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Tamron said:
logic suggests it wont. eg, if the consoles were at 5m and 8m (just to make life easier), and sold roughly the same: 5m 8m (half is 4m, xbox 1m away from being half) 6m 9m (half is 4.5m xbox 1.5m away from being half) 7m 10m (half is 5m xbox 2m away from being half) if the ps4 sold 500k more: 5m 8m (half is 4m, xbox 1m away from being half) 6m 9.5m (half is 4.75m xbox 1.25m away from being half) 7m 11m (half is 5.5m xbox 1.5m away from being half) Basic maths, basically.
Remember, theres a 5 year old and a 10 year old, and th 5 year old is only ever half the age of the 10 year old for that one year, in 30 years they would be 35 and 40, the distance between being half of something grows larger on its own because thats just how numbers work.
It would take a hefty surge in sales in a very one sided way to mke ps4 hit the hallowed "twice as much" thing, and providing the xbox one didnt flop, chances are that by the next sales data the ps4 would lose that status, and slowly move further and further away.
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On purpose or not, their is big flaws in your math. You don't only assume that the ps4 is selling 500k more, you assume also that the xbox one is selling 1 million a month, and the PS4 1.5 millions. That's a pretty big assumption.
First, 1.5 millions and 1 million is quite a lot on average. Second, it makes the ps4 selling only 50% more, even if it's currently selling more than 2:1 on average. It can even sell up to 4:1 in worst/best case.
The real math is the following. Whatever xbox one and ps4 sell, if the PS4 sell :
- exactly twice as much, the gap will keep forever, but the total will more and more close to twice as much. For example 15m/28m, 25m/48m, 50m/98m.
- more than twice as much, the gap to make it twice as much will reduce, then disappear. Total will be twice as much, or more.
- less than twice as much, the gap will grow forever, the answer is never. That's the assumption you are making.
For a long time, the PS4 has been selling more than twice as much, if it continues to do so, PS4 will at some point have sold twice as much, that's math.
Let's make a simple (very rough) calculation for example. I heard that in 2013 the PS4 sold 4.2 millions and the xbox one 3 millions.
It would mean 3.9m vs 1.5m sales for current year. For 6 months, so it makes it an average of 650K vs 250K a month.
If we keep the same monthyl sales, and want to know how long it take to sales twice, we get something like that, X the number of month, m for millions, k for 1000 :
8.1m+650k*X = 2 * (4.5m+250k*X)
→ 8,100,000 + 650,000X = 9,000,000 + 500,000X
→ X = 6 (ie 6 months, 12m versus 6m)
So it would take 6 months if it kept the yearly average sales. It should be selling quite less on average, we add christmas and 6~8 months is possible.
If you disagree on the calculation data or want to cover different months to calculate the sale average, please provide.
NB: I fixed the calculation