The transition to an oil contraction economy

A normative analysis of the problem of optimal extraction of a nonrenewable resource is considered. The economy depends on the essential nonrenewable resource and the rate of the resource extraction is increasing over time. At some point the government gradually switches to a sustainable (in sense of non-decreasing consumption over time) pattern of the resource extraction. Different approaches are offered for the construction of the paths of switching to decreasing resource use. Some seemingly attractive short-run policies of switching to decreasing extraction can run counter to long-run criteria. If we consider the maximin principle, applied to the negative shock on the output percent change, as the short-run criterion, then the optimal transition path can be consistent with the long-run government goals. It is shown analytically and numerically that there are values of parameters for the transition paths of extraction that consumption along these paths is asymptotically constant or infinitely growing. A new approach to the Rawlsian maximin criterion which allows for growth of consumption is offered.