Conference

You think it simple to make decisions at random ? I shall not elaborate on the difficulty of picking a random number of the human brain, but would rather show you another scenario:

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There are two medical schools in a city. Each of them holds an annual medical conference, which boosts up their grandiosity and is a major source of income.

By tradition and for practical reasons, they could have the event either in April or June. (There is the final examination in May.) The problem is: Which month is better ?

To give you a bit more details. If the two schools choose the same month, the number of delegates would be halved (let's say, 500 each) because you would hardly expect any doctor to attend both within that short a period of time. If one pick April and the other June, there is an edge of the former (as the old English sayings, the early bird catches the worm - or, at least, catches more worms), but both would do better than having their conferences clash (let's say, 1000 for the one picks April, 800 for June).

As you know, the two sides do not talk with each other, and they would only know the other's choice when it is announced - by that time it would be too late to change their own decision.

Then, which one should they choose ?