In an aspect, a tire for use with a single wheel, self-balancing vehicle is provided. The tire has a tire body with a tread configured for engagement with a ground surface. The tread has a lateral profile having a central region, a first lateral region tapering towards a first lateral side of the tire, and a second lateral region tapering towards a second lateral side of the tire. The lateral profile is substantially free of discontinuity. The tread has a non-directional tread groove arrangement that is asymmetrical about a central circumference line of the tire. The tire has a hardness selected to substantially prevent deformation of the first profile and the second profile during riding by a rider.