We give a full characterization of the open-loop Nash equilibrium of a non-renewable resource asymmetric game. We show that (i) there almost always exists a phase where both supply simultaneously positive quantities, (ii) when the high cost mine is exploited by a number of firms that goes to...

We revisit the seminal growth model with exhaustible resources, the so called Dasgupta-Heal-Stiglitz-Solow model (DHSS). For this optimal control problem with two state variables, we explicitly characterize the dynamics of all the variables in the model and from all possible initial values of...

We specify and solve a closed-loop dominant firm nonrenewable resource game, with a price-taking fringe. We show that (i) the outcomes of the closed-loop and the open-loop dominant firm nonrenewable resource game (à la Salant 1976) coincide and (ii) when the number of fringe firms becomes...

We provide the closed form solution to the Dasgupta-Heal-Solow-Stiglitz (DHSS) model. The DHSS model is based on the seminal articles Dasgupta and Heal (Rev. Econ. Stud.,1974), Solow (Rev. Econ. Stud.,1974) and Stiglitz (Rev. Econ. Stud.,1974) and describes an economy with two assets, man-made...

The purpose of this paper is to characterize the optimal time paths of production and water usage by an agricultural and an oil sector that have to share a limited water resource. We show that for any given water stock, if the oil stock is sufficiently large, it will become optimal to have a...

We consider a nonrenewable resource game with one cartel and a set of fringe members. We show that (i) the outcomes of the closed-loop and the open-loop nonrenewable resource game with the fringe members as price takers (the cartel-fringe game à la Salant 1976) coincide and (ii) when the number...

The purpose of this paper is to characterize the optimal time paths of production and water usage by an agricultural and an oil sector that have to share a limited water resource. We show that for any given water stock, if the oil stock is sufficiently large, it will become optimal to have a...