This paper studies the resource allocation problem based on agents’ opinions with possible delegation. In other words, any agent can report just some components of the allocation vector as his request. We describe symmetrical anonymous generalized median voter schemes supplemented with delegation procedures; they can be applied for solving the posed problem. Original Russian Text © V.N. Bondarik, N.A. Korgin, 2012, published in Problemy Upravleniya, 2012, No. 5, pp. 26–32. Первоначальный русский текст опубликован в журнале "Проблемы управления", №5, 2012, С. 26-32 и доступен по адресу http://pu.mtas.ru/upload/Bondarik.pdf