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Stochastic stability, time-dependent mutations, and empirical distribution.

Cheung, Man Wah. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 50-53). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Stochastic Stability --- p.2 / Chapter 1.2 --- Some Examples --- p.3 / Chapter 1.3 --- Our Main Focus --- p.5 / Chapter 1.4 --- Thesis Outline --- p.6 / Chapter 2 --- KMR's Approach and its Variations --- p.7 / Chapter 2.1 --- KMR's Approach --- p.7 / Chapter 2.2 --- Variations --- p.12 / Chapter 2.2.1 --- Bergin and Lipman (1996) --- p.12 / Chapter 2.2.2 --- Anderlini and Ianni (1996) --- p.12 / Chapter 2.2.3 --- Robson and Vega-Redondo (1996) --- p.13 / Chapter 2.2.4 --- Robles (1998) and Pak (2008) --- p.13 / Chapter 3 --- Mathematical Reviews on Nonstationary Markov Chain --- p.15 / Chapter 3.1 --- Ergodic Coefficient --- p.15 / Chapter 3.2 --- Weak Ergodicity --- p.16 / Chapter 3.3 --- Strong Ergodicity --- p.18 / Chapter 4 --- Existing Works on Time-Dependent Mutation Rates --- p.20 / Chapter 4.1 --- Model and Definitions --- p.20 / Chapter 4.2 --- Sufficient Condition for Weak Ergodicity --- p.23 / Chapter 4.3 --- Sufficient Condition for Strong Ergodicity --- p.24 / Chapter 5 --- Time-Dependent Mutations and Empirical Distribution --- p.26 / Chapter 5.1 --- Model --- p.28 / Chapter 5.2 --- Convergence of Empirical Distribution --- p.30 / Chapter 5.3 --- Proofs of Claims --- p.35 / Chapter 5.3.1 --- Proofs of Claims l(a)-(d) --- p.36 / Chapter 5.3.2 --- Proof of Claim 2 --- p.39 / Chapter 6 --- Open Problems --- p.42 / Chapter 6.1 --- Numerical Example and Simulations --- p.43 / Chapter 6.2 --- Numerical Results --- p.44 / Chapter 6.3 --- Other Discussions --- p.47 / Chapter 7 --- Conclusion --- p.48 / Bibliography --- p.50

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327225
Date January 2010
ContributorsCheung, Man Wah., Chinese University of Hong Kong Graduate School. Division of Economics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, vi, 53 leaves : ill. ; 30 cm.
RightsUse 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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