One approach to the modeling of bounded rationality in games is based on th
e dynamics of evolution and learning. An alternative static and equilibrium
-based approach has been developed recently by Osborne and Rubinstein. This
paper formalizes Osborne and Rubinstein's dynamic interpretation of their
equilibrium concept, uses the criterion of dynamic stability as an equilibr
ium refinement, and shows that stable equilibria can involve the playing of
strictly dominated actions while dominant strategy equilibria can be unsta
ble. These effects cannot occur under standard evolutionary game dynamics.
Sufficient conditions for the instability of equilibria are provided for sy
mmetric and asymmetric games. Journal of Economic Literature Classification
Number: C72. (C) 2000 Academic Press.