math - A simple vote aggregation function -


i want evaluate acceptance rate of proposal, proposal can receive 2 types of votes: namely positive , negative.

so simplest function comes mind follows:

p + n / p + n + \epsilon

however come more sophisticated function satisfy following 2 properties.

  • the ratio of positive votes total amount of votes should take precedence. p1 = 5, n1 = 0, p2 = 99, n2 = 1 function should calculate higher acceptance rate first one.

  • when ratios equal, function should return higher acceptance rate 1 higher number of total votes. in following case p1 = 1000, n1 = 0, p2 = 10, n2 = 0 again first 1 should have higher acceptance rate.

another idea concerning function following:

w * [p / (p + n)] + (1 - w) * [(p + n) / maxv]

where maxv maximum number of votes proposal received , w real number in [0..1].

this function satisfy second condition whereas guarantee not extend first one. finding value w satisfy system cumbersome i'm searching better solution.


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