Description
Return residentResident-minus-mutantResident and residentMutant-minus-mutantMutant.
Game-theoretic payoffs describe a chosen model of actions and incentives. A deviation, discounted term or local payoff contribution is only one part of the relevant equilibrium or welfare conditions.
Return residentResident-minus-mutantResident and residentMutant-minus-mutantMutant.
When to use this tool
Use Evolutionary Stability One Mutant Payoff Gap when you need one transparent payoff or incentive comparison.
How to use the tool and how it works
- Enter residentResident, mutantResident, residentMutant, mutantMutant. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read primaryGap, secondaryGap, satisfiesPairCondition. Inspect satisfiesPairCondition before interpreting the associated values.
Return residentResident-minus-mutantResident and residentMutant-minus-mutantMutant. Pass the pair condition when the first gap is positive, or exactly zero with the second positive.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| residentResident | Resident Resident | Required. Finite number. |
| mutantResident | Mutant Resident | Required. Finite number. |
| residentMutant | Resident Mutant | Required. Finite number. |
| mutantMutant | Mutant Mutant | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| primaryGap | Primary Gap | Required. Finite number. |
| secondaryGap | Secondary Gap | Required. Finite number. |
| satisfiesPairCondition | Satisfies Pair Condition | Required. Boolean. |
{
"input": {
"residentResident": 3,
"mutantResident": 3,
"residentMutant": 2,
"mutantMutant": 1
},
"output": {
"primaryGap": 0,
"secondaryGap": 1,
"satisfiesPairCondition": true
}
}Limitations and assumptions
- This tests one resident/mutant pair under the two-condition evolutionary-stability comparison, not all possible mutants or population dynamics.
- 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 the complete strategy space, timing and payoff model for an equilibrium claim. Test robustness to assumptions rather than treating a local incentive inequality as a prediction of actual behavior.
References
Similar or alternative tools
- Evolutionary Game Fitness One Strategy Term
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- Selection One Generation Allele Update
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