Composition, Securement, and Concede-and-divide

Concede-and-divide is a widely accepted procedure to solve the problem of adjudicating two conflicting claims. In this paper we show that this procedure can be characterized by combining three standard properties in the literature: self-duality, lower securement, and restricted composition up. We also show that self-duality can be replaced by the dual properties of lower securement and restricted composition up and that both characterization results are tight.