How can I stream my android phone screen to my laptop computer?

I am mostly trying to solve a low resolution problem when watching Google Play movies as on my Windows 8.1 PC many of them are not available in HD quality. As Android phones have access to higher resolutions, but I have a better screen on my laptop, I was wondering how I could stream video content from my (unrooted) phone to my laptop screen.

I am aware of some DLNA solutions but as far as I know, they do not allow streaming of Google Play movies.