A data processing system (X) is adapted to confront an offer (O) and a demand (D), in particular in the field of transportation of travelers or goods. The system (X) receives requests corresponding to new offers/demands, formulated by users (C.sub.X) of the data processing system and data corresponding to offers/demands not yet satisfied from a plurality of secondary data processing servers (A, B, C, E) themselves adapted to confront an offer and a demand. After receiving a request corresponding to a new offer/demand formulated by a user (C.sub.X) of the data processing system (X), the system (X) verifies if there is an offer/demand (O.sub.A, D.sub.A, O.sub.B, D.sub.B, O.sub.C, O.sub.B, D.sub.B) not yet satisfied, received from a secondary data processing server (A, B, C, E) or transmitted previously by a user of the data processing system, that can respond to the request. If not, the system (X) stores the request in the data processing system and/or sends data corresponding to the new request to at least one of the secondary data processing servers (A, B, C, E) to enable confrontation with an offer/demand responding to the new request received subsequently by the secondary data processing server (A, B, C, E).