4 research outputs found

### 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

### 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

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

<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

### Market share of product 2 (<i>MS</i><sub>2</sub>) as a function of <i>Q</i><sub>2</sub> and <i>A</i><sub>2</sub>, for different values of <i>A</i><sub>1</sub> and , assuming <i>q</i><sub>1</sub> = 1.

<p>Market share of product 2 (<i>MS</i><sub>2</sub>) as a function of <i>Q</i><sub>2</sub> and <i>A</i><sub>2</sub>, for different values of <i>A</i><sub>1</sub> and , assuming <i>q</i><sub>1</sub> = 1.</p