in economics, the consumption function, or better, the consumption expenditure function, is a single mathematical function used to express consumer spending. it was first mentioned by john maynard keynes who introduced it in his most famous book the general theory of employment, interest, and money. the function is used to calculate the amount of total consumption in an economy. due to the lack of mathematical tools when it was first drafted, keynes presented a simplistic formulation. it was made up of autonomous consumption that is not influenced by current income and induced consumption that is influenced by the economy's income level. this function could be written in a variety of ways, the most simplistic being c = a + b(y-t) a refined version of the initial consumption function is shown as the affine function: :c = c_0 + c_1 y^d where * c = total consumption, * c0 = autonomous consumption (c0 > 0), * c1 is the marginal propensity to consume (ie the induced consumption) (0 < c1 < 1), and * yd = disposable income (income after government intervention â benefits, taxes and transfer payments â or y + (g â t)). autonomous consumption represents consumption when income is zero. in estimation, this is usually assumed to be positive. the marginal propensity to consume (mpc), on the other hand measures the rate at which consumption is changing when income is changing. in a geometric fashion, the mpc is actually the slope of the consumption function. the mpc is assumed to be positive. thus, as income increases, consumption increases. however, keynes mentioned that the increases (for income and consumption) are not equal. according to him, "as income increases, consumption increases but not by as much as the increase in income". the keynesian consumption function is also known as the absolute income hypothesis, as it only bases consumption on current income and ignores potential future income (or lack of). criticism of the simplicity and irreality of this assumption lead to the development of milton friedman's permanent income hypothesis and richard brumberg & franco modigliani's life cycle hypothesis. but none of them developed a definitive consumption expenditure function. friedman, although he got the nobel prize for his book a theory of the consumption function (1957), presented several different definitions of the permanent income in his approach, making it impossible to develop a more sophisticated function. modigliani and brumberg tried to develop a better consumption expenditure function using the income got in the whole life of consumers, but them and their followers ended in a formulation lacking
Macroeconomics