Looking for "Edit own Blocks" permission?
Block are not content. They don't have an owner, revision and all that. But there is another way round. You can make some of content to be a blocks with Nodeblock or one of it's competitors:


  This module allows you to specify content type(s) as being a block. This allows the content managers of the site to edit the block text and title without having to access the block administration page. Users only need edit access to that node in order to edit it.


That way you can create content type Block, and apply node permissions to it. All of them, including "edit own block".