This paper presents a characterization of internal Cournot equilibrium based on first-order conditions corresponding to profit maximization over prices. This characterization may yield significant computational advantage as demand functions need not be inverted and simple first-order conditions...

Consider the Hotelling linear spatial duopoly with firm uncertainty over the consumer mean. As uncertainty about the mean grows relative to the dispersion of consumers, competitive locations become socially optimal. A limit result for discontinuous, log-concave densities is also established.

Sufficient conditions for a unique price equilibrium, in terms of the uncertainty distribution and the state contingent consumer distributions, are given for spatial duopoly. Also considered are efficiency and endogenous locations for the symmetric case and comparative statics on price flexibility.