by aileenann Fri Jun 10, 2011 3:36 pm
I think there are a few ways to diagram this, but I would have diagrammed it as an open assignment game, with the three bills each having three slots and then narrowing it down from there. Then I would put a town council member in a slot when that member voted for the bill, and would not put the member into a slot if the member voted against that specific bill.
By doing it this way, we can easily add the new constraint that Q23 imposes, which is specifically that two out of three of the members are missing from exactly the same bill or bills. Notice that if they are missing from the same bills they also have to be present at the same bills. So this is another way of saying two of the members have to be identical.
Does that help? If you tell me how you chose to diagram it, we can also think about how to work through it with whatever diagramming system you used.