Disclosed herein are system, method, and computer program product embodiments for pooling requirements, such as placing of multiple purchase orders, while preserving the privacy of the requirements provided by requesters placing the orders. The approach involves receiving first encrypted information comprising a first request from a first client and second encrypted information comprising a second request from a second client. An encrypted intersection result of the first request and the second request can then be calculated using the first encrypted information and the second encrypted information, in their encrypted form without the need to decrypt either.