Okay. Games without chance a little short one
on 1b. Loopy games.
Now, there's a famous comedy skit, about argument.
And these two people sit down and they have an argument, and one person says,
look argument is not just about contradicting one another.
And the other person says yes it is, no it is, yes it is, no it is, yes it is.
This is the example of famous loopy game that children like to play.
Although I wouldn't encourage them all that much and its call TIS TISN'T, now in
this game in loopy game. We represent the, where we are by nodes,
and these two nodes are called tis and tisn't.
And the blue player can move from tisn't to tis, and the red player can move from
tis to tisn't. And, yes it is; no it isn't; yes it is;
not it isn't; yes it it; no it isn't, yes, and this goes on for, you know as
long as they want to play, it's kind of fun.
here's a more more adult game you can play that's, that's loopy or possibly
loopy. It's called fair shares and varied pairs.
So what we have is a bunch of beans, or counters, I'm using quarters in this case
on the table in various heaps. Now what can happen is, is there are two
kinds of moves. You can take a heap of quarters and
divide it into say two heaps of equal size or maybe four heaps of equal size.
But in any case you could take any group of, any heap of quarters and divide it up
into any number of heaps as long as they're the same size.
That's called the fair shares part. The varied pairs part is you can take two
heaps, as long as they have a different number, and combine them into a single
heap. Now because, we can combine heaps and
separate heaps out. There's a possibility, a real possibility
that the game loops on forever. However, this is a really fun game to
play at, at parties. Try with almonds, or, or walnuts.
Or if you're in the South, try with pecans or pecans.
I never knew which way to say it. in any case and then of course the first
player who can't move loses. And the losing position is all heaps of
one. There you can't separate them all out.
And you can't combine them because they're all equal.
And so this is the losing position who ever gets who ever's.
Presented with this position here looses because there's no possible moves.
So here's little about loopy moves and we'll be back in a few minutes with a
little bit about Sente Gote.