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Multi-period cooperative investment game with risk.

Zhou, Ying. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 89-91). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Background --- p.1 / Chapter 1.2 --- Aims and objectives --- p.2 / Chapter 1.3 --- Outline of the thesis --- p.3 / Chapter 2 --- Literature Review --- p.6 / Chapter 2.1 --- Portfolio Optimization Problems --- p.6 / Chapter 2.2 --- Cooperative Games and Cooperative Investment Models --- p.8 / Chapter 2.2.1 --- Linear Production Games And Basic Concepts of Co- operative Game Theory --- p.9 / Chapter 2.2.2 --- Investment Models Using Linear Production Games --- p.12 / Chapter 3 --- Multi-period Cooperative Investment Games: Basic Model --- p.15 / Chapter 3.1 --- Cooperative Investment Game under Deterministic Case --- p.16 / Chapter 3.2 --- Cooperative Investment Game with Stochastic Return --- p.18 / Chapter 3.2.1 --- Basic Assumptions --- p.18 / Chapter 3.2.2 --- Choose the Proper Risk Measure --- p.20 / Chapter 3.2.3 --- One Period Case --- p.21 / Chapter 3.2.4 --- Multi-Period Case --- p.23 / Chapter 4 --- The Two-Period Investment Game under L∞ Risk Measure --- p.26 / Chapter 4.1 --- The Two Period Model --- p.26 / Chapter 4.2 --- The Algorithm --- p.35 / Chapter 4.3 --- Optimal Solution of the Dual --- p.41 / Chapter 5 --- Primal Solution and Stability of the Core under Two-Period Case --- p.43 / Chapter 5.1 --- Direct Results --- p.44 / Chapter 5.2 --- Find the Optimal Solutions of the Primal Problem --- p.46 / Chapter 5.3 --- Relationship between A and the Core --- p.53 / Chapter 5.3.1 --- Tracing out the efficient frontier --- p.54 / Chapter 6 --- Multi-Period Case --- p.63 / Chapter 6.1 --- Common Risk Price and the Negotiation Process with Concave Risk Utility --- p.64 / Chapter 6.1.1 --- Existence of Common Risk Price and Core --- p.65 / Chapter 6.1.2 --- Negotiation Process --- p.68 / Chapter 6.2 --- Modified Simplex Method --- p.71 / Chapter 7 --- Other Risk Measures --- p.76 / Chapter 7.1 --- The Downside Risk Measure --- p.76 / Chapter 7.1.1 --- Discrete (Finite Scenario) Distributions --- p.78 / Chapter 7.1.2 --- General Distributions --- p.81 / Chapter 7.2 --- Coherent Risk Measure and CVaR --- p.83 / Chapter 8 --- Conclusion and Future Work --- p.87

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326545
Date January 2008
ContributorsZhou, Ying., Chinese University of Hong Kong Graduate School. Division of Systems Engineering and Engineering Management.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, vii, 91 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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