turkey3_scratch :
Let's just say if AMD was to go out of business, what would happen then? How would Intel react then? Would anti-trust get involved? These are questions we can speculate about.
There might be a slight disturbance in the force but aside from that, nothing would happen: AMD has almost no market share left to speak of for CPUs and Intel has plenty of mostly better chips to pick up that slack, albeit at higher price points.
On the GPU side, ATI might get sold as a whole during liquidation assuming Microsoft or someone else with a significant vested interest in x86 does not buy AMD as a whole - this should be a licensing issue since the x86 license is still attached to AMD as a wholly-owned subsidiary or something else of the sort.
Not much would happen from Intel since their chips are already priced just about as high as the market can bear. With 5+ years old CPUs being more competitive with current CPUs than ever before, Intel is in a situation where it cannot quit doing R&D on new chips just because AMD is gone because they need to give people a reason to upgrade their systems. Unless Intel increases the pace, we may end up in a situation where Sandy Bridge may still be considered viable competition against Intel's 2020 lineup, which is not going to do Intel's sales much good.
Anti-trust wise, there is absolutely nothing to do here: anti-trust is about acquiring a dominant market share through questionable business practices. Here, AMD is falling victim to falling computer sales, failing to catch up with Intel on performance, mass adoption of ARM-based mobile and portable computing devices, etc. Even Intel is suffering from falling sales because of those factors and how slowly their own chips' performance is progressing.
If you want something to keep Intel in check, cross your fingers for ARM to become a credible threat. Before that can happen though, Android and Windows Mobile will need to reclaim more of their desktop roots.