Chan King Pak Keven = 競爭性系統個體模型中的策略動態、決策及整體表現 / 陳景柏. / Thesis submitted in: August 2005. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves vii-viii (4th gp.)). / Text in English; abstracts in English and Chinese. / Chan King Pak Keven = Jing zheng xing xi tong ge ti mo xing zhong de ce lüe dong tai, jue ce ji zheng ti biao xian / Chen Jingbo. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Review on the Minority Game --- p.5 / Chapter 2.1 --- Background --- p.5 / Chapter 2.2 --- Model of MG --- p.6 / Chapter 2.3 --- Features --- p.7 / Chapter 2.3.1 --- Phase Transition --- p.7 / Chapter 2.3.2 --- Inefficient and Efficient Phase --- p.8 / Chapter 2.3.3 --- Anti-persistence --- p.9 / Chapter 2.3.4 --- Data Collapse --- p.10 / Chapter 2.4 --- Existing Theories --- p.10 / Chapter 2.4.1 --- Reduced Strategy Space --- p.11 / Chapter 2.4.2 --- The Crowd-Anticrowd Theory --- p.12 / Chapter 2.5 --- Summary --- p.13 / Chapter 3 --- Introduction to Strategy Ranking Theory --- p.15 / Chapter 3.1 --- Strategy Ranking Theory for Mean Success Rate --- p.15 / Chapter 3.1.1 --- Time evolution of Virtual Point Ranking --- p.15 / Chapter 3.1.2 --- Winning Probability for m = 1 --- p.17 / Chapter 3.2 --- Calculation of Mean Success Rate --- p.21 / Chapter 3.3 --- "Size Dependence of weυen(K) (""Market Impact"" Effect)" --- p.23 / Chapter 3.4 --- Size Dependence of wodd、K) (Uneven Distribution of Agents into Split Ranks) --- p.25 / Chapter 4 --- Implementation of Strategy Ranking Theory --- p.30 / Chapter 4.1 --- Feature of wodd(k) for higher m --- p.30 / Chapter 4.2 --- Derivation of wodd(k) from Strategy Ranking Theory --- p.32 / Chapter 4.3 --- Proof of Eq. (4.14) --- p.36 / Chapter 4.4 --- Discussion on wodd(k) --- p.41 / Chapter 4.4.1 --- Asymptotic Behavior of wodd(k) --- p.42 / Chapter 4.4.2 --- Finite size correction of wodd(k) --- p.43 / Chapter 5 --- Applications of Strategy Ranking Theory --- p.46 / Chapter 5.1 --- Probability Density Function of Agents Making a Particular Choice --- p.46 / Chapter 5.1.1 --- Odd time steps： k = 1 --- p.47 / Chapter 5.1.2 --- Odd time steps： k = 2 --- p.48 / Chapter 5.1.3 --- "Rodd,K" --- p.49 / Chapter 5.1.4 --- Even time steps --- p.51 / Chapter 5.1.5 --- Overall Attendance Distribution --- p.51 / Chapter 5.2 --- The Variance of the Attendance --- p.52 / Chapter 5.2.1 --- Asymptotic behavior of the variance --- p.54 / Chapter 5.3 --- Anti-persistent Nature of Efficient Phase of MG --- p.55 / Chapter 5.4 --- Summary --- p.58 / Chapter 6 --- Strategy Ranking Theory and Crowd-Anticrowd Theory --- p.59 / Chapter 6.1 --- Introduction --- p.59 / Chapter 6.1.1 --- Strategy Ranking Theory --- p.60 / Chapter 6.1.2 --- Crowd-Anticrowd Theory --- p.61 / Chapter 6.2 --- Crowd-Anticrowd Theory with Ranking Patterns Characterized by k --- p.63 / Chapter 6.3 --- Variance: Crowd-Anticrowd Theory --- p.65 / Chapter 6.3.1 --- m = 1 --- p.65 / Chapter 6.3.2 --- m = 2 --- p.66 / Chapter 6.4 --- Variance： Modified Crowd-Anticrowd Theory for m̐ơح 1 --- p.66 / Chapter 6.4.1 --- k = 0 --- p.67 / Chapter 6.4.2 --- k = 1 --- p.67 / Chapter 6.4.3 --- k = 2 --- p.67 / Chapter 6.4.4 --- Sum over all k --- p.68 / Chapter 6.5 --- Variance: Modified Crowd-Ant icrowd Theory for m=2 --- p.68 / Chapter 6.5.1 --- k = 3 --- p.69 / Chapter 6.5.2 --- k = 4 --- p.70 / Chapter 6.5.3 --- Sum over all k --- p.71 / Chapter 6.6 --- "Strategy Ranking Theory Expressed in (Nkl-Nk,(l)" --- p.71 / Chapter 6.7 --- Summary --- p.73 / Chapter 7 --- Variance of the Attendance in MG: Data Collapse --- p.75 / Chapter 7.1 --- Previous Studies --- p.75 / Chapter 7.2 --- Attempt 1 --- p.76 / Chapter 7.2.1 --- Understanding from the Existing Theories --- p.76 / Chapter 7.2.2 --- Numerical Results --- p.79 / Chapter 7.3 --- Attempt 2 --- p.80 / Chapter 7.3.1 --- Modification Based on αc ß 1/2 --- p.81 / Chapter 7.3.2 --- Numerical Results --- p.81 / Chapter 7.4 --- Summary --- p.82 / Chapter 8 --- Minority Game in Networked Population --- p.83 / Chapter 8.1 --- Introduction --- p.83 / Chapter 8.2 --- Model --- p.84 / Chapter 8.3 --- Numerical Results --- p.85 / Chapter 8.4 --- Classification of Predictors --- p.86 / Chapter 8.4.1 --- Major Classification of Predictors - Hamming Distance D --- p.87 / Chapter 8.4.2 --- "Minor Classification of Predictors - Dynamical Ranking (k,1)" --- p.88 / Chapter 8.4.3 --- "Using the Classification (k,l, D)" --- p.89 / Chapter 8.5 --- "Winning Probability of a Predictor (wk,l,d)" --- p.89 / Chapter 8.5.1 --- "Odd Steps, k = 1" --- p.90 / Chapter 8.5.2 --- "Odd Steps, k = 2" --- p.91 / Chapter 8.6 --- Number of Predictors --- p.93 / Chapter 8.7 --- Mean Success Rate of Non-networked MG： m = 1 --- p.93 / Chapter 8.8 --- "Cluster Size of a Predictor (sk,l,D)" --- p.95 / Chapter 8.9 --- Mean Success Rate of Networked MG --- p.97 / Chapter 8.9.1 --- With wK(even)=0.5 --- p.97 / Chapter 8.9.2 --- "Modification of wK(even) Using skl,D" --- p.98 / Chapter 8.9.3 --- Modification of Using Modified wK(even) --- p.100 / Chapter 8.10 --- Variance of the Attendance in Networked MG --- p.101 / Chapter 8.11 --- Attendance Distribution --- p.103 / Chapter 8.12 --- A Network-type Independent Approach --- p.104 / Chapter 8.12.1 --- Degree Depending Success Rate --- p.104 / Chapter 8.12.2 --- Evaluating w(k) --- p.107 / Chapter 8.12.3 --- Application on Random Graph as Underlying Network --- p.108 / Chapter 8.13 --- The Position of the Minimum Variance --- p.108 / Chapter 8.14 --- Summary --- p.110 / Chapter 9 --- Conclusion --- p.111 / Bibliography --- p.115
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325528 |
| Date | January 2006 |
| Contributors | Chan, King Pak Keven., 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, xviii, 117, [1], xii leaves : 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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