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Understanding the dynamic processes of a real game system requires anappropriate dynamics model, and rigorously testing a dynamics model isnon-trivial. In our methodological research, we develop an approach to testingthe validity of game dynamics models that considers the dynamic patterns ofangular momentum and speed as measurement variables. Using Rock-Paper-Scissors(RPS) games as an example, we illustrate the geometric patterns in theexperiment data. We then derive the related theoretical patterns from a seriesof typical dynamics models. By testing the goodness-of-fit between theexperimental and theoretical patterns, we show that the validity of thesemodels can be evaluated quantitatively. Our approach establishes a link betweendynamics models and experimental systems, which is, to the best of ourknowledge, the most effective and rigorous strategy for ascertaining thetestability of evolutionary game dynamics models.

Testability of evolutionary game dynamics models based on experimental economics data