On Nash equilibrium in prices in an oligopolistic market with demand characterized by a nested multinomial logit model and multiproduct firm as nest

摘要

Abstract:This note provides a proof on existence and uniqueness of Nash equilibrium in prices in a marketwhere the demand side is characterized by a nested multinomial logit model with multiproduct firm asnest and the supply side consists of oligopolistic price-setting multiproduct firms with each producingvarious differentiated variants.Keywords: oligopolistic market, multiproduct firm, nested multinomial logit model, Nash equilibrium