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Determine the Slutsky Equation.
Income-Substitution Effect: The Slutsky Equation
A fall into the price of a good may have two sorts of consequences: substitution effect, when one commodity will become less expensive than other and income effect when total “purchasing power” rises. A basic result of the theory of the consumer, the Slutsky equation, associates these two consequences. Even if the compensated demand function is not directly observable, see that its derivative can be simply computed from observable things, name as, the derivative of the Marshallian demand regarding price and income. Such relationship is termed as the Slutsky equation.
Consider an economy with three states. The following set of stocks is traded: x 1 =(2,2,0) x 2 =(1,0,3) x 3 =(0,2,4). The t=0 prices of these stocks are given as follow
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