Symmetric games, games that gives the exact same power and attributes on both players in a 1v1 game, can be considered as "perfectly balanced", depending the gameplay.
youtube.com
youtube.com
Arcade puzzle games happens to be really well balanced as a competitive video game genre, but it heavily depends the rules of the game, even if it's the same concept.
- Puyo Puyo Tsu is balanced. Puyo Puyo Fever isn't.
- Tetris Friends Arena with Expert+ rules is balanced, but Puyo Puyo Tetris on a Tetris VS Tetris matchup isn't. Even if it has the same rules, more or less.
You have games that put the same random factor in both players, but a given random might be better for a player in a specific situation and the same given random can be deadly for the other one.
TL;DR: , and are full of crap, is a ruseman, forgot that Chess is a turn-based game and I don't even get the rest of this thread.