Consumers become satiated with a product when purchasing too much too quickly. How much is too much and how quickly is too quickly depends on the characteristics of the product relative to the time interval between consumption periods. Knowing that, consumers allocate their budget to products...

In this paper, we present a discrete time regime switching binomial-like model of the term structure where the regime switches are governed by a discrete time semi-Markov process. We model the evolution of the prices of zero-coupon when given an initial term structure as in the model by Ho and...

We examine in discrete time the management of a flow pollutant that causes damage when it crosses a fixed but unknown threshold. The manager sequentially chooses a pollution level that allows learning about the threshold, thereby improving future decisions. If crossed, damage can be reversed at...

So-called “search equilibrium models” typically have multiple equilibria. In almost all studies on these models, only steady states are considered mainly because it is difficult to find non-stationary equilibria. This difficulty does not disappear even if we consider finite-horizon...

In order to find the real market value of an asset in an exchange economy, one would typically apply the formula appearing in Lucas(1978), developed in a discrete time framework. This theory has also been extended to continuous time models, in which case the same pricing formula has been...

This paper examines a single machine sequencing problem with a quadratic cost function of completion times. A new type of precedence relation is constructed that determines the ordering between adjacent jobs. Each pair of jobs has a critical start time, after which the precedence relation...