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Decoy Choice Dominance One Pair Tool

Pareto dominance of explicit attributes; dominance alone does not predict a decoy-choice effect.

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Description

Check componentwise choice dominance under supplied directions.

Behavioral-economics tasks compare supplied payoffs, reference points, budgets and observed choices. A gap, dominance flag or response fraction illustrates a declared convention without identifying a psychological bias, predicting real choices or selecting a suitable financial action.

Check componentwise choice dominance under supplied directions.

When to use this tool

Use Decoy Choice Dominance One Pair when checking the stated experimental payoff, budget, reference or choice convention.

How to use the tool and how it works

  1. Enter first, second, higherIsBetter. Follow any array-alignment requirements below. 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 firstDominates, secondDominates, equal. Inspect firstDominates, secondDominates, equal before interpreting the associated values.

Check componentwise choice dominance under supplied directions. Require aligned nonempty arrays; orient each first-second gap by higherIsBetter, dominance needs all weakly favorable and at least one strictly favorable, equal means all zero.1

Input fieldMeaning and unitsAccepted input
firstFirstRequired. Array of finite number; maximum items 256.
secondSecondRequired. Array of finite number; maximum items 256.
higherIsBetterHigher Is BetterRequired. Array of boolean; maximum items 256.
Output fieldInterpretationReturned shape
firstDominatesFirst DominatesRequired. Boolean.
secondDominatesSecond DominatesRequired. Boolean.
equalEqualRequired. Boolean.
json
{
  "input": {
    "first": [
      10,
      5
    ],
    "second": [
      8,
      6
    ],
    "higherIsBetter": [
      true,
      false
    ]
  },
  "output": {
    "firstDominates": true,
    "secondDominates": false,
    "equal": false
  }
}

Limitations and assumptions

  • This is Pareto-style numeric comparison, not utility estimation, behavioral choice prediction or proof of a decoy effect.
  • 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 well-defined study design and complete data to estimate behavior; assess real financial rights, consequences and uncertainty independently.

References

  1. Calculation and input contract: behavioral-economics/decoy-choice-dominance-one-pair — tool.io

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