Table 8 Initial revenue allocation for the three roles.
Role \(i\) | The original data collectors (1) | The data processors (2) | The data product producers (3) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
s | {1} | {1,2} | {1,3} | {1,2,3} | {2} | {1,2} | {2,3} | {1,2,3} | {3} | {1,3} | {2,3} | {1,2,3} |
\(v(s)\) | 30 | 42 | 66 | 96 | 0 | 42 | 0 | 96 | 0 | 66 | 0 | 96 |
\(v(s\backslash i)\) | 0 | 0 | 0 | 0 | 0 | 30 | 0 | 66 | 0 | 30 | 0 | 42 |
\(v(s) - v(s\backslash i)\) | 30 | 42 | 66 | 96 | 0 | 12 | 0 | 30 | 0 | 36 | 0 | 54 |
\(\left| s \right|\) | 1 | 2 | 2 | 3 | 1 | 2 | 2 | 3 | 1 | 2 | 2 | 3 |
\(w(\left| s \right|)\) | \(1/3\) | \(1/6\) | \(1/6\) | \(1/3\) | \(1/3\) | \(1/6\) | \(1/6\) | \(1/3\) | \(1/3\) | \(1/6\) | \(1/6\) | \(1/3\) |
\(w(\left| s \right|)[v(s) - v(s\backslash i)]\) | 10 | 7 | 11 | 32 | 0 | 2 | 0 | 10 | 0 | 6 | 0 | 18 |
\(\varphi_{i} (v)\) | 60 | 12 | 24 | |||||||||
