I had a wireless Logitech from Walmart once.
It was a piece of stuff. The batteries lasted like 2 days (even with Duracells), and the left click stopped working correctly after a few months.
My mouse now is an HP, also from Walmart. Also a piece of stuff. Screwy oversensitive scroll wheel, and the left click sometimes doesn't work unless I push down extra hard. It was $18 bucks if I remember correctly.