[SIZE=1][FONT=Times New Roman][SIZE=1][FONT=Times New Roman][SIZE=2]Furthermore, he claimed that the MPC "is of considerable importance because[/SIZE][/FONT][/SIZE][/FONT][/SIZE]
[SIZE=1][FONT=Times New Roman][SIZE=1][FONT=Times New Roman][SIZE=2]it tells us how the next increment of output [/SIZE][/FONT]
[/SIZE][/FONT][/SIZE][FONT=Times New Roman][FONT=Times New Roman]will have to be [/FONT][/FONT][FONT=Times New Roman][FONT=Times New Roman]divided between[/FONT][/FONT]
[FONT=Times New Roman][FONT=Times New Roman]consumption and investment" (ibid.: 115 [emphasis added]). [/FONT][/FONT][FONT=Times New Roman]
[FONT=Times New Roman]The multiplier [/FONT]
[/FONT][FONT=Times New Roman][FONT=Times New Roman](k) [/FONT][/FONT][FONT=Times New Roman][FONT=Times New Roman]equals 1/1-MPC, and thus, he concluded, "it tells us that, when there is[/FONT][/FONT]
[FONT=Times New Roman][FONT=Times New Roman]an increment of aggregate investment, income [/FONT]
[/FONT][FONT=Times New Roman][FONT=Times New Roman]will increase [/FONT][/FONT][FONT=Times New Roman][FONT=Times New Roman]by an amount [/FONT][/FONT][FONT=Times New Roman][FONT=Times New Roman]which is [/FONT][/FONT]
[FONT=Times New Roman][FONT=Times New Roman]k [/FONT][/FONT][FONT=Times New Roman][FONT=Times New Roman]times the increment of investment" (ibid, [emphasis added]).[/FONT][/FONT]
[FONT=Times New Roman][FONT=Times New Roman]To use[/FONT][/FONT]
[FONT=Times New Roman][FONT=Times New Roman]k [/FONT][/FONT][FONT=Times New Roman][FONT=Times New Roman]in support of "public works," the multiplier must have the mathematical[/FONT][/FONT]
[FONT=Times New Roman][FONT=Times New Roman]precision Keynes gives it (ibid.: 116). Yet this precision leads to logical[/FONT][/FONT][FONT=Times New Roman]
[FONT=Times New Roman]absurdities. Three absurd cases exist, corresponding to three violations of[/FONT]
[FONT=Times New Roman]Keynes's pronouncement that 0 < MPC < 1. As shown above, there is no[/FONT]
[FONT=Times New Roman]accounting principle that the MPC be bound in this way, and there is ample[/FONT]
[FONT=Times New Roman]evidence that the MPC is not so bound (see Table 4.1).[/FONT]
[/FONT]
[FONT=Times New Roman][FONT=Times New Roman]One absurdity exists when the MPC = 1 since, in this case, [/FONT][/FONT][FONT=Times New Roman]
[/FONT][FONT=Times New Roman][FONT=Times New Roman]k [/FONT][/FONT][FONT=Times New Roman][FONT=Times New Roman]is infinitely[/FONT][/FONT]
[FONT=Times New Roman][FONT=Times New Roman]large. Thus, any additional expenditure on "public works" would end scarcity![/FONT]
[FONT=Times New Roman]Keynes tried to avoid this absurdity by claiming that "prices will rise without[/FONT]
[FONT=Times New Roman]limit" (ibid.: 117). This was nothing but a rhetorical trick since Keynes had[/FONT]
[FONT=Times New Roman]defined his theory in real terms (wage-units). If prices are important in his[/FONT]
[FONT=Times New Roman]equations, then he should put them in and explain their role in the multiplier[/FONT]
[FONT=Times New Roman]process. Keynes could not do that because his entire theory falls apart as[/FONT]
[FONT=Times New Roman]soon as changing relative prices are recognized (Hazlitt [1959] 1973: 288-[/FONT][/FONT]
[FONT=Times New Roman][FONT=Times New Roman]318).[/FONT][/FONT]
[FONT=Times New Roman][FONT=Times New Roman][SIZE=1][FONT=Times New Roman][SIZE=1][SIZE=2]Even more damaging is the case where the MPC exceeds one (see Table 4.1).[/SIZE][/SIZE][/FONT]
[SIZE=1][FONT=Times New Roman][SIZE=2]In this case, the multiplier is negative![/SIZE][/FONT][/SIZE]
[/SIZE][/FONT]
[FONT=Times New Roman][FONT=Times New Roman]But Keynes claimed that more spending[/FONT][/FONT]
[FONT=Times New Roman][FONT=Times New Roman]always means more prosperity, not less. The final case is no less absurd. If the[/FONT]
[FONT=Times New Roman]MPC is negative (see Table 4.1), then [/FONT]
[/FONT]
[FONT=Times New Roman][FONT=Times New Roman]k [/FONT][/FONT][FONT=Times New Roman][SIZE=1][FONT=Times New Roman][SIZE=1][SIZE=2]will be a positive fraction. Thus, an[/SIZE][/SIZE][/FONT][/SIZE][/FONT]
[SIZE=1][SIZE=1][FONT=Times New Roman]
[FONT=Times New Roman][SIZE=2]increase in spending for "public works" gets partially consumed somewhere in[/SIZE][/FONT]
[FONT=Times New Roman][SIZE=2]the aggregate economy. But Keynes claimed that failure to spend leads to recession.[/SIZE][/FONT]
[FONT=Times New Roman][SIZE=2]His formula does not concur, nor can it be reconciled with his verbal[/SIZE][/FONT]
[FONT=Times New Roman][SIZE=2]pronouncements. Keynesians cannot have it both ways: either they must give[/SIZE][/FONT]
[FONT=Times New Roman][SIZE=2]up mathematical precision (rendering the theory null) or they must reconcile[/SIZE][/FONT]
[FONT=Times New Roman][SIZE=2]these absurdities with general economic theory (not possible).[/SIZE][/FONT][/FONT][/SIZE][/SIZE]
[/FONT]