Abstract: A method and apparatus for continuously settling multi-sided competition for allocation of multi-attribute time-variable resources whose value that change over time or which expire if not allocated prior to a predetermined time, comprises applying a time-dependent cost optimization function to current and subsequent settlement periods. The invention is applicable to diverse fields, such as allocating professionals' time, competitive selling of perishable goods, allocating production capacity, and committing media space. The invention is useful in such fields as construction, information technology services, selling of perishable foods, production of electronic circuit boards, and selling of television advertisements.