Incrementing through an Enumeration

[RobotJones]

I'm using Microdoft Visual C++ 2008 Express Edition, but I'm currently using it to create a console chess application. I have an enumerated type called Player, and a variable of type Player called TURN. I want to be able to use the incement operator on TURN (prefix or postfix, doesn't really matter). Although I think the prefix is easier to overload than the postfix... if, in fact, I have to overload it to make this work (I don't even know if you can overload an operator for an enumeration).

enum Player { HUMAN, COMPUTER, NO_PLAYER };
Player TURN = HUMAN;
bool MATE = false;

while(!MATE)
{
    Move theMove;  // Move class used to retrieve and store the user's move

    if(TURN == NO_PLAYER)
        TURN = HUMAN;

    if(TURN == HUMAN)  // use TURN to determine if it's human's turn to move
    {
        while(theMove.isValid() == false)
        {
            theMove.getMove();  // prompt user to input next move
        }
        applyMove(theMove);  // carry out the move
    }
    else
    {
        // have AI determine computer's best next move
    }
    
    ++TURN;     // increment turn

    if( . . . )  // test for checkmate
        MATE = true;
}

So, how can I do this without getting errors from the compiler? I appreciate your help. Thanks.