Invented a Simple Game with potentially important connotations! Haven't got a name for it yet. Does anyone find this interesting, think it could be fruitful, or wants to come up with a name for it?

The game, so far, is this. You have two players, A, and B. They both secretly choose a number and reveal it at the same time. Player A chooses number X, Player B chooses number Y.

After both players reveal their numbers, they find the difference between the two numbers. That number can be called number Z.

If Z is closer to X than Y, player A wins.

If Z is closer to Y than X, player B wins.

It's an interesting game with potentially interesting results. One may graph out a proportion line with areas where X wins and X loses.

But what could it generate within the world of mathematics? For example, do we include Cantorian infinities or not? Do we limit the number to a billion?

And furthermore, the rules can be modified! In what ways could they be modified, like the modifications of tic-tac-toe, to be even more fruitful in mathematical discovery?

I'd like to know anything that comes to your mind. Thank you!

submitted by /u/theecstasyofnothing
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from math https://ift.tt/3cKbkvm https://ift.tt/eA8V8J