Monte carlo simulations and ODE solutions of the market shares for asymetric appeals.

Abstract

<p>The Monte Carlo simulations involved 10<sup>4</sup> realizations of the system for nine different sets of parameters (grey lines). In all cases, <i>q</i><sub>1</sub> = 1 and both products start with zero purchases, i.e., <i>d</i><sub>1</sub>(<i>t</i> = 0) = <i>d</i><sub>2</sub>(<i>t</i> = 0) = 0. Although Monte Carlo simulations produce discrete dots in the (<i>d<sub>T</sub></i>, <i>MS</i><sub>2</sub>) space, we plot each simulation with straight lines that link consecutive dots to follow trajectories easily.</p

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