 Bruss–Duerinckx theorem

The Bruss–Duerinckx theorem is a result in the field of probability theory and mathematical finance, specifically related to the pricing and replication of contingent claims in incomplete markets. It presents conditions under which a contingent claim can be obtained as the limit of portfolios in a given financial market. The theorem states that if a financial market is incomplete, then under certain conditions, there exists an equivalent martingale measure (a probability measure that allows for the pricing of contingent claims).