# The math behind competitive Pokemon, Part 3: Nash Equilibria

If you watch some YouTubers or Twitch streamers play competitive Pokemon, you will often hear phrases like this, after they made a choice that resulted in a bad outcome for them: Wow, my opponent is such a ****head, why did he klick Earthquake in front of my Zapdos. He’s such a bad player! And now…

# The math behind competitive Pokemon, Part 2: Value Function Approximation

The last post was about playing optimal Pokemon games by calculating the value function V(x) using Bellmann equations. Unfortunately, this was impractical, so we need another way to calculate the likelihood of winning games. One solution to this problem is called Value Function Approximation. The idea behind it is to not calculate the value function…

# The math behind competitive Pokemon, Part 1: Bellman Equations

One year ago, I was drawn into the world of competitive Pokemon. It’s an incredibly deep game that requires quite an effort to master. First, you have to memorise a vast amount of information: Which type of attack is most effective against which type of Pokemon? What are the base stats of the different Pokemon,…