We analyze an oligopolistic pricing and entry model in which there is
a sunk cost of entry and in which firms' outputs are homogeneous. Firm
s' pure strategies consist of a binary entry decision, and conditional
on entry a uniform or non-linear price schedule. There does not exist
a pure strategy Nash equilibrium in this model, so we analyze the sym
metric mixed strategy equilibrium. The main result is that if there ex
ists a positive sunk cost of entry, then an increase in the number of
potential competitors puts more probability weight on higher prices. T
his result is counter to the usual intuition that underlies current an
titrust policy.