In this paper, we propose an evolutionary oligopoly game of technology adoption in a market with isoelastic demand and two possible (linear) production technologies. While one technology is characterized by lower marginal costs, the magnitude of fixed costs entails that a technology does not necessarily dominate the other. Firms are forward-looking as they assess the profitability of employing either technology according to the corresponding expected profits. The dynamics of the system is studied through a piecewise-smooth map, for which we present a local stability analysis of equilibria and show the occurrence of smooth and border collision bifurcations. Global analysis of the model is also presented to show the coexistence of attractors and its economic significance. This investigation reveals that firms can fail to learn to adopt the more efficient technology.
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Research Article|
May 16 2018
Evolutionary technology adoption in an oligopoly market with forward-looking firms
Special Collection:
Nonlinear Economic Dynamics
F. Lamantia;
F. Lamantia
a)
1
Department of Economics, Statistics and Finance, University of Calabria
, Via Pietro Bucci 0-1C, 87036 Rende (CS), Italy
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a)
Also at School of Social Sciences, University of Manchester, Manchester, UK. Electronic mail: fabio.lamantia@unical.it
b)
Electronic mail: davide.radi@unipi.it
Chaos 28, 055904 (2018)
Article history
Received:
January 30 2018
Accepted:
April 10 2018
Citation
F. Lamantia, D. Radi; Evolutionary technology adoption in an oligopoly market with forward-looking firms. Chaos 1 May 2018; 28 (5): 055904. https://doi.org/10.1063/1.5024245
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