The purpose of this paper is to consider a partial equilibrium model for a sustainable infrastructure investment in a labor-production economy. We consider an inter-temporal Stackelberg game in a "capital primitive" economy where all capital investments are made by a Central Agency (a...

The purpose of this paper is to introduce and construct a state dependent counting and persistent random walk. Persistence is imbedded in a Markov chain for predicting insured claims based on their current and past period claim. We calculate for such a process, the probability generating...

The purpose of this paper is to study the mean, the variance, the probability distribution and the hazard rate of the inverse range process of an a-priori unknown volatility random walk. Motivation for this process arises when it is necessary to obtain statistics that pertain to a process...

This paper considers an individual's problem and effects on savings for retirement. We show using a deterministic model, a linear utility function and assuming an individual can benefit from a tax break in savings, that under reasonable circumstances, there is only one switch from not saving to...

This paper considers an individual's problem and effects on savings for retirement. We show using a deterministic model, a linear utility function and assuming an individual can benefit from a tax break in savings, that under reasonable circumstances, there is only one switch from not saving to...