On Identifying Higher-Order Rationality

We first discuss two caveats to the identification of higher-order rationality presented in Kneeland [9, Econometrica, 83, (2015), 2065‐2079]. We then propose an alternative identification approach, which not only does not require an assumption but also delivers the same identification outcome as in Kneeland [9]. Finally, our identification approach can be implemented using the chain game, which is considerably simpler than Kneeland’s ring game [9].