While loop not carrying out the way I'd like

/*Justin Johnson
**johnsonj561@gmail.com
**October 5, 2012
** 
**whoIsCloser is an attempt to refresh my memory. I took several programming courses back in 2008 and 2009,
**I'm going back to school in the spring of 2013. Just got bored and started typing!
**
**Each user enters their name, the computer decides who is to go first through alphabetical comparison, and
**each user guesses a number between 1-10. These guesses are then compared to the random # generated by computer,
**and a winner is announced.
**The game ends with the option of playing again or terminating.
*/


   import java.util.Scanner;
   import java.util.Random;

   public class whoIsCloser {
   
      public static void main(String args[]){
         Scanner myScanner = new Scanner(System.in);			//Scanner to read user input
         Random myRandom = new Random();							//Random # generator		
      
         String player1, player2, goesFirst, goesSecond;		//Declare variables
         int goesFirstGuess, goesSecondGuess, randomNumber;				
         int exitCode = 1; 											//Exit Code to terminate program
      
         while(exitCode==1){											//Collect user information
            System.out.println("Please enter player 1's first name:"); 	
            player1 = myScanner.nextLine();
            System.out.println("Please enter player 2's first name:");
            player2 = myScanner.nextLine();
            System.out.println(player1 + " vs. " + player2);
         
            if(player1.compareToIgnoreCase(player2) < 0){	//Determine who goes first alphabetically
               System.out.println(player1 + " goes first. Please pick a number between 1-10:");
               goesFirst = player1;
               goesSecond = player2;
            }
            else if(player1.compareToIgnoreCase(player2) == 0){
               System.out.println("You have the same name! Did you know this!?");
               System.out.println(player1 + "1, Please pick a number between 1-10");
               goesFirst = player1 + "1";
               goesSecond = player2 + "2";
            }
            else{
               System.out.println(player2 + " goes first. Please pick number between 1-10:");
               goesFirst = player2;
               goesSecond = player1;
            }
         
            goesFirstGuess = myScanner.nextInt();				//Store each players guess
            System.out.println(goesSecond + ", Please pick your number between 1-10");
            goesSecondGuess = myScanner.nextInt();
            System.out.println("Thank you both, please be patient while I determine the winner...");
         
          
            try{															//Delay = Suspense! DUN DUN DUNN
               Thread.sleep(4000);  
            }
               catch (InterruptedException ie){
                  System.out.println(ie.getMessage());
               }
         
         
            randomNumber = myRandom.nextInt(10)+1;				//Generate a Random # between 1-10
            System.out.println(); System.out.println();		//Filler Space
            System.out.println("The random number is " + randomNumber + ",");
         
         
         
         																	//Determine & Report the winner :)
            if(Math.abs((randomNumber-goesFirstGuess)) == Math.abs((randomNumber-goesSecondGuess))){
               System.out.println("It's a tie!");
            }			
            else if(Math.abs((randomNumber-goesFirstGuess))<Math.abs((randomNumber-goesSecondGuess))){
               System.out.println(goesFirst + " IS THE WINNER!");
            }			
            else{
               System.out.println(goesSecond + " IS THE WINNER!");
            }		   
          
            System.out.println(); System.out.println();
            System.out.println("Would you like to play again?");		
            System.out.println("Please type a 0 if you would like to quit, or a 1 if you would like to continue:");
            exitCode = myScanner.nextInt();						//Set flag to play again or exit
            System.out.println();
         
         
         }
         System.out.println("Thanks For Playing! GOODBYE!");//Terminate
      }
   }
		

 while(exitCode==1){											                    
            System.out.println("Please enter player 1's first name:"); 	
            player1 = myScanner.nextLine();
            System.out.println("Please enter player 2's first name:");
            player2 = myScanner.nextLine();
            System.out.println(player1 + " vs. " + player2);

...
...
...

            System.out.println(); System.out.println();
            System.out.println("Would you like to play again?");		
            System.out.println("Please type a 0 if you would like to quit, or a 1 if you would like to continue:");
            exitCode = myScanner.nextInt();				
            myScanner.nextLine();