 What if the roles of Sender and Receiver are not permanently assigned to individuals? That is, what if nature flips a coin and assigns one player to the role of Sender and the other player to the role of Receiver, and then has them play the game? In this case, a player’s strategy needs to specify what he will do when assigned the role of Sender, as well as what he will do when assigned the role of Receiver. Since there are four possible strategies to use as Sender and four possible strategies to use as Receiver, this means that there are a total of \(\mathbf{16}\) possible strategies for the sender-receiver game when roles are not permanently assigned to individuals. Here, a player’s strategy consists of an ordered pair (Sender \(X\), Receiver \(Y)\), where \(X, Y \in \{1, 2, 3, 4\}\).