Economic Policies to Address the Environmental Consequences of Global Reuse

This paper summarizes a two-country model that solves for optimal tax rates to achieve efficiency in an economy with international trade in used consumer electronics. If only the developed nation can tax the disposal of e-waste, then the global Pareto Optimum can be obtained by either imposing an import tariff on used consumer electronics or subsidizing the return of e-waste for disposal in the developed country. The global Pareto Optimum can also be obtained by reducing the disposal tax in the developed country to a level below the external marginal cost of disposal should no other policy option be available.

New Results Concerning Probability Distributions with Increasing Generalized Failure Rates

The generalized failure rate of a continuous random variable has demonstrable importance in operations management. If the valuation distribution of a product has an increasing generalized failure rate (that is, the distribution is IGFR), then the associated revenue function is unimodal, and when the generalized failure rate is strictly increasing, the global maximum is uniquely specified. The assumption that the distribution is IGFR is thus useful and frequently held in recent pricing, revenue, and supply chain management literature. This note contributes to the IGFR literature in several ways. First, it investigates the prevalence of the IGFR property for the left and right truncations of valuation distributions. Second, we extend the IGFR notion to discrete distributions and contrast it with the continuous distribution case. The note also addresses two errors in the previous IGFR literature. Finally, for future reference, we analyze all common (continuous and discrete) distributions for the prevalence of the IGFR property, and derive and tabulate their generalized failure rates.