  We define notions of dominance between two actions in a dynamic game. Local
dominance considers players who have a blurred view of the future and compare
the two actions by first focusing on the outcomes that may realize at the
current stage. When considering the possibility that the game may continue,
they can only check that the local comparison is not overturned under the
assumption of "continuing in the same way" after the two actions (in a newly
defined sense). Despite the lack of forward planning, local dominance solves
dynamic mechanisms that were found easy to play and implements social choice
functions that cannot be implemented in obviously-dominant strategies.
