Earlier quoted context omitted.
Basically the Two General's Problem, eh? https://en.wikipedia.org/wiki/Two_Generals%27_Problem
> Thus it quickly becomes evident that no matter how many rounds of confirmation are made, there is no way to guarantee the second requirement that each general be sure the other has agreed to the attack plan. This isn't true. There is a point where both sides have confirmed receipt of the last new info (the original confirmation back to the initial sender), and further confirmation is just icing. What kind of genera…
Suppose A sends the message to B, B sends an ack to A but A's ack back to B is lost. Now both A and B know the time of the attack but B considers it possible that [A does not know that B knows]. B thinks if A really does not know that B knows then A may not attack out of the consideration of the possibility that B does not know. And this possibility may make B call off the attack even if B knows.
Each round of successful exchange increase the order of statements that are known, but there is a statement of higher order which is still not known and which can cause the attack to unravell inductively.
Look up 'Rubinstein's e-mail game' for a choice of payoffs that causes no attack to happen for any positive probability, howsoever small, of a message getting lost.