  Agents attempt to maximize expected profits earned by selling multiple units
of a perishable product where their revenue streams are affected by the prices
they quote as well as the distribution of other prices quoted in the market by
other agents. We propose a model which captures this competitive effect and
directly analyze the model in the mean-field limit as the number of agents is
very large. We classify mean-field Nash equilibrium in terms of the solution to
a Hamilton-Jacobi-Bellman equation and a consistency condition and use this to
motivate an iterative numerical algorithm to compute equilibrium. Properties of
the equilibrium pricing strategies and overall market dynamics are then
investigated, in particular how they depend on the strength of the competitive
interaction and the ability to oversell the product.
