Q205. 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.

Use the two random number tables below (the left table for doing a Monte Carlo simulation of whether interaction occurs and the left table to determine which agent is the leader and which is the follower) to work out the next state n the grid below, determine the probability of interaction between each pair of neighbors (assume no diagonal interaction for now)

69 72 43 97 87 0 0 0 1 1
37 86 35 23 41 1 1 0 0 1
88 36 94 60 60 1 1 1 0 0
84 26 3 87 12 0 0 1 1 0
8 10 56 52 29 1 1 1 0 0
26 5 30 15 58 0 1 1 1 1
95 3 95 18 69 0 0 1 0 0
71 42 55 64 21 0 0 1 1 0
68 75 90 19 64 0 0 1 1 0
75 13 77 1 89 0 0 0 0 0
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