public class GameObject
{
  public GameObject(string myName)
   { ...}
}

public class CarObject: GameObject
{
   //no argument in this constructor
   public CarObject():base("myCar")
   {
          ...
   }
   //you can also do it like this
   public CarObject(string myName):base(myName)
  {
     ...
   }
  //you can also do it like this
   public CarObject(string myName, Color myColor):base(myName)
   {
     this.Color = myColor;
   }
}

    public class GameObject
    {
        public GameObject()
        {
        }

        public GameObject(int someInt)
        {
        }

        ...as many constructors as you need

    }

    public class ExtendedGameObject : GameObject
    {
        public ExtendedGameObject()
        {
        }

        public ExtendedGameObject(float someFloat)
        {
        }

        ...as many constructors as you need

    }