The Hicks substitution effect keep utility constant rather than keeping pur-
chasing power constant.
jai jawan jai kisan
Proof that all Giffen goods are inferior goods but not all inferior goods are Giffen goods. A Giffen good is defined as dx/dp > 0 (i.e. quantity demanded increases with own-price). An inferior good is defined as dx/dm < 0 (i.e. quantity demanded decreases with income). The own-price Slutsky equation tells that: dx/dp = dh/dp - x(dx/dm) (own-price elasticity of demand = substitution effect - income effect), where h is the Hicksian demand. dh/dp is always negative. If the good is Giffen, then the left hand side of the Slutsky equation is positive. Since dh/dp is negative, then it must be the case that dx/dm is negative (i.e. the good is inferior), since otherwise a positive income effect subtracted from the substitution effect would give a negative result. Therefore, all Giffen goods are inferior goods. Yet, it may be the case that x(dx/dm) is negative, an inferior good, but that the income effect is lesser than the substitution effect, so that the left hand side of the equation remains negative. Thus, not all inferior goods are Giffen.
Abram Slutsky was born in 1898.
Abram Slutsky died in 1938.
Allan Slutsky was born in 1950.
Erik Slutsky was born in 1953.
Boris Slutsky died in 1986.
Boris Slutsky was born in 1919.
Eugen Slutsky died on 1948-03-10.
Eugen Slutsky was born on 1880-04-07.
Leonid Slutsky - politician - was born in 1968.
Leonid Viktorovich Slutsky was born on 1971-05-04.
jai jawan jai kisan
It's the trainer of CSKA, great Russian football (soccer) team. It's not depends on English word "slut" :D And I think that more true transliteration is "Sluckij"