The paper examines the appropriate design of central banking institutions i
n an economy in which the nominal wage is set by an inflation-averse monopo
ly union as a positive mark-up over its market-clearing value. The analysis
considers both the optimal choice of central banker and the potential role
for a linear inflation contract. The optimal set of arrangements is a cent
ral banker who attaches less significance to inflation than does society, c
ombined with an inflation contract where the value of the contract paramete
r is related to the union's degree of inflation-aversion.