To determine how expenditure and profits vary with the number of firms in t
he patent race contest of Lee and Wilde, it is traditional to impose an ad-
hoc stability condition on the best response function. This paper relates t
he stability condition to the standard myopic adjustment mechanism and show
s that a concave hazard rate function with nonincreasing hazard rate elasti
city is sufficient for the analysis. We provide examples and reveal additio
nal qualitative properties of the Lee and Wilde model.