Please solve the following game: Assume that a total $100 grant will be shared by the three researchers, X, Y, and Z. Each person is rational and...

2.    Please solve the following game:

Assume that a total $100 grant will be shared by the three researchers, X, Y, and Z. Each person is rational and selfish. There are six proposals with different shares of (X, Y, Z) for choices as the following.