Table 15-2 The Following Data Consists of a Matrix of Transition Probabilities

Multiple Choice

Table 15-2
The following data consists of a matrix of transition probabilities (P) of three competing retailers, the initial market share π(0) . Assume that each state represents a retailer (Retailer 1, Retailer 2, Retailer 3, respectively) and the transition probabilities represent changes from one month to the next.
P = π(0) = (0.3, 0.6, 0.1)
-Using the data given in Table 15-2, find the market shares for the three retailers in month 2.

A) π(2) = (0.30, 0.60, 0.10)
B) π(2) = (0.55, 0.33, 0.12)
C) π(2) = (0.44, 0.43, 0.12
D) π(2) = (0.55, 0.12, 0.33)
E) π(2) = (0.47, 0.40, 0.13)