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Equation 1 · Part 6 · The Granary as an Institution

Symbol T_t

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

What this part means

the quantity appropriated by others.

Its job in the formula

TtT_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

…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…

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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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