The Best Choice? Math Has the Answer - Game Theory & Nash Equilibrium
Can math really tell us what the best choice is? In this video, we explore how game theory can be used to make better decisions, using Pokémon PvP battles as an example. You’ll learn what a dominant strategy is, why it sometimes doesn’t exist, and how the famous Nash equilibrium helps us find the best possible strategy when things get complicated. By the end of the video, you’ll be able to build a strategy that cannot be exploited by your opponent. Teaching material: https://drive.google.com/drive/folder... Timestamps 00:00 The context 01:27 Dominant strategies 03:35 Nash equilibrium 04:45 Mixed strategies 05:34 The math behind a choice 08:15 The best choices to win pvp 10:54 Links and insights If you enjoyed this video, consider subscribing to support the project! #GameTheory #NashEquilibrium #Mathematics #Pokemon #PvP #educationalcontent About 20 years ago now, my math teacher brought a little book to class and said to me, ‘Read it, you’ll like it’. It was a really thoughtful gesture, and that little forty-page booklet was my very first introduction to game theory. I read it, but unfortunately I remember not liking it. In that booklet, game theory… had nothing to do with games! I was still naive back then and had no idea how deep and wonderful the world of mathematics truly was. Today, however, I’ve almost finished my next video. It’s about game theory, and I hope I can present it in a more engaging way, so that perhaps - one day - one of you listeners might become passionate about it and decide to explore the journey that begins here. Have a great weekend, everyone!

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