  In this paper we investigate a dynamic pricing model for constant demand
elasticity where customers have a probability distribution on the number of
items they order. This is a generalization from standard models which restrict
customers to buy only one item at a time. For the generalized model, we first
obtain a closed form expression for the optimal expected revenue and optimal
pricing strategy. This expression involves a recursively defined term for which
we investigate the behavior. We call comparable models those which have the
same demand, which is the customer arrival rate times the average order size.
In fact, the average order size plays an important role for results for the
generalized model. An important result we show is that comparable models have
the same asymptotic pricing behavior. Numerical results also show that
comparable models are relatively close even for low inventory levels. Lastly,
we prove that the relative difference between comparable models is governed not
by the customer arrival rate, but solely by their order size distributions.
