MHB Minimal number of successful communication

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The discussion revolves around a problem involving three armies: A, B, and C, with a mountain obstructing communication between A and B. The challenge is to determine the minimal number of times a pigeon must successfully cross the mountain for A and B to coordinate an attack against army C. A suggests that A should send a message to B indicating a planned attack, contingent on receiving confirmation from B about their own attack timing. The conversation emphasizes the need for reliable communication between A and B before launching an attack, highlighting the uncertainty of the pigeon's successful delivery across the mountain. The participants are seeking further insights on how to effectively solve the problem while ensuring both armies are synchronized in their actions.
mathmari
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Hey! :o

I got stuck with the following exercise:

There are three armies A,B,C. Between the armies A and B there is a mountain. Only A and B together can beat the army C. A and B can only comminicate with a pigeon. But it is not sure that the pigeon gets to the other side of the mountain.
Which is the minimal number of times where the pigeon gets to the other side of the mountain??

Could you give me some hints what I am supposed t do?? (Wondering)
 
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mathmari said:
Hey! :o

I got stuck with the following exercise:

There are three armies A,B,C. Between the armies A and B there is a mountain. Only A and B together can beat the army C. A and B can only comminicate with a pigeon. But it is not sure that the pigeon gets to the other side of the mountain.
Which is the minimal number of times where the pigeon gets to the other side of the mountain??

Could you give me some hints what I am supposed t do?? (Wondering)

Hi! (Smile)

Before either A or B attacks they will both want to know for sure if and when the other attacks.
So A must have confirmation that B received his message.

Let's say that A starts by sending a pigeon to B, saying that A will attack tomorrow at noon, but only if he gets confirmation from B, that he will also attack at the same time. (Thinking)

How does this story continue? (Wondering)
 

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