Intel is doing its business more successful than AMD. AMD is almost going bankrupt and has to sell its products very cheap. Was this the answer to your question
If the question is about which of these corporations offers the better processor, or the more powerful graphic chips:
For good single threading processing performance and bad graphic performance you would go with a Intel system, otherwise if you want to play advanced games you should prefer a AMD APU or graphiccard. For great multithreading performance AMD processor are more affordable than Intels.
You didn't ask about Nvidia, so a Intel+Nvidia combo is probably out of question.