a couple of comments from someone who deals in a variety of powers over a variety of frequencies: (dc to microwave, nanoamps to >30kamps)
a)the gauge system of wire is such that, for low frequency or DC service, a given size of stranded wire is equal in initial bulk ampacity to the same gauge number of solid wire. However, as the effects of age, abuse and heat make themselves felt, solid wire wins hands down for current carrying capacity after about 3 years. almost without exception, apparatus that has solid conductors shows little or no age effects on tear-down, even after 10 or more years of service and neglect.
b) what looks like a solid mechanical and electrical joint on stranded wire is often anything but. this is frequently the case with plugs and recepticles, (even ones that are designed for stranded wire) and can lead to heating, insulation failure and (potentially) fires, not to mention the effects on efficiency. this usually manifests after time has had a chance to work its oxidation magic on an otherwise secure joint. tinning up the strands into a solid mass often prevents such problems. Properly crimped, the permanant compression-type connections seem to work well also, but screw-down connections on as-stripped stranded connectors are usually the culprits in intermittants and unreliablity.
c)initial connections in stranded wire often show advantages in resistance, because the conductors form themselves to the connection, giving more surface area contact. this same phenonenon makes the stranded connection nothing so much as a wick for moisture and contaminants. . . stranded copper, heat and humidity = rapid corrosion. I have removed 2/0 stranded cable from service indoors and had it literally crumble to green dust in my hands once I pulled it out of its clamps. once the end of a piece of stranded cable has gotten damp, it seems like only a matter of time before it fails due to corrosion.
-Dan
(just my 20 millidollars)