Go board game. This is the one game that changes as the way you change your thinking in life changes. It's also a two way street, in that lessons learned on the board can be applied in your real life decision making and conceptualizations. On the one hand, it's a board game, meant to teach tactics and strategy. On the other, it's a conversation between two players where ideas are laid out, interpreted, and the one-upmanship continues, with minor misunderstandings leading to local losses. The board is large enough that you can lose several of those and still recover to win. It most closely follows competing for market share and over-reaching exposes you to risk and large potential losses. The thing I like most is that the player's personality appears in their playstyle, and when confronted with a different playstyle may be required to adapt, as a fast and loose style doesn't stand up when it comes in contact with a 'thick' one.
Btw, the game server that I used was KGS[0] that has a nice easy to use client. Go gained some popularity so there could be other popular game matching sites/software now.
[0] https://www.gokgs.com/