Diagonal dominance and global stability

► Tatonnement dynamics can be either normalized or unnormalized. ► The three main conditions for global stability are gross substitutability, negative semi-definiteness, and diagonal dominance. ► The first two conditions yield global stability for both dynamics; the third is suitable only for normalized dynamics. ► A weakening of usual diagonal dominance yields global stability for non-normalized tatonnement. ► It is now known that all three conditions yield global stability for either dynamics.