Aggregation von Produktionsfunktionen: by Fritz Pokropp PDF

By Fritz Pokropp

ISBN-10: 3540060197

ISBN-13: 9783540060192

ISBN-10: 3642807151

ISBN-13: 9783642807152

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Extra info for Aggregation von Produktionsfunktionen: Klein-Nataf-Aggregation ohne Annahmen über Differenzierbarkeit und Stetigkeit

Example text

24) weiR> man lediglich, daR> die "FHiche" Yo(w 1 , .. ,w n ) (wi E Wi) durch die "Geraden" yo(e, ••• ,wi' ••. ,e) geht (i = 1, ••• ,n). h. 24) allein - schuldig bleiben, wird der Struktursatz sich als wirkungsvolle Hilfe bei spezielleren Klein-Nataf-Problemen erweisen. Die Behandlung des Aggregationsproblems mit limitationalen, substitutionalen und "klassischen" (differenzierbaren, stetigen) Funktionen wird von Satz 3 entscheidend profitieren. 1) cf. Aczil [2]. 55 4. Kapitel: Aggregation bei limitationalen Produktionsfunktionen.

X s , ... ,xm) E X. 6) 1) tlblicherweise heiBen zwei Faktoren substituierbar in einem Punkt, wenn dort ihre Grenzproduktivit~ten positiv sind. cf. Frisch [8] p. 55. 27 Wir sagen dann auch: fist voll (j,s)-substitutional (im Punkte x). 6) nichts mit positiven Grenzproduktivit~ten (bei differenzierbarem f) der Faktoren j und s zu tun hat. B. Xl = X2 = (1,~) und f(x 1 ,x 2 ) j = 1,2; = (1 - -1)'(2 - -1), so ist stets ~ > 0 fUr xl x2 6x j in jedem Punkt (x 1 ,x 2 ) ist aber auch 1 - x' 1 DarUber hinaus k5nnen "limitationale" Produktionsfunktionen in speziellen Faktorkombinationen "voll substitutional" in zwei Faktoren sein, wie das folgende Beispiel zeigt.

24) aus den ersten beiden bzw. 15). 18) erklarten Funktionen. 15) ergibt sich k ij ( x .. 21). 21). ' J' = kij(x .. ) die Menge A.. ' J' die Menge X.. durchlauft. 23). 22) sind deshalb definiert. 22). 21) interpretieren, betrachten wir den Punkt e. 24) ist die Aussage enthalten, daR> der mit y 0 "gemessene" Gesamtertrag gleich dem . (durch f~ "gemessenen") Ertrag des i-ten Unternehmens ist, wenn die ubrigen Unternehmen den Ertrag e erzielen. •. • In diesem o J Sinne ist e ein "Nullpunkt" ("Null-Ertrag" bzw.

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Aggregation von Produktionsfunktionen: Klein-Nataf-Aggregation ohne Annahmen über Differenzierbarkeit und Stetigkeit by Fritz Pokropp

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