  We investigate the dynamics of coordination and consensus in an agent
population. Considering agents endowed with bounded rationality, we study
asymmetric coordination games using a mapping to random field Ising models. In
doing so, we investigate the relationship between group coordination and agent
rationality. Analytical calculations and numerical simulations of the proposed
model lead to novel insight into opinion dynamics. For instance, we find that
bounded rationality and preference intensity can determine a series of possible
scenarios with different levels of opinion polarization. To conclude, we deem
our investigation opens a new avenue for studying game dynamics through methods
of statistical physics.
