Formalizing Opponent Modeling with the Rock, Paper, Scissors Game

In simple dyadic games such as rock, paper, scissors (RPS), people exhibit peculiar sequential dependencies across repeated interactions with a stable opponent. These regularities seem to arise from mutually adversarial process of trying outwit their What underlies this process, and what are its limits? Here, we offer novel framework for formally describing quantifying human reasoning in the game. We first show that enables precise characterization complexity patterned behaviors themselves, appear exploit others. This combination allows quantitative understanding opponent modeling abilities. apply these tools an experiment which played 300 rounds RPS dyads. find although very complex move dependencies, they cannot opponents, indicating fundamental limitation people’s capacity reasoning. Taken together, results presented here how game formalization adaptive