Measuring and Testing Advertising-Induced Rotation in the Demand Curve

Plugging (A6) into (B4) yields:

(B5)

n

_RM γ_i+(c_ii+γ_idlnA_i)(∑w_jα_ij -α_ii)

^d 4 =____________j_______

^d lⁿ A ci⁺γd lⁿ Ai

Finally,

(B6)

_∂_ln_η_iAIDS _{= ∂}_η_iAIDS

∂lnA_i ⁼η_i^AIDS∂lnA_i

n

Y, ! w ^- (ci ⁺ Y,^ln A )(^{α -} ∑ ^w^α) / w

j

( ci⁺ Yilⁿ A )/ w₁^-¹

n

Y_i + (c_ii +Y_ilnA_i)(∑w_jα_ij -α_ii)
________________________________j_____________________

ci + Yi ln A, - w,

35

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