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Question

Marginal rate of substitution of X for Y is higher than the ratio of prices. Explain the reaction of the consumer in this situation.

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Solution

A consumer strikes his equilibrium when MRSXY=PXPY.
In a situation when MRSXY>PXPY, equilibrium of the consumer is disturbed. On the assumption that PXPY remains constant (and also, income of the consumer is constant) equilibrium can be struck only when MRSXY starts falling and becomes equal to PXPY. This happens only when the consumer starts consuming more of X in place of Y. That is, he moves downward to the right along the IC. Convexity of the IC ensures that as the consumer moves downward to the right along his IC, MRSXY, tends to fall. Briefly, when MRSXY>PXPY the consumer would react to this situation by substituting X for Y so that MRSXY, declines and becomes equal to price ratio.

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