Very interesting question, but my guess is that the answer is probably not exciting: the geochemistry of the Martian rocks may have great academic interest (like the Moon), but not much “practical” interest (like the Moon)–at least in terms of precious metals, gemstones, etc. Here’s my thinking:
First, what predicts what mineral phases will crystallize given the chemistry of the system? Thermodynamics (Phase Diagrams), which operates the same way on the Moon and Mars as it does on the Earth. For a fixed composition, what minerals crystallize depends (mostly) on the Temperature and Pressure of crystallization.
Second, what’s the chemistry of Mars like? Based on remote sensing, pathfinder, and meteorite data, it’s mostly mafic to intermediate volcanic rock (mostly basalt with some compositions evolved up to Fe-rich mafic andesite, nothing spectacular).
Third, what those data show are that: (1) the geology of Mars is–like the Moon and probably most asteroids–dominated by mafic (Fe and Mg rich, with <52 wt% SiO[sub]2[/sub]) rocks, and (2) these bodies have not really undergone extensive differentiation like the Earth has.
That last bit, chemical differentiation of the planet (which is broadly what I study), is why I think the answer is probably not an exciting one for future prospectors. Although the bulk composition of Mars may have gold abundances similar to Earth (a reasonable postulate), the geochemical differentiation processes responsible for concentrating those gold atoms into an economic deposit do not appear to have occurred. Why? Because Mars (again, like the Moon, Meteorites, etc.) lack “evolved” (felsic, e.g., granitic) rocks. (And, unsurprisingly, gold and silver deposits are mostly associated with these highly differentiated felsic rocks.) Gold, yes. Gold deposits, probably not.
That’s not to say that basalts are completely undifferentiated: what the Martian Prospector will find concentrated will be Fe-Mg minerals, and trace metals geochemically similar to these minerals (Co, Ni, Cr, Mn) crystallizing into mineral phases. I just doubt that those metals and minerals associated with more evolved rocks will be.
But I could be wrong.
Another thing to consider: an important differentiation process that operates primarily with very mafic (and very alkalic rocks) is liquid immiscibility. IF there is an extremely high concentration of sulfur in the system, then as the basaltic magma crystallizes, as separate, immiscible, sulfide liquid phase may form which would concentrate the chalcophile elements in the magma: Zn, Cu, Ag, Au, PGE, etc., from which would crystallzie metal-sulfide phases (sphalerite, cuprite, etc.) But again, you’d have to have a pretty good supply of gold in the magma system to begin with to make an economic deposit.