W=1 L=0 D=0 First person to 7 wins. That way no ties. Basic rules of chess apply. Period. Agreed upon time limit of 2 hrs per player or if both agree longer... No extra rules, or conditions.
Remove the draw offer !
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If in doubt, go with south park rules and settle it by Rochambeau.
Look, it's an agreed draw. Meaning that neither party is better than the other. It's not a disgrace, it's just a way to break deadlock.
Many soccer championship were decided by penalties even in the elimination stage. That brought some disappointment to disgrace soccer = penalties. But none has come up with a better idea to break deadlock. I remember suddent death was tried with disappointment and never played again. It's back to 2x 45' + OT 2x15' + penalties to break deadlock.
The reason is they still play soccer for 2x45' + 2x15'. The penalties feature is meant to break deadlock.
Back to chess. They still play chess and deadlock occurs. It's still chess in full meaning. The armageddon is meant only to break deadlock.
It's more disappointment that no champion is resulted from playing chess.