Decomposition Procedures for Distributional Analysis¶
Shorrocks, A. F. (2013). Decomposition Procedures for Distributional Analysis: A Unified Framework Based on the Shapley Value. Journal of Economic Inequality, 11(1), 99-126.
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Mechanisms¶
- Translation-Effect Decomposition
- Its failure mode is the non-uniqueness of attribution: when several factors move at once, the cross-effect between them can be assigned to different buckets depending on the order and index formula, so the reported shares depend partly on a convention rather than on nature.
This sourceShows that multifactor decomposition is order- and rule-dependent and uses Shapley averaging to allocate interaction effects by convention.
- Its failure mode is the non-uniqueness of attribution: when several factors move at once, the cross-effect between them can be assigned to different buckets depending on the order and index formula, so the reported shares depend partly on a convention rather than on nature.
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