0204

**Q204.** Suppose the agents in a population have four behaviors - W, X, Y, Z - and that each behavior is either present or absent. When two agents meet they may have all the same behaviors, none of the same behaviors, or 1 or 2 behaviors in common. Suppose the probability of interaction is proportional to their similarity. IF they do interact, they flip a coin and who ever wins gets imitated by the other agent.

In the grid below, determine the probability of interaction between each pair of neighbors (assume no diagonal interaction for now)

A 1110 |
B 1010 |
C 0010 |
D 1001 |

E 0000 |
F 1111 |
G 1001 |
H 1011 |

I 1000 |
J 1000 |
K 1110 |
L 0000 |

M 0010 |
N 1100 |
O 0100 |
P 0111 |