Description
Calculate a strategy-deviation gain and its nonnegative regret component.
Game-theoretic calculations depend on specified players, actions, payoff direction, probabilities and continuation assumptions. A single incentive term, coalition inequality or candidate best response is only part of a complete equilibrium argument. Supplied preferences and payoffs are model inputs rather than observed behavior or a moral allocation rule.
Calculate a strategy-deviation gain and its nonnegative regret component.
When to use this tool
Use Strategy Deviation Regret when checking the stated local payoff, strategy, matching or repeated-game condition.
How to use the tool and how it works
- Enter realizedPayoff, deviationPayoff. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read signedGain, positiveRegret. Use the output convention below.
Return deviationPayoff-realizedPayoff as signedGain and max(0,gain) as positiveRegret.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| realizedPayoff | Realized Payoff | Required. Finite number. |
| deviationPayoff | Deviation Payoff | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| signedGain | Signed Gain | Required. Finite number. |
| positiveRegret | Positive Regret | Required. Finite number. |
{
"input": {
"realizedPayoff": 4,
"deviationPayoff": 7
},
"output": {
"signedGain": 3,
"positiveRegret": 3
}
}Limitations and assumptions
- Only one supplied deviation is compared; this is not maximized regret, an equilibrium test or a behavioral prediction.
- 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 the complete game, feasible strategy space and justified information/continuation assumptions for equilibrium, welfare or actual decision analysis.
References
Similar or alternative tools
- Repeated Game Deviation Deterrence Gap
Check a normalized repeated-game deviation inequality under a constant punishment continuation.
- Two Player Correlated Recommendation Incentive Term
Calculate one probability-weighted incentive contribution for a correlated recommendation.