Condorcet's paradox

Condorcet's paradox occurs in voting systems when individual preferences lead to a situation where collective choices contradict majority opinions. For example, imagine three candidates: A, B, and C. Voters might prefer A over B, B over C, and C over A. When preferences are aggregated, no candidate emerges as the clear winner, despite each candidate having a majority preference over another. This illustrates that group preferences can be inconsistent, highlighting challenges in decision-making processes and the complexities of democratic voting. Ultimately, it demonstrates that majority rule does not always yield a clear or fair outcome.