We show a negative relation between the inflation rate and the unemployment rate, that is, the Phillips curve using a three-period overlapping generations (OLG) model with childhood period and pay-as-you-go pension for older generation under monopolistic competition with negative real balance...

Using a continuous time dynamic model of growing economy we will show the following results. 1) When people derive utility from their money holding (or government bond holding) along with their consumption, a budget deficit is essential to achieve and maintain full employment under stable prices...