Ticket Weight Factor Function

Ticket weights are dependent upon Price Premium and Sponsor Tokens applied to a ticket, as previously mentioned.

It is the Sponsor that determines the TWF function parameters for each lottery. One may value tokens more, other's price premium - note though that the overall weight is a combination of both. The prototype of the function is a polynomial of form:

$$TWF = (\frac{stake}{price})^m \times (tokens+1)^n$$

The following graphs are the results of Selection Function simulations of the case n=1 and m=2,3,4. The winners are red dots and the size of the dot represents the ticket weight.

Winners from a Set {P} of participants with randomized Price Premium (x-axis) vs. Sponsor Tokens applied (y-axis) for m = 1 and n = 2.

Winners from a Set {P} of participants with randomized Price Premium (x-axis) vs. Sponsor Tokens applied (y-axis) for m = 1 and n = 3.

Winners from a Set {P} of participants with randomized Price Premium (x-axis) vs. Sponsor Tokens applied (y-axis) for m = 1 and n = 4.