Brett |
Mike |
|
Standalone |
37.5 |
12.5 |
Incremental (Brett primary) |
45 |
5 |
Incremental (mike primary) |
35 |
15 |
Shapley value |
40 |
10 |
Brett = 45/(15+45) * 50 = $ 37.5
Mike = 15/(15+45) * 50 = $ 12.5
Assuming Brett is primary user and Mike is incremental user
User |
Costs allocated |
Cumulative costs allocated |
Brett |
45 |
45 |
Mike |
50-45 = 5 |
50 |
Total |
50 |
Assuming Mike is primary user and Bret is incremental user
User |
Costs allocated |
Cumulative costs allocated |
Mike |
15 |
15 |
Brett |
50-15 = 35 |
50 |
Total |
50 |
The incremental cost allocation method creates dispute in ranking. IN the second case, Brett only pays 35 despite having the largest use.
User |
Costs allocated |
Brett |
(45+35)/2 = 40 |
Mike |
(5+15)/2 = 10 |
Total |
50 |
Note that costs allocated here is average of two methods as done in requirement b.
The shapley value shall be recommended because it considers fairer approach by avoiding one user as primary user and other user as incremental user. It also takes more comprehensive approach than stand-alone method by allocating the costs near to the actual costs had they not bundled the services.
kindly upvote
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