategies .................................... 95 5.5 Subgame Perfection ....................................... 99 5.6 Nash Equilibrium Refinements .............................101 6. Games with Continuous Strategy Sets ......................107 6.1 Infinite Strategy Sets .....................................107 6.2 The Cournot Duopoly Model ..............................107 6.3 The Stackelberg Duopoly Model ............................ Ill 6.4 War of Attrition ..........................................114 7. Infinite Dynamic Games ....................................119 7.1 Repeated Games .........................................119 7.2 The Iterated Prisoners Dilemma ...........................121 7.3 Subgame Perfection .......................................125 7.4 Folk Theorems ...........................................129 7.5 Stochastic Games .........................................132 Part III. Evolution 8. Population Games ..........................................139 8.1 Evolutionary Game Theory ................................139 8.2 Evolutionarily Stable Strategies ............................140 8.3 Games Against the Field ..................................144 8.4 Pairwise Contest Games ...................................148 8.5 ESSs and Nash Equilibria .................................153 8.6 Asymmetric Pairwise Contests .............................157 8.7 Existence of ESSs ........................................160 Contents ix 9. Replicator Dynamics .......................................165 9.1 Evolutionary Dynamics ...................................165 9.2 Two-strategy Pairwise Contests ............................168 9.3 Linearisation and Asymptotic Stability ......................171 9.4 Games with More Than Two Strategies .....................174 9.5 Equilibria and Stability ...................................179 Part IV. Appendixes A. Constrained Optimisation ..................................189 B. Dynamical Systems .........................................193 Solutions .......................................................205 Further Reading ................................................235 Bibliography ....................................................237 Index ...........................................................239
adam_txt	Contents Part I. Decisions 1. Simple Decision Models . 3 1.1 Optimisation . 3 1.2 Making Decisions . 5 1.3 Modelling Rational Behaviour . 11 1.4 Modelling Natural Selection . 17 1.5 Optimal Behaviour . 21 2. Simple Decision Processes . 23 2.1 Decision Trees . 23 2.2 Strategic Behaviour . 24 2.3 Randomising Strategies . 27 2.4 Optimal Strategies . 31 3. Markov Decision Processes . 37 3.1 State-dependent Decision Processes . 37 3.2 Markov Decision Processes . 39 3.3 Stochastic Markov Decision Processes . 42 3.4 Optimal Strategies for Finite Processes . 46 3.5 Infinite-horizon Markov Decision Processes . 48 3.6 Optimal Strategies for Infinite Processes . 50 3.7 Policy Improvement . 54 Part II. Interaction Game Theory 4. Static Games . 61 4.1 Interactive Decision Problems . 61 4.2 Describing Static Games . 63 4.3 Solving Games Using Dominance . 66 4.4 Nash Equilibria . 68 4.5 Existence of Nash Equilibria . 76 4.6 The Problem of Multiple Equilibria . 78 4.7 Classification of Games . 80 4.8 Games with n-players . 86 5. Finite Dynamic Games . 89 5.1 Game Trees . 89 5.2 Nash Equilibria . 91 5.3 Information Sets . 93 5.4 Behavioural Strategies . 95 5.5 Subgame Perfection . 99 5.6 Nash Equilibrium Refinements .101 6. Games with Continuous Strategy Sets .107 6.1 Infinite Strategy Sets .107 6.2 The Cournot Duopoly Model .107 6.3 The Stackelberg Duopoly Model . Ill 6.4 War of Attrition .114 7. Infinite Dynamic Games .119 7.1 Repeated Games .119 7.2 The Iterated Prisoners' Dilemma .121 7.3 Subgame Perfection .125 7.4 Folk Theorems .129 7.5 Stochastic Games .132 Part III. Evolution 8. Population Games .139 8.1 Evolutionary Game Theory .139 8.2 Evolutionarily Stable Strategies .140 8.3 Games Against the Field .144 8.4 Pairwise Contest Games .148 8.5 ESSs and Nash Equilibria .153 8.6 Asymmetric Pairwise Contests .157 8.7 Existence of ESSs .160 Contents ix 9. Replicator Dynamics .165 9.1 Evolutionary Dynamics .165 9.2 Two-strategy Pairwise Contests .168 9.3 Linearisation and Asymptotic Stability .171 9.4 Games with More Than Two Strategies .174 9.5 Equilibria and Stability .179 Part IV. Appendixes A. Constrained Optimisation .189 B. Dynamical Systems .193 Solutions .205 Further Reading .235 Bibliography .237 Index .239
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spelling	Webb, James N. Verfasser aut Game theory decisions, interaction and evolution James N. Webb London Springer 2007 IX, 241 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer undergraduate mathematics series Game theory Textbooks Stochastisches Spiel (DE-588)4129289-3 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Einführung - Spieltheorie Spieltheorie (DE-588)4056243-8 s Stochastisches Spiel (DE-588)4129289-3 s 1\p DE-604 Erscheint auch als Online-Ausgabe 1-84628-636-0 Erscheint auch als Online-Ausgabe 978-1-84628-636-0 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014973478&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Webb, James N. Game theory decisions, interaction and evolution Game theory Textbooks Stochastisches Spiel (DE-588)4129289-3 gnd Spieltheorie (DE-588)4056243-8 gnd
subject_GND	(DE-588)4129289-3 (DE-588)4056243-8 (DE-588)4123623-3
title	Game theory decisions, interaction and evolution
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title_full	Game theory decisions, interaction and evolution James N. Webb
title_fullStr	Game theory decisions, interaction and evolution James N. Webb
title_full_unstemmed	Game theory decisions, interaction and evolution James N. Webb
title_short	Game theory
title_sort	game theory decisions interaction and evolution
title_sub	decisions, interaction and evolution
topic	Game theory Textbooks Stochastisches Spiel (DE-588)4129289-3 gnd Spieltheorie (DE-588)4056243-8 gnd
topic_facet	Game theory Textbooks Stochastisches Spiel Spieltheorie Lehrbuch Einführung - Spieltheorie
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