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This paper aims to provide a representation theorem for consumption stream in the simplex in continuous time, by using the weaker axiom of ”Agree with,” the strong axiom of ”Preferential Independence”, and the axioms of ”Separability” and ”Measurability” on the simplex,...
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This work aims to provide a representation theorem for consumption in simplex in continuous time by using a weaker axiom of ’Agree with’, a strong axiom of ’Preferential Independence’,[10, 9], and axioms of ’Separability’ and ’Measurability’ on Simplex provided by Qin and...
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of utility and risk. This is a rather general pattern. The modern portfolio theory of Markowitz (1959) and the capital …Utility and risk are two often competing measurements on the investment success. We show that efficient trade … market pricing model Sharpe (1964), are special cases of our general framework when the risk measure is taken to be the …
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