Technical Note—Existence and Uniqueness of Price Equilibria in Defender

John Hauser and Birger Wernerfelt

Marketing Science, 1988, vol. 7, issue 1, 92-93

Abstract: This note provides a formal proof that for the Defender model, with uniformly distributed tastes, the Nash price equilibria exist and, for a given set of positions, that they are unique. We also show that the profit function is well-behaved—continuous and quasi-concave—and that the maximum occurs on the concave portion of the curve.

Keywords: pricing; positioning (search for similar items in EconPapers)
Date: 1988
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