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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A model of reputation and monetary policy. (This follows Backus and Driffill, 1985, and Barro, 1986.) Suppose a policymaker is in office for two periods. Output is given by (11.53) each period. There are two possible types of policymaker, type 1 and type 2. A type-1 policymaker, which occurs with probability p, maximizes social welfare, which for simplicity is given by
type-2 policymaker, which occurs with probability 1 − p, cares only about inflation, and so sets inflation to zero in both periods. Assume
Â
Â
(a) What value of π2 will a type-1 policymaker choose?
Â
(b) Consider a possible equilibrium where a type-1 policymaker always chooses π1 = 0. In this situation, what is πe2 if π1 = 0? What value of π1 does a type-1 policymaker choose? What is the resulting level of social welfare over the two periods?
Â
(c) Consider a possible equilibrium where a type-1 policymaker always chooses π1 = 0. In this situation, what is πe2 if π1 = 0? What is the resulting level of social welfare over the two periods?
Â
(d) In light of your answers to (b) and (c), what is the equilibrium? In what sense, if any, does concern about reputation lower average inflation in this environment?
Â
(e) In qualitative terms, what form do you think the equilibrium would take if
 Why?
Â
Â
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