Bertrand oligopoly revisited

This paper reconsiders Bertrand duopoly and oligopoly in the spatial formulation due to Hotelling, 1929. The equilibrium configurations of price and location structure are considered, given elastic demand, and a full dynamics is formulated in order to check for stability of equilibrium and the poss...

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Main Author: Tönu Puu
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022601000012
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author Tönu Puu
author_facet Tönu Puu
author_sort Tönu Puu
collection DOAJ
description This paper reconsiders Bertrand duopoly and oligopoly in the spatial formulation due to Hotelling, 1929. The equilibrium configurations of price and location structure are considered, given elastic demand, and a full dynamics is formulated in order to check for stability of equilibrium and the possibilities of complex dynamics, such as occurs easily with Cournot oligopoly. The main discussion concerns Hotelling's original case of two sellers on a given interval, though results for different cases, such as three firms on a circle, and lattices in 2D are indicated.
format Article
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institution Kabale University
issn 1026-0226
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language English
publishDate 2001-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-87c792acaa244e069218bc3aabbb1ba82025-02-03T06:44:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2001-01-016111010.1155/S1026022601000012Bertrand oligopoly revisitedTönu Puu0Department of Economics, Umeå University, Umeå SE-90187, SwedenThis paper reconsiders Bertrand duopoly and oligopoly in the spatial formulation due to Hotelling, 1929. The equilibrium configurations of price and location structure are considered, given elastic demand, and a full dynamics is formulated in order to check for stability of equilibrium and the possibilities of complex dynamics, such as occurs easily with Cournot oligopoly. The main discussion concerns Hotelling's original case of two sellers on a given interval, though results for different cases, such as three firms on a circle, and lattices in 2D are indicated.http://dx.doi.org/10.1155/S1026022601000012Bertrand oligopoly; Hotelling's location problem; Nonlinear maps.
spellingShingle Tönu Puu
Bertrand oligopoly revisited
Discrete Dynamics in Nature and Society
Bertrand oligopoly; Hotelling's location problem; Nonlinear maps.
title Bertrand oligopoly revisited
title_full Bertrand oligopoly revisited
title_fullStr Bertrand oligopoly revisited
title_full_unstemmed Bertrand oligopoly revisited
title_short Bertrand oligopoly revisited
title_sort bertrand oligopoly revisited
topic Bertrand oligopoly; Hotelling's location problem; Nonlinear maps.
url http://dx.doi.org/10.1155/S1026022601000012
work_keys_str_mv AT tonupuu bertrandoligopolyrevisited