A set of classical production possibilities Y=F(K, L, M) yog hais tias homothetic yog muaj ib tug nruj zuj zus transformation o ntawm qhov tsis zoo tiag tiag kab mus rau nws tus kheej xws li 0(F(K, L, M))=f(K, L, M) yog qhov zoo linear homogeneous inputs.
Kev ua haujlwm homothetic yog dab tsi?
Homothetic functions yog cov haujlwm uas nws marginal technical rate of change (qhov nqes hav ntawm isoquant, ib qho nkhaus kos los ntawm cov ntsiab lus hauv kev ua hauj lwm- peev chaw uas tib yam Qhov ntau ntawm cov zis yog tsim rau kev sib txawv ntawm cov khoom siv sib txawv) yog homogeneous ntawm degree xoom.
Koj paub li cas yog qhov ua haujlwm yog homothetic?
A function is homogenous of order k if f(tx, ty)=tkf(x, y). Kev ua haujlwm yog homothetic yog tias nws yog kev hloov pauv monotonic ntawm homogenous muaj nuj nqi (nco ntsoov tias qhov haujlwm thib ob tsis tas yuav ua homogenous nws tus kheej). This is homogenous, since f(tx, ty)=(tx)a(ty)b=ta+bxayb=ta+bf(x,y).
Koj txhais li cas los ntawm homothetic function?
Nyob rau hauv lej, homothetic muaj nuj nqi yog a monotonic transformation ntawm ib tug muaj nuj nqi uas yog homogeneous; Txawm li cas los xij, txij li kev siv hluav taws xob ua haujlwm tsuas yog txhais tau los ntawm kev hloov pauv monotonic, nws muaj qhov sib txawv me me ntawm ob lub ntsiab lus hauv cov neeg siv khoom txoj kev xav.
Vim li cas peb thiaj xav tias homothetic nyiam?
Qhov kev xav ntawm homothetic nyiam nyob rau hauv cov qauv no muab txhais tau tias thiab cov cuab yeej ntawm kev tshuaj xyuas cov xwm txheej uas siv tshuab ntau dua li qhov xav tau yog qhov tseem ceeb ntawm cov txiaj ntsig sib sau Piv txwv tias homotheticity kuj ua rau cov qauv no ntau tractable rau kev siv empirical.
