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The Canonical Classical Model of Political Economy

Journal of Economic Literature 2016
Adam Smith, David Ricardo, Thomas Robert Malthus, and John Stuart Mill shared in common essentially one dynamic model of equilibrium, growth, and distribution. When the limitation of land and natural resources is added to the model of Karl Marx, he also ends up with this same canonical classical model. In its present version the model is stripped down to its minimal essentials. For brevity I employ modern mathematical tools, but only to characterize in modern terms the relations that were actually common to all these writers. The reader should of course be warned that any simple codification of the classical economists' discursive writings must be an oversimplification: in some of their passages they qualify what they have written elsewhere; in some they provide negations and contradictions. Not a few of the stereotypes about the classical writers are, to paraphrase Voltaire, myths agreedupon by later commentators-distortions that both improve and libel the originals. The relevant object of study for a modern scholar is the corpus of original texts and the commentaries on them, the latter not being genuinely of less interest than the former once we have succeeded in telling them apart. To the fascinating question of whether classical political economy does, or can be made to, offer an alternative paradigm --in the sense of Thomas Kuhn [11, 1962]-to modern mainstream economics, the present investigation provides an instructive answer. So to speak, within every classical economist there is to be discerned a modern economist trying to be born. A Ricardo or Mill did not so much replace supply and demand by quite different mechanisms but rather sought to be able to say something significant and limiting about their properties, quite in the same way that we moderns endeavor to do. I describe and analyze here the basic classical model in its essential form.

The Marginal Utility of Income Does Not Increase: Borrowing, Lending, and Friedman-Savage Gambles

American Economic Review 2016
There has been a great deal of discussion about whether the marginal utility of income rises with income. Most notably, Milton Friedman and Leonard J. Savage argued in their classic paper that the willingness to gamble implies that the marginal utility of income is rising over a range. The discussions of rising marginal utility and of Friedman-Savage gambles have proceeded independently of the literature on time preference, although the issues are in fact related logically. Drawing on this logical relationship we shall show 1) that at least when intertemporal utility is separable, the stable levels of consumption that are usually observed imply that the marginal utility of income decreases as income rises. 2) Even if the marginal utility of income does increase, Friedman-Savage gambles normally will not maximize utility; saving and dissaving can attain the levels of consumption which generate the most utility per dollar of income at a lower cost than gambles unless imperfections in the capital market are severe. 3) Even when the utility function is not temporally separable, repeated gambling cannot be a rational way of dealing with a rising marginal utility of income. We therefore conclude that observed gambling is seldom if ever explained by the logic set out in Friedman and Savage's seminal paper. In view particularly of the stability of consumption levels and the lack of FriedmanSavage gambles, we conclude that marginal utility of income does not rise with income. I. A Conceptual Framework