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Equation 1 · Part 3 · The Granary as an Institution

Symbol S_t

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

What this part means

the stock held.

Its job in the formula

StS_t is one of the signed contributions combined to compute the quantity on the left.

Where the article explains it

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 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.…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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