Suppose that in a series of paired-choice votes, a new park is preferred to a new recreation center and a new recreation center is preferred to street widening. Also suppose that street widening is preferred to a new park. This set of votes is an example of the

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This scenario is an example of the paradox of voting, also known as Condorcet's Paradox, which occurs when collective preferences are cyclic (i.e., non-transitive) despite the individual preferences being perfectly rational and transitive. This means that the group's preferences can loop in a way that no option is the definitive winner when compared pairwise, as shown by the preference cycle: park > recreation center > street widening > park.

Suppose That in a Series of Paired-Choice Votes, a New