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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Solving the dynamic-inconsistency problem through punishment. (Barro and Gordon, 1983.) Consider a policymaker whose objective function is
 is determined by the Lucas supply curve, (11.53), each period. Expected inflation is determined as follows. If π has equaled ˆπ (where ˆπ is a parameter) in all previous periods, then πe = πˆ. If π ever differs from ˆπ, then πe = b/a in all later periods.
(a) What is the equilibrium of the model in all subsequent periods if π ever differs from ˆπ?
(b) Suppose π has always been equal to ˆπ, so πe = πˆ. If the monetary authority chooses to depart from π = πˆ, what value of π does it choose? What level of its lifetime objective function does it attain under this strategy? If the monetary authority continues to choose π = πˆ every period, what level of its lifetime objective function does it attain?
(c) For what values of ˆπ does the monetary authority choose π = πˆ? Are there values of a, b, and β such that if ˆπ = 0, the monetary authority chooses π = 0?
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