I bought a Sony RX100 Mark 3 camera in Perth Australia Aug 2015 for about $800. Not a bad camera but the thing stopped working in Jan 16 - battery wld not charge. According to quite a few user reviews it is not an uncommon problem. Took it to the Sony centre in Newcastle UK a couple of weeks ago (it was the earliest I cld get there) and they gave me a number to call. Called them (Sony UK call centre) and they said if I wanted it fixed I would have to pay for it as the Australian 12 month's warranty does not apply in Europe.
So lesson learned is: if you are daft enough to buy a Sony product in the first place and you are even dafter (like me) and buy it overseas do not expect any warranty. This is the first Sony product I have had for a long time and it is certainly the last.