In my opinion yes, we should.
Here are a few links with more information.
A Cambridge math professor does the sums:
gowers.wordpress.com...
A good synopsis of what it's all about:
www.electoral-reform.org.uk...
The No2AV leaflet corrected:
imgur.com...
In a nutshell AV will make voting fairer - MPs will have to work harder to win and retain second, third and fourth (etc.) choice votes and a broader
range of politics will be represented in Parliament.
The current system means British politics will always be dominated by the Tories and Labour, which clearly isn't working.