On any given day Mahbub is either jolly (J), so-so (S), or glum(G). If he is jolly today, then he will be J, S, or G tomorrow with respective probabilities 0.6, 0.3, 0.1. If he is feeling so-so today, then he will be J, S, or G tomorrow with probabilities 0.3, 0.4, 0.3. If he is glum today, then he will be J, S, or G tomorrow with probabilities 0.2, 0.3, 0.5. If today is Saturday and Mahbub is glum (G) today, what is the probability that he will be so-so(S) on Tuesday?
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(a) Construct the one-step transition matrix for the Markov chain
X
n
=
strategy employed at
the
n
th stage of a negotiation, assuming the states are
(
1
)
cooperative and
(
2
)
competitive.
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