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The Method of Supplementary Confluent Relations, Illustrated by a Study of Stock Prices
The Demand for Passenger Cars in the United States
On the Theory of Capital: A Rejoinder to Professor Knight
Vilfredo Pareto
On the Theory of Business-Cycle Control
The present study consists of two kinds of approach: (1) a statistical research into the chief dynamic equations describing American business cycles between 1920 and 1932 and (2) a number of more general methodological remarks on this type of research with particular attention to problems of policy. In order to simplify exposition in many points, it seemed desirable to exemplify the general thought immediately; and for this reason the two approaches are more or less mixed.
The Significance of the Characteristic Solutions of Mixed Difference and Differential Equations
On the Significance of Professor Douglas' Production Function
Money and the Theory of Assets
The Empirical Implications of Utility Analysis
IT IS MORE THAN HALF a century since the first formulations of utility analysis by Jevons, Menger, and Walras. In that time there has been much controversy for and against this concept. Although much of the discussion has not gone beyond a quasiphilosophical defense or rejection of the utility concept, it is nevertheless possible to discern clear lines of development in the literature. First, there has been a steady tendency toward the removal of moral, utilitarian, welfare connotations from the concept. Secondly, there has been a progressive movement toward the rejection of hedonistic, introspective, psychological elements. These tendencies are evidenced by the names suggested to replace utility and satisfaction-ophelimit6, desirability, wantability, etc. The question arises as to what is left when all these elements are removed. Does not the whole utility analysis become meaningless in the operational sense of modern science? A meaningless theory according to this criterion is one which has no empirical implications by which it could conceivably be refuted under ideal empirical conditions. Thus, it is meaningless to ask whether the earth really moves around the sun rather than the sun around the earth, since no hypothesis with respect to the facts of celestial behavior is implied by either of these conventions. Is the same true of utility analysis? Has it no empirical implications for price-quantity behavior? It is clear that in its early formulations it was thought to have very definite, even revolutionary, consequences for the analysis of price and value. Moreover, even today the instinct of the textbook writer is methodologically sound in his attempt to deduce the negatively sloping demand curve from the Weber-Fechner law and diminishing marginal utility; this does not alter the fact that the whole demonstration is hopelessly fallacious and illogical. That some modern formulations of the utility concept are empty, circular, and meaningless in the above sense, is hardly open to doubt.' Consider, for example, a typical view as follows. (1) People act according to a plan; (2) a plan is how people act; (3) hence, people act as