What’s the best cheap compact camera with image stabilisation?

Antonella wants a reasonably priced compact camera with an image stabiliser that's good for night shots. Something like the Sony RX100, but cheaper "

I'm struggling to find the perfect camera for my needs. I watched a YouTube video by one of my favourite photographers, and she suggested the Sony DSC-RX100 M5, but it costs way too much. It got my attention because it was small, it had the SteadyShot stabiliser, and was good for night shoots.

I'm now using a Canon PowerShot SX110IS, but it's pretty terrible, unless the weather conditions are perfect. If I try photographing landscapes at night, I get wobbly pictures, and I don't usually have wobbly hands.