Java: A modification of KKMultiServer

MultiServer.java

package multiserver;

import java.net.*;
import java.io.*;
import java.util.ArrayList;
import java.util.List;
 
public class MultiServer {
    protected ServerSocket serverSocket = null;
    protected boolean listening = true;
    protected List<Socket> clientSockets;

	public MultiServer(int port) throws IOException {
		serverSocket = new ServerSocket(4444);
		clientSockets = new ArrayList<Socket>();

        while (listening) {
            Socket clientSocket = serverSocket.accept();
            clientSockets.add(clientSocket);
            Thread clientThread = new MultiServerThread(clientSocket, this);
        }

        serverSocket.close();
    }
	
 	public void broadcast(String outputLine) {
		for (Socket socket : clientSockets) {
			PrintWriter out;
			try {
				out = new PrintWriter(socket.getOutputStream(), true);
				out.println(outputLine);
			} catch (IOException e) {
				// We failed at writing to the socket...
				// e.printStackTrace();
				removeSocket(socket);
			}
		}
	}

	public void removeSocket(Socket socket) {
		/* This is the part where socket is removed from clientSockets,
		 * which is not an entirely trivial part of code since there may
		 * be several threads that iterate through it and try to remove
		 * (possibly even the same) sockets at the same time.
		 */
		clientSockets.remove(socket); // BAD! This is a shared resource.
	}
	
	public static void main(String[] args) throws IOException {
		new MultiServer(4444);
	}

}

MultiServerThread.java

package multiserver;

import java.net.*;
import java.io.*;

public class MultiServerThread extends Thread {
    private Socket socket = null;
    private MultiServer server;

    public MultiServerThread(Socket socket, MultiServer server) {
    	super("MultiServerThread");
    	this.socket = socket;
    	this.server = server;
    }

    public void run() {
    	try {
    		PrintWriter out = new PrintWriter(socket.getOutputStream(), true);
    		BufferedReader in =
    			new BufferedReader(
    				new InputStreamReader(socket.getInputStream()));

    		String inputLine, outputLine;

    		while ((inputLine = in.readLine()) != null) {
    			outputLine = inputLine; // Maybe do some processing here
    			// out.println(outputLine); // Don't just send to socket...
    			server.broadcast(outputLine); // Broadcast it!
    			if (outputLine.equals("Bye"))
    				break;
    		}

    		out.close();
    		in.close();
    		socket.close();
    		server.removeSocket(socket);
    	} catch (IOException e) {
    		e.printStackTrace();
    	}
    }
}