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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Format: | Article |
Language: | English |
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Wiley
2001-01-01
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Series: | Discrete Dynamics in Nature and Society |
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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 |
id | doaj-art-87c792acaa244e069218bc3aabbb1ba8 |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2001-01-01 |
publisher | Wiley |
record_format | Article |
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 |