This paper shows that there is no interior solution in Mai–Hwang's 1992 oligopolistic location model with free entry when the production function exhibits constant or decreasing returns to scale. The comparative static results of the impact of a demand change on the location decision only apply to the case where the production function exhibits increasing returns to scale. It re-examines the impact of a demand change on the location decision of an oligopolistic firm and corrects the propositions derived by [C.C. Mai, H. Hwang, Production-location decision and free entry oligopoly, Journal of Urban Economics 33 (1992) 252–271. Reprinted in: M.L. Greenhut, G. Norman (Eds.), The Economics of Location, vol. I: Location Theory, Edward Elgar, Aldershot, 1995].