Using the Nash Equilibrium to build a minimalist PvE list for Pokémon GO

Abstract. This post introduces the concept of Nash Equilibrium into Pokémon GO meta-game, with the intention to build a minimalist PvE list. The idea is to build an all-round team for gym battles or for boss raids with few Pokémon. This approach allows the players to concentrate their resources to build a small team of strong Pokémon instead of a large group of mildly strong Pokémon. To demonstrate the usage of the Nash Equilibrium, I use Timeout as the win condition for gym battles and total damage output for boss raids. The resulting minimalist lists are for reference; I provided, at the end of the post, the dataset and the code necessary for the readers to build their own minimalist lists.

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Why Elo ratings are less efficient for Yugioh Duel Links than for chess?

Yugioh Duel Links is a digital collectible card game (CCG), which could be played on mobile devices. Like many other CCGs, there is an in-game Ladder system, where players compete with each other to prove themselves as the best duelist in the world. However, many players complain about the mechanism of this Ladder and suggest replacing it with the Elo system. In this post, I can show you, thanks to the cutting-edge research of DeepMind, that the Elo system, or any other systems using averaging, is unavoidably inefficient for Duel Links.

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A simple model to understand free-to-play games

Free-to-play (F2P) and Pay-to-play are two different business models. Pay-to-play requires the players to make a fixed-amount purchase to play the game. Examples include World of Warcraft, Eve Online and so forth. Free-to-play usually adopts a freemium model and does not require any payment in advance to access the game. Instead, players can make in-game micropayments to enhance their gaming experience, which is also the method with which the company makes money. Examples include League of Legends, Dota 2, Hearthstone, Clash Royale, Pokémon GO and so forth. F2P has been a great commercial success, and more and more online games follow this model.

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