<font color='#000000'>This is a loaded question as there is much controversy over this very issue. Some begin to use terms like "strand jumping" to identify issues that are said to be inherent with stranded cable. While strand jumping does exist to some extent, it does not create diode rectification issues for audio or video claimed by some exotic cable vendors and is therefore a bogus claim.
Solid core wire does not necessarily improve performance. It can increase the area of the cable, but if you use a proper guage stranded conductor, the difference in resistance values based on area is negligible. The other problem with solid core wire is its stiffness. By using solid coax, it will be challenging to back your DVD player/receiver TV up to the wall, cabinet or rack.
What's probably more important than stranded or solid conductors, is shielding and termination. Shielding is important in longer cables, say over 20-feet, as it will prevent EMI. Termination is critical in all cables as poor solder joints or crimps will increase resistance and can degrade the signal.
For more information on Component Video Cables, check out my detailed article:
Component Video Cables</font>