Chan, Chun Him = 論競爭環境中出現的協作現象 / 陳俊謙. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 139-141). / Abstracts in English and Chinese. / Chan, Chun Him = Lun jing zheng huan jing zhong chu xian de xie zuo xian xiang / Chen Junqian. / Title / Abstract --- p.i / Acknowledgements --- p.v / Table of Contents --- p.vii / Chapter 1 --- Prologue --- p.1 / Chapter 2 --- Prisoners' Dilemma and Snowdrift Game --- p.6 / Chapter 2.1 --- Introduction --- p.6 / Chapter 2.2 --- Formulation --- p.7 / Chapter 2.3 --- The Prisoners，Dilemma (PD) --- p.8 / Chapter 2.4 --- The Snowdrift Game (SG) --- p.9 / Chapter 2.5 --- Parameterizing Payoffs in PD --- p.10 / Chapter 2.5.1 --- The Temptation Reward Punishment Sucker System (TRPS system) --- p.10 / Chapter 2.5.2 --- "Our Expanded 2-parameter System (r, s system)" --- p.10 / Chapter 2.5.3 --- Our 1-parameter System (r system) --- p.11 / Chapter 2.5.4 --- The Benefit and Cost System (BC system) --- p.11 / Chapter 2.6 --- Parameterizing Payoffs in SG --- p.12 / Chapter 2.6.1 --- A Common 1-parameter System (rh system) --- p.13 / Chapter 2.6.2 --- Our 1-parameter System (r system) --- p.13 / Chapter 3 --- Iterated Prisoners' Dilemma (IPD) --- p.15 / Chapter 3.1 --- Tragedy of One-shot PD Game --- p.15 / Chapter 3.2 --- The First Cooperation --- p.16 / Chapter 3.2.1 --- Repeated PD Game --- p.16 / Chapter 3.2.2 --- Axelrod´ةs Tournament and Strategy “Tit-for-Tat´ح (TFT) --- p.17 / Chapter 3.3 --- The Second Cooperation --- p.18 / Chapter 3.3.1 --- Nowak and Sigmund Evolutionary Experiment --- p.18 / Chapter 3.3.2 --- Stochastic Reactive Strategies (SRSs) and Evolutionary Infinite IPD --- p.19 / Chapter 3.3.3 --- Experimental Setup --- p.20 / Chapter 3.3.4 --- Experimental Results --- p.21 / Chapter 3.3.5 --- Conclusion: TFT as a Pivot for Cooperation --- p.22 / Chapter 4 --- Evolutionary IPD with Strategy Lattices --- p.23 / Chapter 4.1 --- Sensitivity to Initial Conditions and Numerical Accuracy in IPD --- p.24 / Chapter 4.2 --- Modifications and Justifications --- p.24 / Chapter 4.3 --- Simulation Results --- p.26 / Chapter 4.3.1 --- Strategy Frequencies Xi(t) versus Time --- p.27 / Chapter 4.3.2 --- "Mean Final State in the Whole r, s Space" --- p.32 / Chapter 4.3.3 --- Time Evolution of (p) and (q) --- p.38 / Chapter 4.3.4 --- Mean Final State of a Strategy Lattice with Inclined Frequencies --- p.42 / Chapter 4.3.5 --- Conclusion --- p.50 / Chapter 5 --- Egoistic Exploiters Induced Global Generosity in Evolutionary IPD --- p.52 / Chapter 5.1 --- Introduction --- p.52 / Chapter 5.2 --- Modifications and Justifications --- p.52 / Chapter 5.3 --- "The Three Initial Conditions: Cases TO, T1 and T2" --- p.53 / Chapter 5.4 --- Simulation Results --- p.54 / Chapter 5.4.1 --- Distribution of the Final Dominant Strategies --- p.54 / Chapter 5.4.2 --- Case TO (100 Random Strategies) --- p.56 / Chapter 5.4.3 --- Case T1 (99 Random Strategies and a TFT-like Strategy) --- p.58 / Chapter 5.4.4 --- Case T2 (98 Random Strategies and both a TFT-like and an AllD-like Strategies) --- p.58 / Chapter 5.4.5 --- Comparing the Three Cases --- p.61 / Chapter 5.4.6 --- Discussion --- p.64 / Chapter 5.5 --- Analytic Manipulations for Small r Region --- p.65 / Chapter 5.5.1 --- Values of (pmps) and (qmps) for Case T2 --- p.65 / Chapter 5.5.2 --- Values of {pmps) and {qmps) for Case TO and T1 --- p.68 / Chapter 5.6 --- Conclusion --- p.71 / Chapter 6 --- The Basics of Networks --- p.72 / Chapter 6.1 --- Fully-connected Networks and Well-mixed Networks --- p.72 / Chapter 6.2 --- Simple Hypercubic Lattices --- p.73 / Chapter 6.3 --- Barabasi-Albert (BA) Scale-free Growing Networks --- p.74 / Chapter 7 --- Proposing the N-person Snowdrift Game (NSG) --- p.76 / Chapter 7.1 --- Introduction --- p.76 / Chapter 7.2 --- Limitations of 2-person Games on Networks --- p.76 / Chapter 7.3 --- The Existing N-person Games --- p.77 / Chapter 7.3.1 --- The Public Good Game (PGG) --- p.78 / Chapter 7.3.2 --- The N-person Battle of Sexes Games (NBOS) --- p.78 / Chapter 7.4 --- The NSG Scenario and Payoffs --- p.79 / Chapter 7.5 --- Everyday Examples of NSG --- p.80 / Chapter 7.6 --- Preview of Studies in Evolutionary NSG --- p.82 / Chapter 8 --- Evolutionary NSG in Well-mixed Populations --- p.84 / Chapter 8.1 --- The Method of Replicator Dynamics --- p.84 / Chapter 8.2 --- The Simulation Algorithm --- p.90 / Chapter 8.3 --- The Simulated Equilibrium Contributor Fraction x*(r) --- p.91 / Chapter 8.4 --- Analytic Manipulations on the Algorithm --- p.92 / Chapter 8.4.1 --- Conversion Probabilities and Equilibrium Conditions --- p.92 / Chapter 8.4.2 --- Discussions --- p.94 / Chapter 8.5 --- Analytic Treatments on the Time Evolution of the Contribution Level x(t) --- p.96 / Chapter 8.5.1 --- Discrete Time Equation --- p.97 / Chapter 8.5.2 --- Continuous Approximations --- p.97 / Chapter 8.5.3 --- Analytical Solutions of N=2 and N=S --- p.98 / Chapter 8.6 --- Conclusion --- p.100 / Chapter 9 --- Evolutionary NSG in Simple Hypercubic Lattices --- p.101 / Chapter 9.1 --- Comparison between Well-mixed and Lattice Populations --- p.101 / Chapter 9.2 --- Simulation Parameters --- p.103 / Chapter 9.3 --- Simulation Results for ID Lattices --- p.103 / Chapter 9.4 --- Analytic Theory for ID Lattices by Analyzing on the Local Configurations --- p.105 / Chapter 9.4.1 --- The Absence of Connected Contributors --- p.105 / Chapter 9.4.2 --- Theory for ID k=2 Chain Lattice --- p.106 / Chapter 9.4.3 --- Theory for ID k=4 Chain Lattice --- p.109 / Chapter 9.5 --- Simulation Results for 2D Lattices --- p.112 / Chapter 9.6 --- Analytic Theory for 2D k=4 Square Lattice --- p.115 / Chapter 9.7 --- Simulation Results for 3D Cubic Lattice --- p.120 / Chapter 9.8 --- Conjectures for Approximate Solutions in High-Dimensional Hy- percubic Lattices --- p.120 / Chapter 9.9 --- Extracting the Relation Neff=2k+1 --- p.122 / Chapter 9.10 --- Conclusion --- p.123 / Chapter A --- Evolutionary NSG in Barabasi-Albert Networks --- p.125 / Chapter A.l --- The New Elements in BA Networks --- p.126 / Chapter A.2 --- The Two Implementations - Model A and Model B --- p.126 / Chapter A.3 --- Results in Model A (Varying-N) --- p.127 / Chapter A.4 --- Results in Model B (Fixed-N) --- p.133 / Chapter A.5 --- Conclusion --- p.135 / Chapter B --- Supplementary Equations for Chapter 9 --- p.136 / Chapter B.l --- Equations for ID k=4 Lattice --- p.136 / Chapter B.2 --- Equations for 2D k=4 Lattice --- p.137 / Bibliography --- p.139
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326496 |
| Date | January 2008 |
| Contributors | Chan, Chun Him., Chinese University of Hong Kong Graduate School. Division of Physics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, xvii, 141 leaves : col. ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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