Publication Date: February 1990
We present a new approach to the theory of imperfect competition and apply it to study price competition among diﬀerentiated products. The central result provides general conditions under which there exists a pure strategy price equilibrium for any number of ﬁrms producing any set of products. This includes products with multi-dimensional attributes. In addition to the proof of existence, we provide conditions for uniqueness. Our analysis covers location models, the characteristic approach, and probabilistic choice together in a uniﬁed framework.
To prove existence, we employ aggregation theorems due to Prekopa (1971) and Borell (1975). Our companion paper [CFDP 938] introduces these theorems and develops the application to super-majority voting rules.
Imperfect competition, Bertrand equilibrium, diﬀerentiated products, prices, price competition
JEL Classification Codes: 611, 022, 511
Published in Econometrica (January 1991), 59(1): 25-59 [jstor]