The gains and losses to predicting nominal income by disaggregating via the new classical aggregate supply and rational expectations hypotheses

In this paper we compaia the predictive power of two types of model of nominal income: one based on a simple single equation aggregate framework; the second disaggregated into price level and output components. The source of the decomposition of nominal income of the type of model that is considered here are the twin hypotheses of rational expectations and structural neutrality. The model chosen as being representative of this approach to macroeconomic model building and against which some single equation models are compared isBarro's [1978] model of the price level and output in the U.S.     

Piracy,Imitation, and Optimal Copyright Policy

This article presents a model of optimal copyright policy which incorporates several realistic features which have hitherto been largely ignored. First, although copyright is understood as a means of encouraging the creation of new works, the optimal number of such works is generally not considered. Second, copyright infringement encompasses two different activities subsumed under the same legal umbrella: One might either “pirate” (i.e., illegally copy) a work or one might create a “new” work which is a close imitation of an existing one. The mutual recognition of these two features leads to some surprising conclusions relevant to current debate over copyright reform. In particular, while strong piracy protection encourages overproduction of intellectual property, enhanced protection against imitation can mitigate the associated inefficiencies, benefitting society.     

Linear pooling of potentially related density forecasts in crop insurance

Accurate pricing of crop insurance policies relies on forecasts of probability densities of crop yields. Yield densities are dynamic, time series data on yields are often limited, and yield data are spatially correlated. We examine linear pooling of potentially related, but almost surely misspecified, crop yield density forecasts. The pooled forecasts combine densities from other spatial units based on out-of-sample forecast performance. The pooled densities result in more accurate premium rates which can reduce incentives for adverse selection. The approach is applicable to any insurance setting where the statistical model for the loss variable is likely to be misspecified and the underlying data-generating processes are potentially related.     

Price promotions and “freemium” app monetization

The “freemium” model for digital goods involves selling a base version of the product for free, and making premium product features available to users only on payment. The success of the model is predicated on the ability to profitably convert free users to paying ones. Price promotions (or “sales”) are often used in freemium to induce this conversion. However, the causal effect of exposing consumers to such inter-temporal price variation is unclear. While sales can generate beneficial short-run conversion, they may be harmful in the long-run if consumers inter-temporally substitute purchases to periods with low prices, or use them as signals of low product quality. These long-run concerns may be accentuated in freemium apps, where the base version is sold for free, so that sales form extreme price cuts on the overall product combination. We work with the seller of a free-to-play video game to randomize entering cohorts of users into treatment and control conditions in which promotions for in-game purchases are turned on or off. We observe complete user behavior for half a year, including purchases and consumption of in-game goods, which, in contrast to much of the extant literature, enables us to assess possible substitution over time in consumption directly. We find that conversion and revenue improve in the treatment group; and detect no evidence of harmful inter-temporal substitution or negative inferences about quality from exposure to price variation, suggesting that promotions are profitable. We conjecture that the zero price of the base product that makes its consumption virtually costless, combined with the complementarity between the base product and premium features can help explain this. To the extent that this holds across freemium contexts, the positive effects of promotions documented here may hold more generally.