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.

https://en.wikipedia.org/wiki/Condorcet_paradox