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Preface |
6 |
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Contents |
8 |
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1 Introduction |
10 |
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2 The Model and a General Existence Result |
19 |
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2.1 Preliminaries |
20 |
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2.2 Interaction, Fitness and Individual Preferences |
25 |
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2.3 Matching Process and Evolutionary Fitness |
30 |
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2.4 Stability Concept and E.cient Strategies |
33 |
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2.5 A General Existence Result for Stable Populations |
37 |
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3 Examples: Properties of the Model |
38 |
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3.1 The ‘Classic’ Prisoner’s Dilemma |
38 |
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3.2 Coordination Games |
40 |
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3.3 Rank-Dependent Expected Utility Theory |
41 |
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4 Evolutionary Extinction of Expected Utility Preferences |
44 |
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4.1 A Disfavor Result for Expected Utility Preferences |
45 |
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4.2 Potential Stable Populations |
46 |
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4.3 An Anti-Coordination Game |
48 |
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5 Evolution with More Sophisticated Types |
54 |
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5.1 The Restricted Type Space |
55 |
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5.2 Existence in the 2 × 2 Case |
60 |
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6 A Model with Two Populations |
65 |
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6.1 Two-Population Stability |
66 |
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6.2 An Outlook with Some Illustrative Examples |
69 |
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6.3 Asymmetric Contests |
78 |
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7 Conclusions |
80 |
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A Proofs for Chapter 2 |
83 |
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A.1 Proof of Proposition 2.21 |
83 |
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A.2 Proof of Theorem 2.22 |
87 |
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B Proofs for Chapter 4 |
90 |
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B.1 Proof of Theorem 4.1 |
90 |
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B.2 Proof of Theorem 4.2 |
96 |
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C Proofs for Chapter 5 |
104 |
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C.1 Proof of Proposition 5.11 |
104 |
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C.2 Proof of Theorem 5.12 |
107 |
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C.3 Proof of Lemma 5.13 |
108 |
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C.4 Proof of Lemma 5.14 |
110 |
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C.5 Proof of Lemma 5.16 |
114 |
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References |
130 |
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