Teb: Yog, ob qho tib si yog homothetic Homothetic saj yog saj zoo li MRS yog tib yam raws li cov duab hluav taws xob los ntawm keeb kwm. Rau kev hloov zoo meej xws li Coke thiab Pepsi, MRS yog tib yam nyob txhua qhov chaw - uas txhais tau hais tias nws yeej zoo ib yam nrog rau txhua txoj kab hluav taws xob los ntawm keeb kwm.
Koj qhia li cas yog tias nyiam yog homothetic?
Tam sim no peb hais tias kev nyiam kev sib raug zoo yog homothetic yog rau ob pob x thiab y xws li x ∼ y, ces αx ∼ αy rau ib qho α > 0 cov lus nug, uas tseem nyuaj dua. nyiam kev sib raug zoo º yog homothetic yog thiab tsuas yog tias nws tuaj yeem sawv cev los ntawm cov khoom siv hluav taws xob uas yog homogeneous ntawm qib ib.
Is Cobb-Douglas homothetic?
Linear utilities, Leontief utilities thiab Cobb-Douglas utilities yog tshwj xeeb ntawm CES functions thiab yog li tseem yog homothetic. tsis tuaj yeem sawv cev ua homogeneous muaj nuj nqi.
Vim li cas Cobb-Douglas homothetic?
Nws tseem tuaj yeem pom cov lej suav hais tias Cobb-Douglas nyiam yog homothetic vim if XαY 1−α > (X)α(Y)1−α ces (tX)α(tY)1− α > (tX)α(tY)1−α (Qhov no tau ua pov thawj rau kev ua lej ua-ua rau Cobb Douglass cov khoom siv hluav taws xob yog homogeneous, txhais tau tias U(tX, tY)=tN U(X, Y) qhov twg N yog qib ntawm homogeneity.)
Puas yog qhov zoo tshaj plaws quasilinear?
zoo meej ntxiv xws li tshuaj yej thiab qab zib, ntawm qhov tod tes, yog tsis quasilinear hauv qhov zoo. Raws li txhua txoj kab ntsug emanating los ntawm kab rov tav axis, qhov nkhaus indifference ntawm qee qhov taw tes hloov ntawm kab rov tav mus rau ntsug. … Yog li ob yam ntawm cov khoom tsis yog quasilinear.
