- "The other lines indicate settings used in the carbon budget algorithm, which modifies the carbon price so that carbon emissions come as close as possible to the budget. The method we are using is the [bisection method](https://en.wikipedia.org/wiki/Bisection_method), which iteratively halves a carbon price interval until emissions are within tolerance of the target. `sample_size` and `tolerance` are parameters used in the bisection algorithm: `tolerance` controls how close emissions need to be to the budget (e.g. 20%) for the algorithm to converge on a solution; `sample_size` is the maximum number of carbon prices that will be tested. Reducing `tolerance` and increasing `sample_size` can help achieve emissions as close as possible to the budget, but the simulation may take much longer to run.\n",
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