A preliminary theoretical examination of the targeted public distribution system in India

A theoretical model of targeting in the public distribution system is set out. In any system of targeting there could be inclusion and exclusion errors. These errors could be reduced by search by the state. The state aims to minimise the costs of food administration subject to keeping the magnitude of the exclusion error bounded. Targeting involves a consideration of the objective poverty level, the official poverty level and the targeted poverty level by the state. The targeted poverty level could be less than the official poverty level if the extent of search is not adequate. The objective poverty level is an increasing function of the above poverty line issue price of food due to exclusion errors, a decreasing function of the procurement price of food and by definition the below poverty line issue price of food. The instruments in the hands of the state are the official poverty level, the above poverty line issue price for food, the procurement price of food and the extent of search. The comparative static implications of the model are set out.