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Also as <math>x \uparrow</math> the #votes recruited <math>\downarrow</math>, and as <math>x \uparrow</math> the cost of recruiting a vote <math>\uparrow</math>.
It is also possible to calculate when vote recruitment becomes too costly all together for the interest. This is covered in some detail in the paper, but loosely if <math>x > x^*(z_g,0)=\frac{8 \beta z_g}{4 \beta + \alpha}\,</math>, the then the cost exceeds the gain.
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