The game of the name: A fundamental analysis of the institution of names

The fact that we all have names makes naming an ubiquitous institution. We develop a game-theoretic model to explain the existence of single names (anthroponyms) and how they may be exchanged as a way to promote cooperation. In social interactions, names provide partial identification information that can help reduce the likelihood of cheating, which would be higher with alternative information structures. We then propose a definition of honor based on the probability of being cheated, and derive general patterns for optimal naming that may maximize honor.