Pragmatic languages with universal grammars

► The paper constructs a specific equilibrium in Sender-Receiver games with transmission of information through binary noisy channels. ► The Sender uses the block-coding rule as her signaling strategy. ► The Receiverʼs best response partitions the space of signals by the Hamming distances between received messages and equilibrium messages. ► The Senderʼs block-coding rule is an equilibrium strategy. The tie-breaking decoding is crucial for the equilibrium existence. ► Efficiency is analyzed by comparing ex-ante equilibrium payoffs with those of noiseless communication.