Imagine a world of direct democracy, without political parties, without legislatures or parliaments, without laws ruined by the fallacy of the compound question, without gerrymandering or spoilers, without a class of professional rule-makers whose warped incentives are the enemies of the common good. Here is an equation to achieve that world. Think I'm wrong? Contact me and explain to me why this won't work.

Consider a set of options: 7 possible candidates for an executive office, 15 different variants of a bill, in factwhere:

Notice that this is simply the mean () of the option's votes
multiplied by a unit-circle
function, , which is in
quadrant II because,
since :

Also, since :

The purpose of the unit-circle function is to attenuate as
approaches 0. Note that because a linear function in the same position attenuates
more severely, a vote of 0 is *always* stronger disapproval than unconsidered (at the two edge
cases it may look equal, but at one edge there are no considered and at the other no unconsidered, eliminating comparison):