Diagram

[monicaiannacone]

I'm confused about what type of game this is and how to setup the diagram. Can you provide the diagram and some guidance as a starting point?

I thought it was closed assignment but then I didn't know how to start the setup.

Thanks!

[mlbrandow]

This is definitely a bit of an oddball game, but luckily once you set it up it kind of falls apart.



The setup above shows the possible combinations of Small, Medium and Large shirts. This is one of the very few games where I think identifying all the possible combinations of variables is highly useful.

(Note: the red markings indicate things you don't need to write, but can be helpful to include in your diagram if you are having trouble visualizing them. When I did this game, I did not write the red markings, but I did visualize them on my paper. The reason those two not-blocs are in red is because they are redundant due to the diagram.)

By rules 1 and 2, we know that there are no repeat combinations, which simplifies the game greatly. In fact, there are only seven possible combinations, and a further constraint (no small and large together).

In general, there are so many combinations that it's not worth doing frames or identifying all the possibilities. But here we only have two sets of three variables each, and the rules tell us that two of these nine combinations cannot even occur, leaving only seven to write out--a worthwhile endeavor.

It's important to note that like most games, this initial diagram identifies TOO MANY possibilities. But unlike most initial diagrams, this one identifies all of them. You're looking to eliminate possibilities by removing certain variables.

To elaborate, consider question 11. (I hyperlinked this explanation so as not to spoil it in case you want to rework the game before reading it):

Application of initial diagram to Question 11

I hope this helps and good luck!

[timmydoeslsat]

I completed this game with just this diagram:

R: _ M L
Y: S M L
B: S M _

And also remembered that S and L cannot both be chosen.

[demetri.blaisdell]

This is a cool game. Seems like you can do it either way. Most assignment games have an easy way and a hard way to arrange the elements. Do you think it's easier to assign colors to sizes or sizes to colors?

[monicaiannacone]

Honestly, both setups make sense and I tried both for the questions. It seems fine to just pick one setup and stick with that for the questions.

I don't see how to tell which setup is EASIER and which setup is HARDER.

Can I tell which is the correct (easier) setup? And how to tell that?

Thanks!

[timmydoeslsat]

Yeah this game can be done with equal effectiveness in either setup. This is due to both elements consisting of 3 variables. The size element is: SML and the color element is: RYB.

So in this case, you cannot go wrong either way.

[monicaiannacone]

Thanks! I was able to get 4/5 correct with the colors as the base- I guess it was just a bit easier for me to work through!