Elasticity of Substitution

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Elasticity of Substitution

jsraadt
If the elasticity of substitution is 1/(1+B) and the substitution parameters of B are V and O and the ratio of marginal utilities is U^O/(G*U^W), then is 1/(1+B)=((V/O)/(U^O/(GU^W))?

V is the value of an action
O is the opportunity set of an individual
U^O is the marginal utility of opportunity
U^W is the marginal utility of the perception of V

This is not for a homework assignment, it is for my personal research.