Constant Sustainable Consumption Rate in Optimal Growth with Exhaustible Resources

Optimal Growth Paths with Exhaustible Resources: an Information-based Model

Games with Exhaustible Resources

We study N -player continuous-time Cournot games in an oligopoly where firms choose production quantities. These are nonzero-sum differential games, whose value functions may be characterized by systems of nonlinear Hamilton-Jacobi partial differential equations. When resources are in finite supply, such as oil, exhaustibility enters as boundary conditions for the PDEs. We analyze the problem w...

Optimal Control for Sustainable Consumption of Natural Resources

In this paper we study optimal policies for a central planner interested in maximizing utility in an economy driven by a renewable resource. It is shown that the optimal consumption path is sustainable only when the intrinsic growth rate of the resource is greater than the social discount rate. The model is formulated as an infinite horizon optimal control problem. We deal with the mathematical...

Optimal tariffs on Exhaustible Resources: the Case of quantity-Setting

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An optimal policy for deteriorating items with time-proportional deterioration rate and constant and time-dependent linear demand rate

In this paper, an economic order quantity (EOQ) inventory model for a deteriorating item is developed with the following characteristics: (i) The demand rate is deterministic and two-staged, i.e., it is constant in first part of the cycle and linear function of time in the second part. (ii) Deterioration rate is time-proportional. (iii) Shortages are not allowed to occur. The o...