How Does Voting Systems and the Condorcet Paradox | Infinite Series Work?

Imagine you and your friends are picking which game to play at recess, but instead of just voting for one favorite, everyone has different opinions about who should win.

Voting systems are like the rules you use to decide the winner. One common way is plurality, where the choice with the most votes wins, kind of like when you all shout your favorite game and the loudest one wins.

But sometimes, things get tricky, just like when you have three friends who each like a different game. That's where the Condorcet Paradox comes in!

Let’s say:

• Alice likes tag more than kickball, and kickball more than hide and seek
• Bob likes kickball more than hide and seek, and hide and seek more than tag
• Charlie likes hide and seek more than tag, and tag more than kickball

Even though no one is the clear favorite, when you pair them up in head-to-head votes, like who would win between tag and kickball? Kickball and hide and seek? Hide and seek and tag?, each game actually beats another! It’s like a rock-paper-scissors battle among games!

So even with more than one vote, sometimes no clear winner shows up, that's the Condorcet Paradox in action! Imagine you and your friends are picking which game to play at recess, but instead of just voting for one favorite, everyone has different opinions about who should win.

Voting systems are like the rules you use to decide the winner. One common way is plurality, where the choice with the most votes wins, kind of like when you all shout your favorite game and the loudest one wins.

But sometimes, things get tricky, just like when you have three friends who each like a different game. That's where the Condorcet Paradox comes in!