You act like all games require you (or your character) to simulate sin in order to be competitive.

most games do not impose this restriction.
You’re suggesting that most games require simulation of bad behaviour in order to be won.
It’s funny that you gave three examples of games which don’t facilitate sinfulness on the part of the player:
Monopoly - There’s nothing sinful about competition in industry. Once they’re out of business and you’ve won, your pretend monopolist is free to donate some money to the loser so they can meet living costs.
Cluedo - Noone knows the details of the murder until the end of the game. If your character is the murderer then confessing is something you DO want to do asap in order to win… what a horrendous example. Maybe you’ve forgotten the rules.
Sorry! - I don’t see how sending someone to the start of a path in this game is simulating sin so of course there’s nothing wrong with this game…?
By the way if you’re trying to prove that competition is not sinful then don’t bother because I never said it was.
Jesus would never be playing such a game and neither should we.
By the way I don’t think that playing such games is sinful but I do think making the conscious decision not to play them is something Jesus would show favour towards.