A basic tool of modern econometrics is a uniform law of large numbers (LLN). It is a primary ingredient used in proving consistency and asymptotic normality of parametric and nonparametric estimators in nonlinear econometric models. Thus, in a well-known review article, Burguete, Gallant, and...

This paper analyzes a two-commodity short-run macroeconomic model under fixed and flexible exchange rates. Goods are disaggregated into imports and exports. Both are consumed domestically, but only the latter is produced at home. While imports are available in international markets at a fixed...

Many suppose that democracy is an ethos which includes, inter alia, a degree of economic equality among citizens. In contrast, we conceive of democracy as ruthless political competition between groups of citizens, organized into parties. We inquire whether such competition, which we assume to be...

The theory of Fourier transforms of generalized functions is used to extract general formulas for the tail behavior of a probability distribution from the behavior of its characteristic function in the locality of the origin. The theory is applied to develop asymptotic formula for the tails of...

We investigate a method for extracting nonlinear principal components. These principal components maximize variation subject to smoothness and orthogonality constraints; but we allow for a general class of constraints and multivariate densities, including densities without compact support and...

We make the case for the U.S. government to issue a new security with a coupon tied to the United States’ current dollar GDP. This security might pay, for example, a coupon of one-trillionth of the GDP, and we propose the name "Trill" be used to refer to this new security. This new debt...

This paper examines circumstances under which subjectivity enhances the effectiveness of inductive reasoning. We consider a game in which Fate chooses a data generating process and agents are characterized by inference rules that may be purely objective (or data-based) or may incorporate...