On pavement, a tire being narrow usually isn't much of an issue for grip. But, by using lower pressures, a wide tire can be a bit more consistent: it's less prone to small surface variations because it distributes its contact across a wider area, and in rougher spots it's less prone to chattering.

The compound of the tire significantly affects paved grip. Most good racing tires are pretty grippy, as are all-weather tires such as the Continental Grand Prix 4 Season.