Xbox marketing and strategy chief, Yusuf Mehdi, intends to fully support the XB360 until 2016
http://www.eurogamer.net/articles/2013-09-04-microsoft-xbox-360-will-last-three-more-years
As for the PS3, Sony has promised to have a 10 year life cycle. In order to keep that promise to all countries (some that didn't get it on launch day) I presume it will last until 2017 to give a similar 11 year life cycle like the XB360.







