You'll have to explain these "6 months". Focussing on the US market; PS4 launched at $399 for the basic package and stayed that price until October 2015 when that package dropped to
$349. The Xbox One launched at $499 for the basic package, a Kinect-free package was launched in June 2014 for
$399 and cut again in November 2015 to
$349. Unfortunately for Microsoft they lost huge market share in the year plus it was more expensive than PS4 and inertia and traction did the rest. Like I said,
timing.