We derive a simple expression for the income-pollution path using the standard static model of the environmental Kuznets curve (EKC). This expression makes it straightforward to identify the general characteristics of utility and pollution functions that lead to such a curve. We show that...

We derive a simple expression for the income-pollution path using the standard static model of the environmental Kuznets curve (EKC). This expression makes it straightforward to identify the general characteristics of utility and pollution functions that lead to such a curve. We show that...

Researchers often report point estimates of turning point(s) obtained in polynomial regression models but rarely assess the precision of these estimates. We discuss three methods to assess the precision of such turning point estimates. The first is the delta method that leads to a normal...

One criterion for evaluating voting rules is the frequency with which they select the best candidate. Using a spatial model of voting that is capable of simulating data with the same statistical structure as data from actual elections, we simulate elections for which we can define the best...

We estimate the frequencies with which ten voting anomalies (ties and nine voting paradoxes) occur under 14 voting rules, using a statistical model that simulates voting situations that follow the same distribution as voting situations in actual elections. Thus the frequencies that we estimate...