WellSpyder, on 2012-October-16, 07:50, said:
Now I don't really know what you are trying to argue at all! I provided a reason why the multiplier might be less than one, and you seem to be disagreeing, saying it will normally be zero! That sounds to me like you are agreeing not disagreeing!
I think we agree conceptually, but are having a technical disagreement over the appropriate way to define a budget multiplier. I think I can illustrate our technical disagreement more clearly. Suppose we draw one of those AD vs Y graphs that economists are so keen on, and I make the economic response function vertical - i.e. I fix real output to be a constant. Then an increase in government spending does not increase real output, and the multiplier is zero. Suppose instead that I am some forward thinking empiricist who realises that real output cannot be measured, so instead I decide that I will measure GDP, by measuring NGDP and stripping out inflation. So the government sells a bond for $100, and buys $100 of real output, so now NGDP has increased by $200, once for the government's spending, and once for the buying of the bond (Since saving = investment). Now if the $100 used to buy the bond, would otherwise have been used to buy the goods and services that the government is buying, then the change leads to a change in NGDP of 100, but since there is no extra demand for goods and services, there is no price change/inflation, and the increase in NGDP is exactly taken up by the increase in the supply of "goods". So its clear that in this case the `no effect' multiplier is one. This, at least, was the approach that I had in mind.
WellSpyder, on 2012-October-16, 07:50, said:
That just sounds like nonsense to me, I'm afraid. I'm not talking necessarily about consumption falling compared with what it was last year, but simply falling compared with what it would have been if the government hadn't in some sense signalled higher future taxes. That argument doesn't seem to me to be affected at all by whether the underlying pattern of consumption is rising, falling, or staying the same.
Ok, so presume that the multiplier during a recession is higher than at full employment, then the cost of paying off my extra debt is lower, in consumption terms, than the gain I get. Thus the effect of higher taxes later is necessarily lower in total in any case where fiscal policy increases total output, since its self evident that when the economy comes up against its full employment limit, no increase in aggregate demand can increase output, so the multiplier must be small. If you look at the graphs in
http://wps.prenhall...._Ch22_topic.pdf but imagine that the economy's response function to increased aggregate demand (the black line) is like a tan function. The explanation given there for the balanced budget multiplier has a nice property, if we assume the slope of the black line (for marginal changes) to be `m', then the multiplier for a balanced budget is (1-MPC)/(m-MPC), and it follows that the (instantaneous) multiplier ranges from infinity to zero. (if the Marginal Propensity Consume is greater than the slope, then each cycle keeps generating enough extra demand to move you along the slope in a self perpetuating cycle, hence an infinite multiplier, in practice, if the slope is a tan, its impossible to go further down than when the slope = MPC, since the cycle would exist for any spending).
Anyway, with this assumption about the response function, its clear that Ricardian equivalence will not (fully) offset spending, since the declining budget multipliers insure that paying it off will not reduce consumption as much as the initial spending increased consumption, even if economic actors act to smooth their consumption in an economically rational manner, which does not seem that likely in the first place.
. If you include interest rates, then you can do an option pricing model, and the result will be that you need a change in fiscal multipliers at least sufficient to pay back the interest. But thats just obvious, and at current rates, practically impossible to avoid.
The physics is theoretical, but the fun is real. - Sheldon Cooper