Abul Naga, R.H. (2003). The Allocation of Benefits under Uncertainty: a Decision-Theoretic Framework. Economic Modeling, 20 (4): 873-893.

ABSTRACT

We consider the problem of targeting benefits when the decision-maker cannot ascertain an applicant's income, but can assign probabilities with respect to the level of his resources. A decision-theoretic framework is used to analyze the decision to grant a benefit of fixed size. The proposed rule consists in balancing the expected social cost of denying assistance to the needy (type-I error) against that of granting a benefit to a non-poor (type-II error). Thus, when the costs of type-I errors are on the rise, or those of type-II errors fall, it becomes more desirable to increase population coverage of the programme.
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