Summary.
When the price of an input factor to a production process increases, then the optimal output level declines and the input is substituted by other factors. Marshall's rule is a formula that determines the own-price elasticity for one factor as a weighted sum of the elasticities of output market demand and factor substitution. This note offers a proof for Marshall's rule that is significantly shorter and somewhat more intuitive than existing derivations.
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Received: February 19, 2001; revised version: April 3, 2002
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ID="*" I thank Charalambos Aliprantis, John Moore, Patrick Schmitz, and the anonymous referee for helpful suggestions. Support by the German Academic Exchange Service is gratefully acknowledged.
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Ewerhart, C. A short and intuitive proof of Marshall's Rule. Econ Theory 22, 415–418 (2003). https://doi.org/10.1007/s00199-002-0291-x
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DOI: https://doi.org/10.1007/s00199-002-0291-x