Perfect foresight dynamics in games with linear incentives and time symmetry (Q926188)

The author considers two selections of static Nash equilibrium for normal-form games: absorption and globally accessibility. He shows that in a general symmetric games with linear incentives, every absorting strict Nash equilibrium, if it exists, is globally accessive under zero rate of time preference. Moreover, under an additional assumption of supermodularity, it is proved that both absorption and global accessibility are the same equilibrium selection.