Overall, the advantages and disadvantages of AMD and Intel processors varies depending on what the consumer is looking for, although in a broad sense, AMD can be a better budget choice, while Intel processors are slightly faster while being a little more expensive. That said, both companies offer a variety of processors with different price ranges and capabilities.
Intel processors are well known for their power, and do make a good choice if sheer processing speed is essential. That said, AMD remains competitive, and as they are often cheaper, it can be worth spending time understanding how specific programs and systems might make use of a new processor.
Gaming, for example, does often require a high level processor, but as multi-core support is much more common, along with overclocking, Intel can end up being the more expensive choice. A number of AMD processors, for example, can achieve the same results for much less cost, especially once multiple cores and overclocking is taken into account.
AMD also incorporates Kaveri chips, which can significantly increase performance, especially in terms of handling multiple tasks.
Overall, Intel offers the slightly more expensive but powerful option, while AMD processors are more versatile and cheaper, but not always on par with Intel processors.