A bladder system (200, 1100, 1300) for an article of footwear (100, 1000, 1200), comprising: a sole structure (110, 1010, 1210) including an outer bladder (202, 1102, 1302) bounding an interior cavity (230, 1130, 1330) the interior cavity having a boundary surface that includes an upper layer and a lower layer, the sole structure having a forefoot portion, a heel portion, and a midfoot portion in between the forefoot portion and the heel portion; at least one tensile member disposed inside the interior cavity; a valve member (250, 1150, 1350) disposed inside the interior cavity and in the midfoot portion of the sole structure, the valve member providing fluid communication between the interior cavity and an exterior of the outer bladder and including a first surface that is forwardly oriented toward the forefoot portion, a generally flat second surface that is rearwardly oriented toward the heel portion, faces a forwardly-oriented sidewall of the at least one tensile member, and extends from the upper layer to the lower layer, a third surface that is on a medial side of the valve member, a fourth surface that is on the lateral side of the valve member, and a fifth surface that is a lower surface facing toward a bottom of the sole structure; wherein the internal pressure of the outer bladder can be adjusted; and wherein the first surface is contoured and is disposed against the upper layer in a portion of the outer bladder, the first surface provides a contoured shape for the portion of the outer bladder, and a height of the first surface tapers from the second surface to the fifth surface. a sole structure (110, 1010, 1210) including an outer bladder (202, 1102, 1302) bounding an interior cavity (230, 1130, 1330) the interior cavity having a boundary surface that includes an upper layer and a lower layer, the sole structure having a forefoot portion, a heel portion, and a midfoot portion in between the forefoot portion and the heel portion; at least one tensile member disposed inside the interior cavity; a valve member (250, 1150, 1350) disposed inside the interior cavity and in the midfoot portion of the sole structure, the valve member providing fluid communication between the interior cavity and an exterior of the outer bladder and including a first surface that is forwardly oriented toward the forefoot portion, a generally flat second surface that is rearwardly oriented toward the heel portion, faces a forwardly-oriented sidewall of the at least one tensile member, and extends from the upper layer to the lower layer, a third surface that is on a medial side of the valve member, a fourth surface that is on the lateral side of the valve member, and a fifth surface that is a lower surface facing toward a bottom of the sole structure; a first surface that is forwardly oriented toward the forefoot portion, a generally flat second surface that is rearwardly oriented toward the heel portion, faces a forwardly-oriented sidewall of the at least one tensile member, and extends from the upper layer to the lower layer, a third surface that is on a medial side of the valve member, a fourth surface that is on the lateral side of the valve member, and a fifth surface that is a lower surface facing toward a bottom of the sole structure; wherein the internal pressure of the outer bladder can be adjusted; and wherein the first surface is contoured and is disposed against the upper layer in a portion of the outer bladder, the first surface provides a contoured shape for the portion of the outer bladder, and a height of the first surface tapers from the second surface to the fifth surface.