Python select不能与多个客户端一起使用

我用Python Select库构建了一个在服务器和客户端之间传输数据的项目。 当我使用两个客户端运行程序时，只有最后一个客户端能够与服务器建立连接

服务器代码：代码的一部分

IP = "127.0.0.1"
PORT = 5555
def main():
    print("Setting up server...")
    server_socket = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
    server_socket.bind((IP, PORT))
    server_socket.listen(5)
    print("Listening for clients...")
    client_sockets = []

    while True:
        rlist, wlist, xlist = select.select([server_socket] + client_sockets, client_sockets, [])
        for current_socket in rlist:
            if current_socket is server_socket:
                connection, client_address = current_socket.accept()
                print("New client joined!", client_address)
                client_sockets.append(connection)

    SERVER_IP = '127.0.0.1'
    SERVER_PORT = 5555
    # open socket with the server
    my_socket = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
    my_socket.connect((SERVER_IP, SERVER_PORT))

    # print instructions
    print('Welcome to remote computer application. Available commands are:\n')
    print('img\nadmin\nexit')

客户代码：代码的一部分

IP = "127.0.0.1"
PORT = 5555
def main():
    print("Setting up server...")
    server_socket = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
    server_socket.bind((IP, PORT))
    server_socket.listen(5)
    print("Listening for clients...")
    client_sockets = []

    while True:
        rlist, wlist, xlist = select.select([server_socket] + client_sockets, client_sockets, [])
        for current_socket in rlist:
            if current_socket is server_socket:
                connection, client_address = current_socket.accept()
                print("New client joined!", client_address)
                client_sockets.append(connection)

    SERVER_IP = '127.0.0.1'
    SERVER_PORT = 5555
    # open socket with the server
    my_socket = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
    my_socket.connect((SERVER_IP, SERVER_PORT))

    # print instructions
    print('Welcome to remote computer application. Available commands are:\n')
    print('img\nadmin\nexit')