Development of a technological competition model in the presence of network effects from the modified law of Metcalfe |
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Authors: | José Ignacio López-Sánchez José Luis Arroyo-Barrigüete Domingo Ribeiro |
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Institution: | (1) Complutense University of Madrid, Madrid, Spain;(2) University of Valencia, Valencia, Spain |
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Abstract: | The objective of this paper is to propose a new model of competence in presence of network effects. We will introduce some
modifications in the Lotka-Volterra model, in order to solve its deficiencies. The main improvement is to introduce a modification
of Metcalfe’s Law, what allow us to reflect the effect of congestion externalities. The model’s validation, developed by numerical
simulation, confirms that its behaviour is quite similar to that observed in real markets.
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Keywords: | Network effects Technology competence Metcalfe’ s law Dynamical systems |
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