  We study the double-winding Wilson loops in the SU(N) Yang-Mills theory on
the lattice. We discuss how the area law falloff of the double-winding Wilson
loop average is modified by changing the enclosing contours C1 and C2 for
various values of the number of color N. By using the strong coupling
expansion, we evaluate the double-winding Wilson loop average in the lattice
SU(N) Yang-Mills theory. Moreover, we compute the double-winding Wilson loop
average by lattice Monte Carlo simulations for SU(2) and SU(3). We further
discuss the results from the viewpoint of the Non-Abelian Stokes theorem in the
higher representations.
