Why Perfect Democracy Is Mathematically Impossible

Discover the complexities of decision-making in voting systems. According to Natalia Jonard Pérez, a mathematics expert, choosing between three or more options poses challenges. Find out why perfect democracy is impossible, and explore the Condorcet Paradox.

Why Perfect Democracy Is Mathematically Impossible
A glimpse into the world where math meets democracy. Explore the fascinating concept of voting methods and the search for a perfect system.

Choosing between three or more options makes an appointment more complex because, mathematically, there is no way to select something that pleases the majority, according to Natalia Jonard Pérez, an academic at the Department of Mathematics of the Faculty of Sciences at UNAM.

"The problem is not so much the method (of voting), but the fact of having to choose between three or more options; that is where all the problems occur because different situations can arise," she said.

According to the specialist, choosing between two options is adequate because only a tie can occur or someone obtains more than 50 percent of the votes and is declared the winner, but let's think about when there are more.