The Panasonic LX10/15 is a great alternative to the Sony RX100 and you can save a few hundred dollars. I have always been a RX100 fan, but I am seriously considering getting a LX10 even thought I really like the new RX100.
Panasonic LX10 Amazon/B&H Photo/Adoroma
https://www.youtube.com/watch?v=aaDnmbf77vM&feature=youtu.be
https://www.youtube.com/watch?v=plnEw4GO9NE