Monte Carlo simulations and ODE solutions of the market shares for symmetric appeals.


<p>The Monte Carlo simulations involved 10<sup>4</sup> realizations of the system for nine different set of parameters (grey lines). In all cases we used <i>q</i><sub>1</sub> = 1, the appeal used for both products were the same (<i>A</i><sub>1</sub> = <i>A</i><sub>2</sub>) and both products start with zero purchases, <i>d</i><sub>1</sub>(<i>t</i> = 0) = <i>d</i><sub>2</sub>(<i>t</i> = 0) = 0. Although the 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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