As your routing schema seems rather unconventional there's no helper method that could achieve what you want. What you could do is write your own helper function that takes the name of the route ('game', 'gamecategory', 'deposit') and the name of the controller ('GameController' and so on) and generates the routes you want from that.
function _register_routes($path, $controller)
{
Route::get("{$path}/p/{action}", "{$controller}@getPage");
Route::get("{$path}/e/{id}", "{$controller}@edit");
Route::post("{$path}/p/add", "{$controller}@add");
}
_register_routes('game', 'GameController');
_register_routes('gamecategory', 'GameCategoryController');