I couldn't find anything about this in the rules...
If an opponent concedes/asks for a rematch, and a rematch is offered/given (respectively), and the opponent wins the game, does that result in a draw?
If the opponent concedes due to a losing position, it's considered a loss.
Everything else is just an agreement between the players.
You can offer a rematch. You can do this without any conditions, in which case the result of the game will be what you end up with.
You can immediately set your conditions - either for half a point, or maybe to get a rematch in case of a win, etc....
Maybe your opponent will immediately say that in case of his victory, it will be a draw.
But you need to remember that if there were no prior agreements, a rematch is a gesture of goodwill from the person offering it and does not impose any obligations on the opponent.
In tournament games, it is not customary to ask for a rematch, and a refusal is usually taken as a matter of course.
When I first came to the forum, there was no talk of rematches or humanitarian restarts; we just didn't know what they were... We would lose 2-3 times in a game, but we wouldn't concede; we would try to fight and often even succeed)). There were no restarts for a block or for one road in the Grand Order on a small map, because of this, we paid very close attention to restarts, and there was no search for "chocolate" (a favorable restart), you could get yourself into a completely unplayable situation.
Therefore, it is better to:
- not offer, a tournament is a sport; if your opponent lost and conceded, then he lost... If you really want to play, offer your opponent a new game. Now, in the group stage, you can play with each opponent as many times as you want; the result will simply be calculated based on the sum (or a draw if the games are, for example, 1-1, or someone's victory if there is an advantage in games)...
- not ask, firstly, don't embarrass yourself; either admit defeat or fight, and secondly, by begging for a rematch, you put your opponent in an awkward position...