Representing Customer Loyalty and Transfer With Matrices

Three companies A, B and C shared a fixed number of companies. Customers switch companies, as shown in the table.

Start Month 1		Gains			Losses			Start Month 2
		From	From	From	To	To	To
Company	Customers	A	B	C	A	B	C	Customers
A	200	0	35	25	0	20	20	220
B	500	20	0	20	35	0	15	490
c	300	20	15	0	25	20	0	290

In moth 1 A, loses 20 customers to B and 20 to C, B loses 35 to A and 15 to C, and C25 to A and 20 to B. The table below shows the probability of gaining (or retaining) customers

	A	B	C
A	0.8	0.1	0.1
B	0.07	0.9	0.03
C	0.083	0.067	0.85

The equilibrium market share will the solution to  ,
The solution is