Comment on Professor Timberlake's Squared Rule for the Equilibrium Value for the Marginal Utility of

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William Barnett Ii

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Comment on Professor Timberlake'sSquared Rule for the EquilibriumValue for the MarginalUtility of MoneyWilliam Barnett IIn both volume I1 and in volume 22 of The Review of Austrian Econom-ics, Professor Timberlake states his "squared" rule for the equilibrium valueI of the marginal utility of money, to wit:* cwhere:MUm is the marginal utility of money,MUC is the marginal utility of the "composite good"3, andPc is the price of the composite good.4This rule is based on the neoclassical theory of the consumer. Now, evenif we ignore the insurmountable analytical problems concerning the conceptsof the marginal utility of a composite good, and accept the analysis on itsown terms (i.e., using the neoclassical analytical apparatuses of comparativestatistics/equilibrium analysis), Professor Timberlake's rule is erroneous. Thatis, even if the concepts of a composite good and its marginal utility are ac-cepted, his formulation remains a faulty application of neoclassical comparativestatics/equilibrium analysis. Thus I shall deal with it on its own terms.According to the neoclassical theory of the consumer, each consumer isassumed to maximize a utility function subject to a budget constraint. (Pro-fessor Timberlake simplifies matters somewhat by considering a "typicalindividual."5 Thus:I am grateful to two anonymous referees for helpful comments.152 • The Review of Austrian Economics, Volume 3maximize: U[XJ for i = 1, . . . n,subject to: Y; = I Pj • ...

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