Cheating against cheaters

Is it alright to cheat against players who cheat to avenge the loss?

No.

Avenge a loss? It's a game you avenge nothing. Two wrongs make no right.

Play short biltz, cheaters will not get any chance.
If u r a cheater than play longer version

The cheated becomes the cheater ? Hmmm

Therefor it would not be human against human...it would be computer against computer, with the two button pushers becoming spectators, while the machines play against each other.

If you know that someone is cheating, just flip them the finger and move on.

Two wrongs do not make a right.

Yes. The best strategy to encourage good behaviour is tit-for-tat.

In every game you play against them, cheat if they cheated the previous game.

If you cheat against a cheater, you deserve to be banned. Simple.

Just report them for cheating and move on. Its just a game.

It alway surprises me how certain people are that their opponent has "cheated" (as in, played the moves recommended by a chess engine) in a particular game. At the very least, you'd have to be analyzing the game with a chess engine yourself: post game is okay, but it's only a very short step from there to using the chess engine during the game, as evidenced by the very question that the OP has asked.

Even with such analysis, you can really only say that the play looks suspcious. Actual cheating can really only be detected by analyzing a statistically significant number of that person's games and building up a pattern of their play over time.

Thank you guys for the advice.

I use the sophisticated machinery I call the report button. Anyways computer v. computer usually will be a draw... unless someone accesses alphazero somehow...