What makes you think AMD's share will be far bigger?  I think it will be the opposite.   They are providing both a GPU and CPU HOWEVER they've likely had to offer cut-rate margins to accomplish it.   I mean, again remember, Intel DID have the tech that AMD does, they just backed off.  Nvdia saw about 500,000 revneue total from the PS3.

Also remember, that same shitty management more or less is who approved the revnue deals.

http://www.trefis.com/stock/amd/articles/188123/amds-surge-on-game-console-wins-looks-overdone/2013-05-23

In general too it's more an issue of what the whole thing represents, which is AMD essentially trying to go where they think intel doesn't want to be.  That's more or less what their whole APU line is about.

Another way to look at it is AMD will compete against Intel where Intel is at it's weakest, Intels "Decelerator" graphics have been the bane of PC gaming for decades, nothing has changed in that regard with Ivy Bridge/Haswell graphics either.
Still relatively poor Drivers, Image quality and performance.

Another example was the on-die memory controller and 64bit support that AMD adopted early into the Opteron, which ended up being massive a boon in the server space. - Because that's where Intel was at it's weakest at that time and AMD profited big time out of that.
It would probably make sense for a company like AMD to target Intels weakness's, they can have the largest possible impact with minimal resources spent.

Obviously AMD had to make a very good offer, even more obviously it probably had to cut its margins even more when NVidia competed for the same market. Even a small margin, though, can help AMD fund the production of its low cost lines, where mass production is of the essence to drive costs down. About AMD trying to go where they think intel doesn't want to be, not having intel's huge cash it's a mandatory strategy: intel used all its influence to stop AMD growth in PC market even during those 6 years when AMD desktop chips regularly outperformed intel's ones and when Pentiums were seriously bugged and some intel chipsets bugged or flawed or deliberately gimped (the latter happened when intel was betting on Rambus memory with i820 and i840 chipsets, offering for a while very shitty i810 alternatives based on normal RAM), gathering all that intel doesn't want isn't a bad strategy, but to make it work the company must be more frugal, keeping every cost that isn't essential down: even good deals cannot be enough if they insist on keeping luxury habits they can't afford. About this particular issue, most western managemers should learn a thing or two from Japanese ones, but also, staying in the West, from prudent tycoons like Warren Buffett.