Evolutionary game theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, Mass. [u.a.]
MIT Press
1997
|
| Edition: | 1. MIT Press paperback ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 265 S. graph. Darst. |
| ISBN: | 9780262231817 9780262731218 0262731215 0262231816 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Foreword by Ken
Binmore
ix
Introduction
xiii
Acknowledgments
xvii
Mathematical Notation
xix
Elements of Noncooperative Game Theory
1
1.1
Strategies and Payoff Functions
1
1.2
Dominance Relations and Best Replies
10
1.3
Nash Equilibrium
14
1.4
Refinements of Nash Equilibrium
20
1.5
Symmetric Two-Player Games
25
Evolutionary Stability Criteria
33
2.1
Evolutionarily Stable Strategies
35
2.2
Characterizations of ESS
42
2.3
Weaker Evolutionary Stability Criteria
46
2.4
Setwise Evolutionary Stability Criteria
51
2.5
Social Efficiency in Doubly Symmetric Games
55
2.6
Preplay Communication
58
2.7
Role-Conditioned Behaviors
64
The Replicator Dynamics
69
3.1
Preliminaries
71
3.2
Dominated Strategies
79
3.3
Nash Equilibrium Strategies
85
3.4
Perfect Equilibrium Strategies
93
3.5
Evolutionarily and Neutrally Stable Strategies and Sets
95
3.6
Doubly Symmetric Games
109
3.7
Pure-Strategy Subsets Closed under Better Replies
114
3.8
Appendix
119
Other Selection Dynamics
121
4.1
Discrete-Time Versions of the Replicator Dynamics
122
4.2
The Replicator Dynamics in Cheap-Talk Games
129
4.3
General Selection Dynamics
139
4.4
Replication by Imitation
152
Contents
Multipopulation Models
163
5.1
Evolutionary Stability Criteria
165
5.2
The Standard and Adjusted
η
-Population Replicator
Dynamics
171
5.3
Replication by Imitation
186
5.4
Replication by Contamination
191
5.5
Classes of Selection Dynamics
193
5.6
Implications of Evolutionary Dynamics for
Noncooperative Solution Concepts
202
5.7
Robust Criteria for Evolutionary Dynamic Stability
214
5.8
Appendix
225
Elements
of the Theory of Ordinary Differential Equations
229
6.1
Differential Equations and Vector Fields
230
6.2
The Induced Solution Mapping
236
6.3
Invariance
and Stationarity
240
6.4
Stability Concepts
243
6.5
Lyapunov s Direct Method
245
6.6
Liouville s Formula
249
Bibliography
255
Index
261
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| illustrated | Illustrated |
| indexdate | 2024-07-09T20:07:41Z |
| institution | BVB |
| isbn | 9780262231817 9780262731218 0262731215 0262231816 |
| language | English |
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| physical | XV, 265 S. graph. Darst. |
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| spelling | Weibull, Jörgen W. 1948- Verfasser (DE-588)170051862 aut Evolutionary game theory Jörgen W. Weibull 1. MIT Press paperback ed. Cambridge, Mass. [u.a.] MIT Press 1997 XV, 265 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Evolution Mathematical models Game theory Spieltheorie (DE-588)4056243-8 gnd rswk-swf Evolution (DE-588)4071050-6 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s DE-604 Evolution (DE-588)4071050-6 s DE-188 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013180062&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weibull, Jörgen W. 1948- Evolutionary game theory Mathematisches Modell Evolution Mathematical models Game theory Spieltheorie (DE-588)4056243-8 gnd Evolution (DE-588)4071050-6 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4071050-6 |
| title | Evolutionary game theory |
| title_auth | Evolutionary game theory |
| title_exact_search | Evolutionary game theory |
| title_full | Evolutionary game theory Jörgen W. Weibull |
| title_fullStr | Evolutionary game theory Jörgen W. Weibull |
| title_full_unstemmed | Evolutionary game theory Jörgen W. Weibull |
| title_short | Evolutionary game theory |
| title_sort | evolutionary game theory |
| topic | Mathematisches Modell Evolution Mathematical models Game theory Spieltheorie (DE-588)4056243-8 gnd Evolution (DE-588)4071050-6 gnd |
| topic_facet | Mathematisches Modell Evolution Mathematical models Game theory Spieltheorie Evolution |
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