On Nash equilibrium in prices in an oligopolistic market with demand characterized by a nested multinomial logit model and multiproduct firm as nest
AbstractThis 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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Bibliographic InfoPaper provided by Research Department of Statistics Norway in its series Discussion Papers with number 454.
Date of creation: Apr 2006
Date of revision:
oligopolistic market; multiproduct firm; nested multinomial logit model; Nash equilibrium;
Find related papers by JEL classification:
- C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-05-20 (All new papers)
- NEP-COM-2006-05-20 (Industrial Competition)
- NEP-DCM-2006-05-20 (Discrete Choice Models)
- NEP-IND-2006-05-20 (Industrial Organization)
- NEP-MIC-2006-05-20 (Microeconomics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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- Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Cowles Foundation Discussion Papers 937, Cowles Foundation for Research in Economics, Yale University.
- 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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