Arrow's Impossibility Theorem

Arrow's Impossibility Theorem states that it is impossible to create a fair voting system that perfectly reflects the preferences of individuals when choosing among three or more options. Specifically, any system that meets a few reasonable criteria—like fairness and consistency—will inevitably lead to results that can be problematic, such as favoring one option unfairly or being vulnerable to manipulation. This means that while we strive for a democratic process, the inherent difficulties in aggregating diverse opinions often lead to outcomes that may not truly represent the collective will of the voters.