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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
