Definition of Dynamic Inconsistency:
A possible attribute of a player's strategy in a dynamic decision-making
environment (such as a game).
When the best plan that a player can make for some future period will not be
optimal when that future period arrives, the plan is dynamically inconsistent.
In one stylized example, addicted smokers face this problem -- each day, their
best plan is to smoke today, and to quit (and suffer) tomorrow in order to get
health benefits subesquently. But the next day, that is once again the best
plan, so they do not quit then either. (In a model this can come about if the
planner values the present much more than the near future, -- that is, has a
low short-run discount factor -- but has a higher discount factor between two
future periods.)
Monetary policy is sometimes said to suffer from a dynamic inconsistency
problem. Government policymakers are best off to promise that there will be
no inflation tomorrow. But once agents and firms in the economy have fixed
nominal contracts, the government would get seigniorage revenues from
raising the level of inflation.
(Econterms)
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