1. Suppose that Sony believes that acceptance rate is 50%, and Philips
knows Sony’s belief with certainty. Philips still believes that the
acceptance rate is 5%, but Sony assumes that Philips believes that the
acceptance rate is 50%. When will each of the players invest (if at
all)? Explain your answer.
2. A Philips employee approached Sony’s vice president for research
and development and offered to provide Sony with Philips’s estimates
of the acceptance rate. Assuming that Sony is not likely to change
their own estimates of the acceptance rate, what is the value of this
information?
The Phillips case
Do you think Phillips should invest in 1983 or in 1984?
Suppose Phillips decides not to invest in 1983.
Suppose also that Phillips observes that popular buyers accept quickly.
What should Philips do in 1984?
Second period analysis: Philips
In this case Phillips should invest.
Notice that 2310 > 938 and 4579 > 1603
Capacity and flexibility
Second period analysis: Philips
The situation is simpler. We now need to consider only the following
information
Sony
Second period analysis: Sony
What should Sony do?
Assuming that Sony does not know the state of the market, and assumes 5%
quick acceptance and 95% slow acceptance.
Sony compares: 0.05*1207 + 0.95*(-95) = -30 with 0.05*563 + 0.95*0 = 28
It is clear that Sony should not build in 1984
First period analysis: Phillips
Knowing that Sony will not invest in 1984, what should Phillips do?
Assuming Phillips invests in the first year then the expected profit is:
0.05*4585 + 0.95*533 = 736
Assuming Phillips invests in the second year then the expected profit
is:
0.05*4579 + 0.95*546 = 748
Clearly Phillips Should invest on the second year
A second scenario: Fast acceptance
Let us assume a different scenario in which Sony and Phillips believe
that the probability of fast acceptance is 50%.
What will change in our analysis?
On the second period if Phillips observes quickly acceptance they will
invest. (as before)
Sony compares: 0.5*1207 + 0.5*(-95) = 556 with 0.5*563 + 0.5*0 = 281.5
It is clear that Sony should build in 1984. (unlike before)
Knowing that Sony will invest in 1984, what should Phillips do?
Assuming Phillips invests in the first year then the expected profit is:
0.5*4585 + 0.5*533 = 2559
Assuming Phillips invests in the second year then the expected profit
is:
0.5*2310 + 0.5*422 = 1366
Clearly, Phillips Should invest on the first year
A third scenario: Information sharing
The value of flexibility was reduced.
Notice, in the above two examples we assumed that Phillips is able to
observe the real demand but Sony is unable to do the same.
What happens if Sony gets the same information as Phillips.
In analyzing this situation we assume that the probability of fast
acceptance is 0.05
Assuming that Phillips does not build in 1983, it is clear that both
Phillips and Sony will build in 1984.
What should Phillips do?
Assuming Phillips invests in the first year then the expected profit is:
0.05*4585 + 0.95*533 = 736
Assuming Phillips invests in the second year then the expected profit
is:
0.05*2310 + 0.95*422 = 516
It is clear that Phillips should invest in the first period.
A fourth scenario: Some information sharing
Do we know whether Sony will get the information?
Suppose we assume that the chance that Sony will get the information is
10% what should Phillips do?
As before, If Phillips does not invest in 1983 and acceptance is fast,
then Phillips invests in 1984.
Phillips does not know whether Sony got the information. So, Phillips
expected profit is:
0.1*(2310*0.05+0.95*422)+0.9*(0.05*4578+0.95*546)=724
If Phillips invests in 1983 the profit is 736
Clearly Phillips should invest in the first period.
End of the story
Phillips did not invest in the pressing facility in 1983. It assumed
that the rate of acceptance will be low.
Sony built a small facility with the capacity of 3.5m (1984)
At the end of 1985 Sony had capacity of 12m
In 1987 it had the capacity of 26.4m
In 1987 Phillips open its first facility with capacity of 12m-15m
Lessons to learn
What were the uncertainties that Phillips faced?
Acceptance rates
Sony knowledge about the acceptance rates
What was the approach Phillips took?
A single probability for the speed of acceptance (5%)
A single probability for Sony’s knowledge of the acceptance rate (0%)
Future profits, single numbers
How accurate these number can be?
Past data and experience tell us that these numbers can’t be very
accurate.
How robust is Phillips strategy of not investing?
Our calculations show that it is not robust at all.
What are the results?
A non-robust forecast. We have seen that small changes in the
assumptions will result in a major shift in the policy.
What should Phillips have done?
Create three to four scenarios:
The present scenario
A scenario that assumes that Sony gets the information with a small
probability, and acceptance rate is small
A scenario in which Sony gets the information and acceptance rate is
high
What will a robust policy in this case be?
Invest in the first period.
Popular Buyers accept quickly
P. builds in 1984
P. does not build in 1984
Sony
Builds in 1984
2310 1207
938 3295
Does not build in 1984
4579 563
1603 1423
quickly Slowly
P. builds in 1984
Sony
Builds in 1984
2310 1207
422 -95
Does not build in 1984
4579 563
546 0
Popular Buyers accept quickly
P. builds in 1984
P. does not build in 1984
Sony
Builds in 1984
2310 1207
938 3295
Does not build in 1984
4579 563
1603 1423
