IIRC, wild game in the state of Nebraska belongs to the people of the state of Nebraska, and it does not matter whose land it's on- the Game and Parks still gets to manage the resource for the people. The landowner still owns the land, and controls access, but the wild game on it is not his to do with as he pleases. It belongs to all of us.
To hunt big game on their own land only, a land owner needs to buy a landowner big game permit, and describe the land to be hunted on the application (by section and township).