The name is absent

%3D3 œ #3Dz3 • ⁽¹ - "3P8/!3^)[P8 - ^1/("з — #3^)],

œ #3DZ3 • (1 - %3Q)[p8 - 1∕("3- #3)],                                  (12)

where !₃ is the budget share of good i. Again, in comParison with the semilog demand
system where quality enters in a similar way (Table 1), the semilog own quality elasticity
has additional terms involving %_3Q and ("₃ -#₃), which gives increased flexibility.

The Marshallian cross-quality slopes are given by

'X3∕'Z4 œ #4Dp8("3 - #3 )e# ' !# P

œ#4Dp₄⁸(x3 -"3M),

and the Marshallian cross-quality elasticities are

`  = 'X3 . ^z4

'■ ■    ´ ∂z₂ X3

œ #4Dz4p8 • ^{(1 -} "3P8/!3).

œ#4Dz4p₄⁸ •(1 -%3Q).                                             (13)

Similarly to the price effects, the cross-quality effect in the DS system has an eXtra term,
(1 - %₃₇), relative to the semilog system (Table 1). Combining (12) and (13) with (11),
the full set of relationships between quality, price, and income effects within a given
demand function are

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