Even though all debt and wage contracts are indexed, there is an incen
tive to levy a surprise inflation tax as this erodes the real value of
debt service, permits a cut in the tax rate and boosts private consum
ption. With rules it is optimal to smooth tax and seigniorage revenues
. However, with discretion (associated with the Markov-perfect equilib
rium) the government finances an increase in spending through addition
al interest income paid on assets that are generated through a tempora
ry bout of inflation and taxation. The electorate prefers to appoint a
central banker more concerned with inflation than the median voter.