The name is absent

In the DS system, the Marshallian income slope is 'x₃(p⁸,M⁸)/'M⁸ = "₃, so that
each good has a separate income effect ("₃), unlike the semilog demand system, where all
income effects must be the same. The income elasticity for good i is, then,

_ 'X3(p⁸,M⁸) M⁸

%³Q ´   'M8   ■ x₃

Al

X3

-p

!3

(6)

where !3 ´ p₃x₃∕M is the Marshallian budget share of good i. Each good has an
independent income effect, unlike the semilog system, where all income effects must be
equal.

The Marshallian own- and cross-price elasticities %₃₃ and %₃4 are, respectively,

´ 'x₃(p⁸M⁸) . p⁸

%^{33 -}    'p8      x3

œ #3p8 1 - "!p⁸

(7)

and

₌ ⅜(p⁸,M⁸) . P8

³⁴ ´    'p⁸      x3

œ#4 p₄⁸ ’1 -

"P

!3

(8)