Relax assumption on government consumption good production
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The payload names no files or tests. Start with the linked pull request #1192 to see whether the work is already in progress, then find where government consumption G enters the model's budget constraint and the price of consumption goods. Done means government demand is split across sectors using a fixed-coefficient vector pi_gov, the government price p_gov is the weighted sum of sector prices, and the budget constraint uses p_gov times G.
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描述
We currently assume that goods/services making up government consumption expenditures are produced from just one industry (namely, industry $M$).
However, given data from an input/output table, it would be trivial to find demand for output from any sector $m$ that results from gov't consumption expenditures.
Analogous to how we model differentiated consumption goods, we can have a unit of gov't expenditures be made up of outputs from different sectors using a fixed-coefficient matrix. E.g., demand for industry $m$ output from gov't consumption will be given as:
$$
G_{m,t} = \pi_{gov, m} G_{t}
$$
where $\pi_{gov, m}$ is the fraction of a unit of gov't spending that comes from industry $m$.
The price of a unit of gov't consumption will then be:
$$
p_{gov,t} = \sum_{m=1}^M \pi_{gov, m} p_{m}
$$
Government spending in the government's budget constraint, currently $G_{t}$ will be replaced by $p_{gov,t}G_{t}$ since this change will mean that gov't expenditures are not only on the numeraire good (which is the current assumption in OG-Core).
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