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On price equilibrium with multi-product firms

Zsolt Sándor

No EI 2004-50, Econometric Institute Research Papers from Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute

Abstract: In this paper we provide a result that shows existence and uniqueness of Nash equilibrium in cases in which existent methods are problematic to apply. We employ this result to the model with simple logit demand, and show existence and uniqueness of price equilibrium when firms produce multiple non-symmetric products. Our proof for this case is based only on the intuitive assumption that market shares are decreasing in own price.

Keywords: Nash-Bertrand; logit; price competition; product differentiation (search for similar items in EconPapers)
JEL-codes: D43 (search for similar items in EconPapers)
Date: 2004-12-20
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