Food in Egypt

Genesis 41:53-54 - The seven years of abundance in Egypt came to an end, and the seven years of famine began, just as Joseph had said. There was famine in all the other lands, but in the whole land of Egypt there was food.

Perhaps the reason the Egyptians didn't tell anyone else during the 7 years of plenty why they were storing up so much food was because they wanted to be in a position of power for the following 7 years and even beyond. I wonder though that no one from the other lands noticed what Egypt was doing or was curious as to why they were doing it.

Word must have passed along the grapevine at some point during the 7 years. You can't keep that kind of thing secret forever. Even if Pharaoh and Joseph never really made a public announcement as to why they were making a sudden change in economic policy, someone surely would have leaked the information to "the press" or would simply have correctly guessed what was going on. Joseph's rags to riches story in itself certainly would have made some people wonder what was coming next.

So why didn't anyone else outside of Egypt store up food for the coming years of famine?