The stability concept of evolutionary game theory: a dynamic approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
c 1992
|
| Series: | Lecture notes in biomathematics
94 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 123 - 126 |
| Physical Description: | VIII, 128 S. graph. Darst. |
| ISBN: | 354055419X 038755419X |
Staff View
MARC
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Record in the Search Index
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| adam_text |
CONTENTS
1. INTRODUCTION 1
2. FREQUENCY-DEPENDENT EVOLUTION IN A SINGLE
HAPLOID SPECIES
1. PURE AND MIXED STRATEGIES 4
2. MONOMORPHIC ESS'S AND STABILITY 5
3. THE HAWK-DOVE GAME
1
4. THE STATIC CHARACTERIZATION OF AN ESS 9
(A) BIOLOGICAL CONSIDERATIONS 9
(B) MATHEMATICAL CONSIDERATIONS 11
5. STABILITY FOR THE CONTINUOUS DYNAMIC 14
6. THE STRONG STABILITY CONCEPT AND THE DYNAMIC
CHARACTERIZATION OF AN ESS 16
7. STABILITY FOR THE DISCRETE DYNAMIC 18
8. ALTERNATIVE PROOF OF THEOREM 2.5.2 20
(A) THE CENTRE MANIFOLD FOR THE PURE-STRATEGY DYNAMIC 23
(B) THE CENTRE MANIFOLD FOR THE MIXED-STRATEGY DYNAMIC 24
9. NONLINEAR FITNESS FUNCTIONS 25
(A) THE SEX-RATIO GAME 26
(B) ESS'S AND STABILITY 27
10. APPENDIX ON CENTRE MANIFOLD THEORY 29
3. FREQUENCY-DEPENDENT EVOLUTION IN A TWO-SPECIES
HAPLOID SYSTEM
1. FREQUENCY-DEPENDENT FITNESS 31
2. MONOMORPHIC ESS'S AND STABILITY 32
3. EXAMPLES: BATTLE-OF-THE-SEXES AND EDGEWORTH MARKET GAMES 37
(A) BATTLE-OF-THE SEXES 37
(B) EDGEWORTH MARKET GAMES 41
4. THE STATIC CHARACTERIZATION OF A TWO-SPECIES ESS 45
5. STRONG STABILITY FOR THE CONTINUOUS DYNAMIC 48
6. MULTI-SPECIES FREQUENCY-DEPENDENT EVOLUTION 51
4. FREQUENCY-DEPENDENT EVOLUTION IN A RANDOMLY-MATING
DIPLOID SPECIES
1. NATURAL SELECTION AS AN EVOLUTIONARY GAME 57
(A) THE FREQUENCY-DEPENDENT HAPLOID PERSPECTIVE 57
(B) THE FREQUENCY-INDEPENDENT DIPLOID PERSPECTIVE 61
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/920657990
VIII
2. SINGLE-LOCUS MODELS
B4
3. TWO-PHENOTYPE, FREQUENCY-DEPENDENT EVOLUTION AT A
SINGLE LOCUS 66
4. MULTI-PHENOTYPE, FREQUENCY-DEPENDENT EVOLUTION AT A
SINGLE LOCUS 69
(A) EXAMPLES
70
(B) LINEARIZATION 72
5. A TWO-LOCUS, TWO-ALLELE, TWO-PHENOTYPE EXAMPLE 74
5. FREQUENCY- AND DENSITY-DEPENDENT EVOLUTION IN A
HAPLOID SPECIES
1. FREQUENCY- AND DENSITY-DEPENDENT FITNESS
(AND THE HAPLOID DYNAMIC) 77
2. MONOMORPHIC DDESS'S AND STABILITY 78
3. THE DENSITY-DEPENDENT HAWK-DOVE GAME 82
(A) NON-AGGRESSIVE BEHAVIOR ENHANCED AT HIGH DENSITY 83
(B) AGGRESSIVE BEHAVIOR ENHANCED AT HIGH DENSITY 85
4. THE DDESS CONDITIONS AND STRONG STABILITY 86
5. DENSITY-DEPENDENT NATURAL SELECTION AS A HAPLOID
EVOLUTIONARY GAME 89
6. EVOLUTIONARY STABILITY IN MULTI-SPECIES
POPULATION-DYNAMIC MODELS 92
AN INTERMISSION 94
6. EVOLUTIONARILY STABLE SETS AND CONTESTANT INFORMATION
1. A MIXED-STRATEGY HAWK-DOVE GAME 95
2. THE STATIC CHARACTERIZATION OF AN ES SET 97
3. THE DYNAMIC CHARACTERIZATION OF AN ES SET 100
4. THE HAWK-DOVE GAME WITH VARYING RESOURCE 102
5. ES SETS FOR GAMES IN EXTENSIVE FORM 104
6. THE OWNER-INTRUDER GAME 107
(A) A SINGLE-SPECIES EXTENSIVE-GAME PERSPECTIVE 107
(B) THE TWO-SPECIES PERSPECTIVE 110
7. MULTI-STAGE GAMES 112
(A) A TWO-TRIAL GAME 112
(B) THE ITERATED PRISONER'S DILEMMA GAME 118
7. REFERENCES 123
8. INDEX
127 |
| any_adam_object | 1 |
| author | Cressman, Ross |
| author_facet | Cressman, Ross |
| author_role | aut |
| author_sort | Cressman, Ross |
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| bvnumber | BV025860532 |
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| ctrlnum | (OCoLC)246714514 (DE-599)BVBBV025860532 |
| dewey-full | 575.001519320 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 575 - Specific parts of & systems in plants |
| dewey-raw | 575.0015193 20 |
| dewey-search | 575.0015193 20 |
| dewey-sort | 3575.0015193 220 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Mathematik |
| format | Book |
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| indexdate | 2024-10-09T12:02:08Z |
| institution | BVB |
| isbn | 354055419X 038755419X |
| language | English |
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| physical | VIII, 128 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in biomathematics |
| series2 | Lecture notes in biomathematics |
| spelling | Cressman, Ross Verfasser aut The stability concept of evolutionary game theory a dynamic approach Ross Cressman Berlin [u.a.] Springer c 1992 VIII, 128 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in biomathematics 94 Literaturverz. S. 123 - 126 Evolutionsstabile Strategie (DE-588)4209817-8 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s Evolutionsstabile Strategie (DE-588)4209817-8 s DE-604 Lecture notes in biomathematics 94 (DE-604)BV005875746 94 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019108253&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cressman, Ross The stability concept of evolutionary game theory a dynamic approach Lecture notes in biomathematics Evolutionsstabile Strategie (DE-588)4209817-8 gnd Spieltheorie (DE-588)4056243-8 gnd |
| subject_GND | (DE-588)4209817-8 (DE-588)4056243-8 |
| title | The stability concept of evolutionary game theory a dynamic approach |
| title_auth | The stability concept of evolutionary game theory a dynamic approach |
| title_exact_search | The stability concept of evolutionary game theory a dynamic approach |
| title_full | The stability concept of evolutionary game theory a dynamic approach Ross Cressman |
| title_fullStr | The stability concept of evolutionary game theory a dynamic approach Ross Cressman |
| title_full_unstemmed | The stability concept of evolutionary game theory a dynamic approach Ross Cressman |
| title_short | The stability concept of evolutionary game theory |
| title_sort | the stability concept of evolutionary game theory a dynamic approach |
| title_sub | a dynamic approach |
| topic | Evolutionsstabile Strategie (DE-588)4209817-8 gnd Spieltheorie (DE-588)4056243-8 gnd |
| topic_facet | Evolutionsstabile Strategie Spieltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019108253&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005875746 |
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