How to compare with a rules condition vote:uid to 10 instances?
In the scenario you describe, a simple solution could be to create a profile field to store the number of votes per user. This field will be:


set to 0 as a default value
incremented when the user votes (you can use Rules for that, there is an action called "Set a data value")
compared with your defined maximum (ex: 10) in Rules, so that when the user reaches 10, something is triggered (ex: Remove user role: "Voting User")


You can then set the voting API permissions to this role ("Voting User"), and use it as a display condition to hide the voting buttons (Plus 1 or Rate).

Hope it helps!
Cheers