The paradox of voting usually refers to a different claim: that the cost of an individual voting tends to be greater than the expected benefit to the individual.
Confusingly, the term (and the extremely similar “voting paradox”) sometimes refers to the Condorcet paradox, which notes that collective preferences between three or more options can be intransitive. I expect that is the concept you are referring to.
Re:Arrow's Theorem (2014)
by inputcoffee on Saturday November 11, 2017 @01:34PM
(#15677463)
Yes, the latter.
If I recall correctly, the paradox of voting gets represented as a top cycle which leads to irrational decisions. They wanted to come up with mechanisms where they break top cycles. (In these graphs a higher ranked decision was higher on the Y axis.)