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Deadweight Loss Triangle Small Tax Tool

Compute the local linear triangle approximation from an explicit tax wedge and quantity reduction.

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Description

loss = taxPerUnit*quantityReduction/2, in currency when the quantity basis matches.

Policy wedges and boundary checks depend on supplied tax, subsidy and floor conventions. A local difference or triangle approximation can describe the stated model without establishing the actual rule, incidence or full welfare effect.

loss = taxPerUnit*quantityReduction/2, in currency when the quantity basis matches.

When to use this tool

Use Deadweight Loss Triangle Small Tax when checking a supplied economic-policy contribution or comparison.

How to use the tool and how it works

  1. Enter taxPerUnit, quantityReduction. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read loss. Use the output convention below.

Require nonnegative taxPerUnit and quantityReduction. loss = taxPerUnit*quantityReduction/2, in currency when the quantity basis matches.1

Input fieldMeaning and unitsAccepted input
taxPerUnitTax Per UnitRequired. Finite number; minimum 0.
quantityReductionQuantity ReductionRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
lossLossRequired. Finite number.
json
{
  "input": {
    "taxPerUnit": 4,
    "quantityReduction": 20
  },
  "output": {
    "loss": 40
  }
}

Limitations and assumptions

  • This is a linear local deadweight-loss triangle, not a general welfare calculation. Preexisting distortions, nonlinear curves, external benefits and the legal tax rule are omitted.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Consult the actual policy and a suitable complete equilibrium and welfare analysis before interpreting a local term as a policy outcome.

References

  1. Calculation and input contract: economics/deadweight-loss-triangle-small-tax — tool.io

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