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Cournot One Firm Markup Term Tool

Return the interior Cournot first-order-condition markup for constant-slope inverse demand p=a-b*Q.

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Description

priceMinusMarginalCost = firmQuantity*inverseDemandSlope.

An economic model specifies how quantities, prices or marginal values relate under stated assumptions. A derivative, reaction function or first-order-condition term is a local model object rather than an empirical finding or complete equilibrium solution.

priceMinusMarginalCost = firmQuantity*inverseDemandSlope.

When to use this tool

Use Cournot One Firm Markup Term when checking one explicit theoretical economic-model relationship.

How to use the tool and how it works

  1. Enter firmQuantity, inverseDemandSlope. 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 priceMinusMarginalCost. Use the output convention below.

Require nonnegative firmQuantity and positive inverseDemandSlope. priceMinusMarginalCost = firmQuantity*inverseDemandSlope.1

Input fieldMeaning and unitsAccepted input
firmQuantityFirm QuantityRequired. Finite number; minimum 0.
inverseDemandSlopePositive magnitude of inverse-demand decline per unit of total output.Required. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
priceMinusMarginalCostPrice Minus Marginal CostRequired. Finite number.
json
{
  "input": {
    "firmQuantity": 20,
    "inverseDemandSlope": 2
  },
  "output": {
    "priceMinusMarginalCost": 40
  }
}

Limitations and assumptions

  • The slope is the positive magnitude of inverse demand's decline. This is one Cournot first-order-condition term, not a solution for equilibrium quantities or evidence of market power.
  • 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

Use a complete model, defensible parameter estimates and suitable identification before drawing empirical or policy conclusions.

References

  1. Calculation and input contract: economics/cournot-one-firm-markup-term — tool.io

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