Грегори Кларк - Прощай, нищета! Краткая экономическая история мира
Вышеприведенные результаты для источников роста дохода на душу населения получены для экономики с од-ним-единственным типом продукции, одним типом труда, одним типом земли и одним типом капитала (который представляет собой просто накопленную продукцию). Но все эти результаты легко обобщить для экономики с многочисленными типами продукции, труда, земли и капитала, получив аналогичные выражения. Так, для экономики с i типами продукции рост выпуска представляется в виде
gY = ∑ θigYi ,
где θi — доля товара или услуги i в стоимости продукции. Рост трудового вклада превращается в
gY = ∑ (bi / b)gYi ,
где bj — доля общих выплат собственникам факторов производства, выплачиваемая работникам типа j. Рост запаса капитала аналогично выражается в виде
gY = ∑ (ai / a)gKi .
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