In the game “rock–scissors–paper” two players in unison show a fist

(rock), two fingers (scissors), or an open hand (paper). The winner of each round is determined by what hand signals the players shows. If one player shows a fist, while another shows two fingers, the first player wins because

“rocks break scissors.” If, on the other hand, the second player shows an open hand, then that player wins because “paper covers rock.” Finally, if one player shows two fingers and the other player shows an open hand, then the second player wins because “scissors cut paper,” and so on. An alternative way to play this game is to isolate the players in separate rooms, prohibiting communication between them. A third individual, the referee, goes to each room and asks the player to reveal his or her hand. After inspecting the hand of each player, the referee declares a winner. Both versions of this game may be called simultaneous-move games. Do you agree?

If not, then why not?