Hanabi.
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Its a great game. Very simple. Short. Easy to learn. Very well designed.
https://boardgamegeek.com/boardgame/98778/hanabiIt's a co-operative game which normally I don't like. I find most of them end up with one person playing and everyone else just moving their pieces. I also find most of them take the form of; go somewhere, do something. Which I find dull.
Hanabi is a card game. Everyone holds their cards facing away from them. On your turn you either play a card, discard, or give a clue. If you play a card out of order you get closer to blowing up. If you discard a card you need you can't get beyondvthat point.
The only clues you can give are number or color. If you tell someone that "this card is blue" for example you have to point at every blue card. Same for number.
I think it has a lot to teach about information theory. The only thing you can tell someone is "play or discard" but you have to use information about number and color to tell them that. I mean you can try to tell people other things but it just won't get through. Your servery limited vocabulary means, the meaning of the words you use flips. Sometimes telling some one, " this is a 1" means play it, sometimes it means discard it. They have to know which it is, and you have to know that they know.
Information decays. You could have told me "this is a 1" three turns ago, but do I remember?
Any way. Fun quick simple and small game. Every collection should have it.