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

This paper develops a dynamic theoretical model for a polluting industry to determine the emission dynamics, internalizing damage cost function along with production cost function, considering emission factor. It turns out that the competitive output price is composed of not only marginal...

In dynamic models driven by diffusion processes, the smoothness of the value function plays a crucial role for characterizing properties of the solution. However, available methods to ensure such smoothness have limited applicability in economics, and economists have often relied on either...

This short paper demonstrates that the claim of Cumulative Prospect Theory (CPT) that people are risk seeking for loss prospects, which confirmed a hypothetical assumption of the earlier Prospect Theory (PT), appears to be merely a result of using a specific form of the probability weighting...