Search results
Results from the WOW.Com Content Network
In macroeconomics, a multiplier is a factor of proportionality that measures how much an endogenous variable changes in response to a change in some exogenous variable. For example, suppose variable x changes by k units, which causes another variable y to change by M × k units. Then the multiplier is M.
The costate equation is related to the state equation used in optimal control. [ 1 ] [ 2 ] It is also referred to as auxiliary , adjoint , influence , or multiplier equation . It is stated as a vector of first order differential equations
This equation implies that if Y rises by 10, then net investment will equal 10×2 = 20, as suggested by the accelerator effect. If Y then rises by only 5, the equation implies that the level of investment will be 5×2 = 10. This means that the simple accelerator model implies that fixed investment will fall if the growth of production slows.
In economics, the fiscal multiplier ... In the following examples the multiplier is the right-hand-side of the equation without the first component.
The multiplier–accelerator model can be stated for a closed economy as follows: [3] First, the market-clearing level of economic activity is defined as that at which production exactly matches the total of government spending intentions, households' consumption intentions and firms' investing intentions.
This figure would give us the instance where, again, a $1 billion change in expenditure would now lead to only a $1.79 billion change in equilibrium real GDP. This example shows us how the multiplier is lessened by the existence of an automatic stabilizer and thus helping to lessen the fluctuations in real GDP as a result of changes in expenditure.
The group's total payoff is maximized when everyone contributes all of their tokens to the public pool. However, the Nash equilibrium in this game is simply zero contributions by all; if the experiment were a purely analytical exercise in game theory it would resolve to zero contributions because any rational agent does best contributing zero, regardless of whatever anyone else does.
The complex multiplier is the multiplier principle in Keynesian economics (formulated by John Maynard Keynes).The simplistic multiplier that is the reciprocal of the marginal propensity to save is a special case used for illustrative purposes only.