Mathematical Economics

A₁ accelerator aggregation algebra amplitude analysis arbitrary constants assumed autonomous expenditure auxiliary equation b₁ c₂ coefficients column commodity complex numbers consumer consumption convex convex set corresponding curve damped demand depends determinant difference equation differential equation dimensions distributed lag economic elements equal equilibrium ex ante example explosive exponential lag factors firm fixed free variation function given gives Hence income increases input interpretation investment labour Laplace Transform linear programme linearly dependent macro-relation marginal propensity mixed strategy multiplier negative obtained oscillation output P₁ P₂ particular pay-off matrix period player positive previous exercise problem pure strategies ratio real numbers result returns to scale rows saddle point scalar side relations sinusoidal square matrix stabilisation policy substitution supply tion utility variables variation vector x₁ Y₁ zero λ₁