A job guarantee would be a standing offer of a publicly funded job, with spending on the program adjusting automatically and countercyclically in response to take-up of positions. The likely feedback between spending on the program and activity in general is interesting and can be considered within the income-expenditure framework. In what follows, the standard model is modified to find the steady state levels and compositions of income and employment and other key variables. Attention then turns to how the system might behave outside a steady state. A way of conceptualizing the dynamics of the system is suggested and formulas developed to describe that behavior. The suggested dynamics are shown to be consistent with steady state requirements.