My MX Revolution mouse (which I love) was blinking red LEDs indicating a dying battery. They're not hard to find (the MX-1000 is impossible to find!)
I was over at the Logitech support site and a guy posted that all he did was disconnect the battery for a few minutes and reconnect it. That reset the mini board on the mouse.
I tried it and sure enough, it is charging to full and holding for days again. So the moral of the story is don't buy a new mouse battery if you don't have to!
Just sharing. An MX-Revolution (discontinued) goes for $250 new on Amazon now with badly used ones starting at about $65. New battery is about $7 and a free battery costs about 5 minutes. At $7 each at a rate of 5 minutes per that comes to $60.00 USD, or a couple of interstellar 'keggers.'

More info:
http://forums.logitech.com/t5/Mice-Trac ... m-p/163301" onclick="window.open(this.href);return false;
SCroll to the bottom or read the page to learn how to take that little sucker apart.