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

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    Abstract

    This note provides a proof on existence and uniqueness of Nash equilibrium in prices in a market where the demand side is characterized by a nested multinomial logit model with multiproduct firm as nest and the supply side consists of oligopolistic price-setting multiproduct firms with each producing various differentiated variants.

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    File URL: http://www.ssb.no/a/publikasjoner/pdf/DP/dp454.pdf
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    Bibliographic Info

    Paper provided by Research Department of Statistics Norway in its series Discussion Papers with number 454.

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    Date of creation: Apr 2006
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    Handle: RePEc:ssb:dispap:454

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    Keywords: oligopolistic market; multiproduct firm; nested multinomial logit model; Nash equilibrium;

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    1. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    2. Goldberg, Pinelopi Koujianou, 1995. "Product Differentiation and Oligopoly in International Markets: The Case of the U.S. Automobile Industry," Econometrica, Econometric Society, vol. 63(4), pages 891-951, July.
    3. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-90, July.
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