Constructing a dynamic game model of trade of an exhaustible resource, this paper compares feedback Nash and Stackelberg equilibria when the exporting country sets quantity rather than price. We consider two different leadership scenarios: leadership by the importing country, and leadership by...

Does a country strictly gain if it acts as a leader in a resource market under bilateral monopoly? Using differential games, we show that the answer is "yes"" when leadership can be exercised globally (global Stackelberg leadership), but possibly ""no"" when it is exercised only at each stage...

We consider a class of differential games with transition equations that are homogeneous of degree one. For any game G with a discount rate r, consider a Markov perfect equilibrium (MPE) with strategies that are linear in the state variables. We show that the time paths of the control variables...

We show that, if relative wealth appears in the utility function, for example due to status seeking, then under certain conditions on the curvature of the utility function and the production function, the poor will eventually catch up with the rich. We give sufficient conditions for the final...

We consider the class of differential games with transition dynamics and constraints that are homogeneous of degree one. We show that if the integrand of the objective function is homogeneous of degree , then best replies to linear homogeneous Markov strategies are linear homogeneous, and the...

We model the non-cooperative choice of levels of inputs whose current usage results in the future decline in their effectiveness. We show that there are multiple equilibria that are Pareto rankable. Compared with the social optimum, lack of cooperation implies excessive use of input, leading to...

We show that in some leader-follower games, a steady-state equilibrium in quantities may exist only with non-stationary shadow prices. We call this type of equilibrium a semi-stationary steady state. Conclusions that are drawn on the assumption that a steady-state equilibrium has stationary...