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Bargaining Disagreement Coordinate Gap Tool

Compare one supplied disagreement payoff coordinate with an explicit reference, without normalization or a bargaining solution.

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Description

Return disagreementCoordinate minus referenceCoordinate as gap.

Cooperative-game calculations compare coalition values, allocated payoffs or voting weights. A single coalition term or party share can be useful in a larger calculation without establishing a complete power index, core allocation or bargaining solution.

Return disagreementCoordinate minus referenceCoordinate as gap.

When to use this tool

Use Bargaining Disagreement Coordinate Gap when you need one explicit coalition, voting or bargaining term.

How to use the tool and how it works

  1. Enter disagreementCoordinate, referenceCoordinate. 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 gap. Use the output convention below.

Return disagreementCoordinate minus referenceCoordinate as gap.1

Input fieldMeaning and unitsAccepted input
disagreementCoordinateDisagreement CoordinateRequired. Finite number.
referenceCoordinateReference CoordinateRequired. Finite number.
Output fieldInterpretationReturned shape
gapDifference on the stated unit and subtraction basis.Required. Finite number.
json
{
  "input": {
    "disagreementCoordinate": 3,
    "referenceCoordinate": 1
  },
  "output": {
    "gap": 2
  }
}

Limitations and assumptions

  • Coordinates share payoff units; the tool neither determines a valid disagreement point nor solves a bargaining problem.
  • 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

Evaluate all required coalitions and allocation constraints for the chosen solution concept. Keep payoff units, quota conventions, feasibility and normalization explicit.

References

  1. Calculation and input contract: game-theory/bargaining-disagreement-coordinate-gap — tool.io

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