This paper is concerned with the classic topic of intertemporal resource economics: the optimal harvesting of renewable natural resources over time by one and several resource owners with conflicting interests. The traditional management model, dating back to Plourde (1970), is extended towards...

In this paper we claim that the disadvantage in the pollution control is not primarily the accumulated stock of pollutants, which is an accomplished fact, but the use of the available inputs in production in conjunction with the available equipment are the sources of pollutants accumulation. In...

We present a set of necessary and sufficient conditions for a class of optimal control problems with pure state constraints for which the objective function is linear in the state variable but the objective function is otherwise only restricted to be upper semicontinuous in the control variable.

In the article we present some extension for the classical problem of dynamic investment optimization. We take the neoclassical model of growth with one product and many consumption goods. The number of consumption goods can be infinite and the consumption bundle is defined on some abstract,...

We consider an ecosystem management problem where managers can use habitat creation and predator removal to conserve an endangered species. Predator removal may become particularly important in the face of habitat loss, and ecosystem management strategies that ignore the influence of habitat are...

The following description and analysis of a firm in atomistic competition is motivated by the need to specify a dynamic equation of price behavior to be tested on U.S. manufacturing time-series data. It is shown that uncertainty of price information in a market composed of many competing firms...

We prove that under standard Lipschitz and growth conditions, the value function of all optimal control problems for one-dimensional diffusions is twice continuously differentiable, as long as the control space is compact and the volatility is uniformly bounded below, away from zero. Under...

The paper develops an optimal control model to analyse various management options for infectious diseases that occur in metapopulations, under both Nash and cooperative behaviour. As pathogens are renewable resources with negative value, the problem may be non-convex. Since the disease can be...

In this note, we investigate how the depreciation of a manufactured stock and the related accumulation of a waste stock can alter the optimal path of the capital-resource economy. It is shown that the optimal consumption path is aected by how the disuse pattern of the manufactured stock in...

Dynamic modeling is general and recently the most interesting perspective to solve a dynamic economic problem based on Pontryagin’s maximum principle. Moreover traditional economic theory, up to the middle of twentieth century, builds up the production functions regardless the inputs’...