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
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