The logo will primarily be used to identify the company on web sites (game studio directories, the company Facebook and Twitter pages, and our own web site) as well identifying the company in the Apple, Android, and Amazon app stores. It will frequently be used as a square form-factor graphic-only mark (where the containing page/site displays the company name in some standard way, and having it in the logo would be redundant).
For the logo itself, we are imagining something that incorporates three dogs, possibly in a cartoon / avatar style. Pictures of the actual dogs that inspired the company name are attached. It would be great to see them incorporated, but if there is a great design that uses different dogs, or even no dogs at all, then we'd be open to that.
We like the idea of a logo that looks like a mobile app icon (square form factor, rounded corners), to communicate that this is an app/game company, but we are open to other ideas. It's not an actual icon, so we don't have those constraints (for example, we can have elements that go outside of an icon background, etc).
The logo needs to be scalable to a variety of sizes. We'd like to see a pictoral mark / character-only logo at 512x512, 256x256, and 128x128 in PNG format, in addition to a layered PSD. We would also like to see treatments that include that logo along with a wordmark featuring the company name. This might include a version where the company name is integrated into the logo, or displayed below it. This might also include a version where the logo is to the left of the company name at roughly the height of the company name (as you might see it on letterhead or a web page banner).