Mathematical models of social evolution:
an introduction to formal models of social evolution. We target readers who have modest training in math. This means we actually show you the steps needed to derive well-known results, rather than taunting the reader with "it is easy to show...
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chicago
Univ. of Chicago Press
2007
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | an introduction to formal models of social evolution. We target readers who have modest training in math. This means we actually show you the steps needed to derive well-known results, rather than taunting the reader with "it is easy to show... |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XIII, 414 S. graph. Darst. |
| ISBN: | 9780226558271 0226558274 9780226558264 0226558266 |
Staff View
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Record in the Search Index
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| adam_text | Mathematical Models of Social Evolution:
A Guide for the Perplexed
Richard McElreath and Robert Boyd
The University of Chicago Press Chicago and London
Contents
Preface ix
1 Theoretician s Laboratory 1
1 1 The structure of evolutionary theory 3
1 2 The utility of simple models 4
1 3 Why not just simulate? 8
14A model of viability selection 11
1 5 Determining long-term consequences 16
1 6 Nongenetic replication 27
2 Animal Conflict 37
2 1 The Hawk-Dove game 38
2 2 Retaliation 46
2 3 Continuous stable strategies 52
2 4 Ownership, an asymmetry 55
2 5 Resource holding power 58
2 6 Sequential play 60
3 Altruism amp; Inclusive Fitness 71
3 1 The prisoner s dilemma 72
3 2 Positive assortment 76
3 3 Common descent and inclusive
fitness 78
3 4 Rediscovering Hamilton s rule 82
3 5 Justifying Hamilton s rule 97
3 6 Using Hamilton s rule 99
vi CONTENTS
4 Reciprocity 123
4 1 The Axelrod-Hamilton model 124
4 2 Mutants and mistakes 132
4 3 Partner choice 145
4 4 Indirect reciprocity 150
4 5 Reciprocity and collective action 156
5 Animal Communication 173
5 1 Costly signaling theory 174
5 2 Cheap, honest signals 192
5 3 Signaling and altruism 201
5 4 Social learning 206
6 Selection among Groups 223
6 1 Three views of selection 225
6 2 Deriving the Price equation 228
6 3 Selection within and between groups 232
6 4 Dispersal 249
7 Sex Allocation 261
7 1 Fisher s theory of sex allocation 262
7 2 Reproductive value and Fisherian sex ratios 263
7 3 Using the Shaw-Mohler theorem 267
7 4 Biased sex ratios 271
7 5 Breaking the eigen barrier 281
8 Sexual Selection 295
8 1 Quantitative genetic models 298
8 2 Fisher s runaway process 305
8 3 Costly choice and sensory bias 309
8 4 Good genes and sexy sons 313
Appendixes 333
A Facts about Derivatives 333
B Facts about Random Variables 335
C Calculating Binomial Expectat ions 337
D Numerical Solution of the Kokko et al Model 343
E Solutions to Problems 349
CONTENTS vii
Bibliography 393
Index 409
|
| adam_txt |
Mathematical Models of Social Evolution:
A Guide for the Perplexed
Richard McElreath and Robert Boyd
The University of Chicago Press Chicago and London
Contents
Preface ix
1 Theoretician's Laboratory 1
1 1 The structure of evolutionary theory 3
1 2 The utility of simple models 4
1 3 Why not just simulate? 8
14A model of viability selection 11
1 5 Determining long-term consequences 16
1 6 Nongenetic replication 27
2 Animal Conflict 37
2 1 The Hawk-Dove game 38
2 2 Retaliation 46
2 3 Continuous stable strategies 52
2 4 Ownership, an asymmetry 55
2 5 Resource holding power 58
2 6 Sequential play 60
3 Altruism amp; Inclusive Fitness 71
3 1 The prisoner's dilemma 72
3 2 Positive assortment 76
3 3 Common descent and inclusive
fitness 78
3 4 Rediscovering Hamilton's rule 82
3 5 Justifying Hamilton's rule 97
3 6 Using Hamilton's rule 99
vi CONTENTS
4 Reciprocity 123
4 1 The Axelrod-Hamilton model 124
4 2 Mutants and mistakes 132
4 3 Partner choice 145
4 4 Indirect reciprocity 150
4 5 Reciprocity and collective action 156
5 Animal Communication 173
5 1 Costly signaling theory 174
5 2 Cheap, honest signals 192
5 3 Signaling and altruism 201
5 4 Social learning 206
6 Selection among Groups 223
6 1 Three views of selection 225
6 2 Deriving the Price equation 228
6 3 Selection within and between groups 232
6 4 Dispersal 249
7 Sex Allocation 261
7 1 Fisher's theory of sex allocation 262
7 2 Reproductive value and Fisherian sex ratios 263
7 3 Using the Shaw-Mohler theorem 267
7 4 Biased sex ratios 271
7 5 Breaking the eigen barrier 281
8 Sexual Selection 295
8 1 Quantitative genetic models 298
8 2 Fisher's runaway process 305
8 3 Costly choice and sensory bias 309
8 4 Good genes and sexy sons 313
Appendixes 333
A Facts about Derivatives 333
B Facts about Random Variables 335
C Calculating Binomial Expectat ions 337
D Numerical Solution of the Kokko et al Model 343
E Solutions to Problems 349
CONTENTS vii
Bibliography 393
Index 409 |
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| isbn | 9780226558271 0226558274 9780226558264 0226558266 |
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| spelling | McElreath, Richard 1973- Verfasser (DE-588)131816780 aut Mathematical models of social evolution Richard McElreath and Robert Boyd Chicago Univ. of Chicago Press 2007 XIII, 414 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke an introduction to formal models of social evolution. We target readers who have modest training in math. This means we actually show you the steps needed to derive well-known results, rather than taunting the reader with "it is easy to show... Social behavior in animals - Mathematical models Boyd, Robert 1948- Verfasser (DE-588)170683362 aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016483236&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | McElreath, Richard 1973- Boyd, Robert 1948- Mathematical models of social evolution Social behavior in animals - Mathematical models |
| title | Mathematical models of social evolution |
| title_auth | Mathematical models of social evolution |
| title_exact_search | Mathematical models of social evolution |
| title_exact_search_txtP | Mathematical models of social evolution |
| title_full | Mathematical models of social evolution Richard McElreath and Robert Boyd |
| title_fullStr | Mathematical models of social evolution Richard McElreath and Robert Boyd |
| title_full_unstemmed | Mathematical models of social evolution Richard McElreath and Robert Boyd |
| title_short | Mathematical models of social evolution |
| title_sort | mathematical models of social evolution |
| topic | Social behavior in animals - Mathematical models |
| topic_facet | Social behavior in animals - Mathematical models |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016483236&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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