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Equation 1 · Part 8 · The Granary as an Institution

addition

St+1=(1−δ) St+Ht−Ct−Tt,S_{t+1} = (1-\delta)\,S_t + H_t - C_t - T_t,
addition

What this part means

Add the term after the plus sign to the term or group before it.

Its job in the formula

Add the term after the plus sign to the term or group before it.

The passage around this formula

The dynamics are simple enough to write down, and writing them down exposes an assumption that verbal accounts tend to hide. Let the stock carried into the next period be St+1=(1−δ) St+Ht−Ct−TtS_{t+1} = (1-\delta)\,S_t + H_t - C_t - T_t. where StS_t is the stock held, HtH_t the harvest added, CtC_t own consumption, TtT_t the quantity appropriated by others, and δ\delta the proportional loss rate to pests, damp and spoilage. The equation is illustrative rather than estimated, and its value is that it separates two subtractions usually conflated. Grain that rots is gone; grain that is taken still exists and has changed owner. A society can be losing a large share of its stock while nobody is being taxed at all, and a low loss rate is what makes a…

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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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Sources cited in the article section

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