We introduce a deterministic one–dimensional Cellular Automata model, CA, following Boccara (2004) and extend it to a suitable bivariate probabilistic version where an agent may select, at time t, at most one between two competing innovations. This bivariate automaton is then simplified under a “mean-field approximation”, obtaining a continuous representation that gives rise to the Guseo–Bonaldo synchronic duopolistic model, GB–M (see Bonaldo (1991)). Moreover, we study some characterizations of the more complex two–fold diachronic case.

Competition Modelling in Multi-Innovation Diffusions: Multivariate Cellular Automata and Differential Approaches

GUSEO, RENATO;DALLA VALLE, ALESSANDRA
2008

Abstract

We introduce a deterministic one–dimensional Cellular Automata model, CA, following Boccara (2004) and extend it to a suitable bivariate probabilistic version where an agent may select, at time t, at most one between two competing innovations. This bivariate automaton is then simplified under a “mean-field approximation”, obtaining a continuous representation that gives rise to the Guseo–Bonaldo synchronic duopolistic model, GB–M (see Bonaldo (1991)). Moreover, we study some characterizations of the more complex two–fold diachronic case.
Atti della XLIV Riunione Scientifica della Società  Italiana di Statistica.
9788861292284
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2463974
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