An evolutionary model of Bertrand oligopoly

Citation
C. Alos-ferrer et al., An evolutionary model of Bertrand oligopoly, GAME ECON B, 33(1), 2000, pp. 1-19
Citations number
11
Categorie Soggetti
Economics
Journal title
GAMES AND ECONOMIC BEHAVIOR
ISSN journal
08998256 → ACNP
Volume
33
Issue
1
Year of publication
2000
Pages
1 - 19
Database
ISI
SICI code
0899-8256(200010)33:1<1:AEMOBO>2.0.ZU;2-8
Abstract
This paper presents an evolutionary model of Bertrand competition in a mark et for a homogeneous good, where identical firms face a technology with dec reasing returns to scale. Only quoted prices and realized profits are obser ved. The behavior of firms is based on imitation of success and experimenta tion, and is formally modeled through behavioral principles. We find that, even under simple behavior, the dynamic process selects a strict subset of the Nash equilibria of the underlying game. In the long run all firms make positive profits. Adding more sophistication, we obtain a finer prediction, named "central prices." This prediction essentially coincides with the Wal rasian equilibrium, if costs are quadratic. Classification Numbers: C72, L1 3. (C) 2000 Academic Press.