Given the complete lack of any information and the low resolution somewhat blurry picture, my guess would be that it is a gadget of some sort which is used internally. The plastic protrusion on the bottom suggests it may be designed to clip into something else, so it may merely be a part of some larger device- Like part of a portable barcode scanner which for example is used to display inventory numbers.
It is highly unlikely to be an "electronic game" as the screen appears to be intended for display of digits. The holes may have been for buttons, but they may also be contact points which would connect to something it clipped into.
