by interestedintacos Sun Jan 30, 2011 6:46 pm
I agree with you. I didn't mean to imply we would set that game up the same way if we took out the linear element. It's obvious why the way you just showed would be better.
If the order aspect is relevant we'll want to set up the 1-5 variable set on the bottom in a linear/horizontal fashion. If it's not relevant then it makes sense to use a vertical open or closed board diagram (depending on the game).
On page 214 of the MLSAT logic game strategy guide, it shows a 3 variable set supposedly open assignment game diagram--which is set up with a number variable set as the base. In that game one of the variable sets is days (1-3), but it leaves open whether the game will feature any sequencing rules. It says the game is an open assignment game.
I think from what you're saying that game is actually an advanced linear (3d linear?) game (or a combo of assignment and linear), like the car wash one, if the days variable set is actually relevant based on the rules. So that would appear to be an error in the book.
Now that I look again at the bread game I wouldn't use the 1-6 variable set as the base, because the order is irrelevant. That page in the MLSAT guide misled me, I think.
I would instead make an open board diagram with O, R and W as the base and U or O as the variables to be assigned, keeping in mind that we actually don't have to assign a single U or O to every one of O, R and W (although the open board diagram gives you the tools to represent that). Clearly it's a difficult one because the the variable set with U and O allows repeats or omissions, and the groups of O, R and W are fairly wide open as to how many they can have (although R is limited to 3 and we know O has at least one).
I still think advanced linear can be seen as a sort of hybrid between assignment and linear.
What's interesting and a little overwhelming is the diversity of hybrid games the testmakers could throw at you. A combo of assignment and ordering could take many different forms. On top of that I can imagine some situations where there might be a fine line of how best to represent a game, or even where a few questions could require a completely different representation in order to make the necessary inferences (although I haven't run into a game like this yet). Or there could be a situation where you would have to read the prompt, rules AND the questions in order to figure out how to represent the game.
An example of variety: the game where you group a set of variables into one of two groups: tennis or golf, and then you also rank them, but the order is for each category; ordering the two categories together would be meaningless. The two sets of rankings are independent from each other, so it doesn't make sense to set up a typical advanced linear diagram (or any other sort of grouping+linear diagram). Instead it makes sense to use a normal binary grouping diagram and then a normal ordering diagram as two separate diagrams. All it would take is a tiny bit of trickery by the testmakers (which they didn't use in that game) to throw you off.
Any thoughts on how to handle this?