Group Games Questions - - Question 13

Which one of the following could be true?

kassidee February 12, 2020

Setting up game

In setting up this game couldn't we also make an inference that kp must go together and msp not just ms? Please clarify why/why not

Reply
Create a free account to read and take part in forum discussions.

Already have an account? log in

Skylar February 13, 2020

@kassidee, happy to help!

We cannot make that deduction, as it is not necessarily true.

We can deduce that M and S will always go together because we have each of the following statements:
M(g) -> S(g)
S(t) -> M(t)
M(t) -> S(t)
S(g) -> M(g)
Notice how the Sufficient condition accounts for every possible position (M(g), M(t), S(g), S(t)). This is key in allowing us to say that M and S must always go together.

This relationship is different than that of the examples you mention. For example, all we know about the relationship between P and K is as follows:
P(t) -> K(t)
K(g) -> P(g)
We know nothing about what would happen if P(g) or K(t) were the Sufficient condition. Therefore, it could be possible to have P play golf while K plays tennis, which means they would not always go together.

We see the same issue with M and P. We only know:
M(g) -> P(g)
P(t) -> M(t)
However, we do not have statements where M(t) and P(g) are in the Sufficient condition, so not all positions are accounted for. M could play tennis while P plays golf, in which case they would not be together.

Does that make sense? Please let us know if you have any other questions!