Formula |
|
Where zi = ln(xi) |
|
where ε = inequality aversion (range from 0 to infinity) |
|
|
Approach for comparisons |
Relative to all those better off |
Relative to the average |
Relative to the average |
Relative to the average |
Relative to the average |
Relative to the average |
Method for aggregation |
Additive |
Weighted additive |
Weighted additive |
Weighted additive |
Weighted additive |
Weighted additive |
Principle of transfers? |
Y |
N (fails for transfers at high levels) |
N (fails for transfers at high levels) |
Y |
Y |
Y |
Subgroup decomposable in standard form? |
N (unless subgroups strictly ordered by income) |
N |
Y (within-group and between-group not independent) |
Y (although not strictly additive) |
Y |
Y |
Avoids value judgment about weights? |
N (in standard application; extended Gini can address) |
N |
N |
Y |
N |
N |
Conclusions |
Rejected as stand- alone indicator; potentially useful for sensitivity analyses |
Rejected |
Rejected |
Accepted |
Rejected as stand-alone indicator; useful in combination with other indicators |
Rejected as stand-alone indicator; useful in combination with other indicators |