A block copolymer composition comprising: (i) a block copolymer of the formula S-B1-B2 or S-B4 wherein S is a monovinylaromatic hydrocarbon block having a peak molecular weight from 10,000 to 25,000, B1 is a polybutadiene block having a vinyl content of less than 15 mol percent, B2 is a polybutadiene block having a vinyl content of greater than 25 mol percent, wherein the weight ratio of B1 to B2 is greater than or equal to 1:1, wherein B4 is a polybutadiene block having a vinyl content that tapers from a vinyl content of less than 15 mol percent at the first end adjacent to the monovinylaromatic block to a vinyl content that is greater than 25 mol percent at the second end which is furthest from the monovinylaromatic block, wherein the S-B1-B2 block copolymer has a peak molecular weight from 40,000 to 200,000, and wherein the S-B4 block copolymer has a peak molecular weight from about 40,000 to 200,000; and (ii) one or more block copolymers of the formula (S-B1-B2)nX or (S-B4)nX, wherein each S is a monovinylaromatic hydrocarbon block having a peak molecular weight from 10,000 to 25,000, each B1 is a polybutadiene block having a vinyl content of less than 15 mol percent, each B2 is a polybutadiene block having a vinyl content of greater than 25 mol percent, each B4 is a polybutadiene block having a vinyl content that tapers from a vinyl content of less than 15 mol percent at the first end adjacent to the monovinylaromatic block to a vinyl content that is greater than 25 mol percent at the second end which is furthest from the monovinylaromatic block, n is an integer from 2 to 6 and X is the residue of a coupling agent, wherein the weight ratio of B1 to B2 is greater than or equal to 1:1, wherein the (S-B1-B2)nX and the (S-B4)nX block copolymer have a peak molecular weight that is from 1.5 to 6.0 times the peak molecular weight of respective the S-B1-B2 and the S-B4 block copolymer, and wherein the ratio of S-B1-B2 to (S-B1-B2)nX or the ratio of S- and (S-B4)nX is greater than 1:1. (i) a block copolymer of the formula S-B1-B2 or S-B4 wherein S is a monovinylaromatic hydrocarbon block having a peak molecular weight from 10,000 to 25,000, B1 is a polybutadiene block having a vinyl content of less than 15 mol percent, B2 is a polybutadiene block having a vinyl content of greater than 25 mol percent, wherein the weight ratio of B1 to B2 is greater than or equal to 1:1, wherein B4 is a polybutadiene block having a vinyl content that tapers from a vinyl content of less than 15 mol percent at the first end adjacent to the monovinylaromatic block to a vinyl content that is greater than 25 mol percent at the second end which is furthest from the monovinylaromatic block, wherein the S-B1-B2 block copolymer has a peak molecular weight from 40,000 to 200,000, and wherein the S-B4 block copolymer has a peak molecular weight from about 40,000 to 200,000; and (ii) one or more block copolymers of the formula (S-B1-B2)nX or (S-B4)nX, wherein each S is a monovinylaromatic hydrocarbon block having a peak molecular weight from 10,000 to 25,000, each B1 is a polybutadiene block having a vinyl content of less than 15 mol percent, each B2 is a polybutadiene block having a vinyl content of greater than 25 mol percent, each B4 is a polybutadiene block having a vinyl content that tapers from a vinyl content of less than 15 mol percent at the first end adjacent to the monovinylaromatic block to a vinyl content that is greater than 25 mol percent at the second end which is furthest from the monovinylaromatic block, n is an integer from 2 to 6 and X is the residue of a coupling agent, wherein the weight ratio of B1 to B2 is greater than or equal to 1:1, wherein the (S-B1-B2)nX and the (S-B4)nX block copolymer have a peak molecular weight that is from 1.5 to 6.0 times the peak molecular weight of respective the S-B1-B2 and the S-B4 block copolymer, and