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Probabilistic QV

PQV Basic

Sybil attack is advantageous in QV because the more votes are divided, the more profitable it is. D3LAB suggests PQV which applies a probabilistic model so dividing votes always results in a loss.
Assume that the total number of votes is 100, and a user submitted 10 votes. There is a 10% (
10100\frac{10}{100}
) of chance that his opinion will be reflected, or a 90% (
1−101001-\frac{10}{100}
)chance that it will not.
The expected value of voting in this condition is
10×0.1≈0.3162\sqrt{10}\times0.1\approx0.3162
. However if the user split the 10 votes in two, the expected value lowered to
5×2×0.05≈0.2246\sqrt{5}\times2\times0.05\approx0.2246
. This means doing Sybil attack is less beneficial.