If you are going to retain the Olympics house them permanently in Greece, where the whole idea started. Particularly the summer Olympics, my impression and it may be false is the winter Olympics is less of a financial problem. By housing them in Greece you retain the history, you only need to build and maintain one set of facilities.
I agree with you. Permanently in Greece. They can use it too.
Agree as well. Move the games to Greece and keep them there.