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Cobweb Linear One Period Update Tool

Clear linear current demand a-b*p against supply c+d*p_previous without imposing stability.

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Description

nextPrice = (demandIntercept-supplyIntercept-supplySlope*previousPrice)/demandSlope.

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.

nextPrice = (demandIntercept-supplyIntercept-supplySlope*previousPrice)/demandSlope.

When to use this tool

Use Cobweb Linear One Period Update when checking one explicit theoretical economic-model relationship.

How to use the tool and how it works

  1. Enter previousPrice, supplyIntercept, supplySlope, demandIntercept, demandSlope. 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 nextPrice. Use the output convention below.

Require positive demandSlope. nextPrice = (demandIntercept-supplyIntercept-supplySlope*previousPrice)/demandSlope.1

Input fieldMeaning and unitsAccepted input
previousPricePrevious PriceRequired. Finite number.
supplyInterceptSupply InterceptRequired. Finite number.
supplySlopeSupply SlopeRequired. Finite number.
demandInterceptDemand InterceptRequired. Finite number.
demandSlopeDemand SlopeRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
nextPriceNext PriceRequired. Finite number.
json
{
  "input": {
    "previousPrice": 10,
    "supplyIntercept": 5,
    "supplySlope": 2,
    "demandIntercept": 100,
    "demandSlope": 3
  },
  "output": {
    "nextPrice": 25
  }
}

Limitations and assumptions

  • This is one lagged-supply linear cobweb update under the stated equation convention. Negative outputs are retained; convergence, expectations and actual market equilibrium are not established.
  • 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/cobweb-linear-one-period-update — tool.io

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