"I see.  I suppose the same would've applied to announcing that you wouldn't accept any splits less than 5:7?"

"I see.  I suppose the same would've applied to announcing that you wouldn't accept any splits less than 5:7?  Anyways, among the tactics I'd try in that situation is offering to generate a random number and split 11:1 or 1:11 based on that, in which case we'd each have a fifty percent chance of winning the whole game, if we did it on the last round and nobody else had caught on earlier."