Solve strategy matrices using maximin, minimax, and dominance. Test custom payoffs with fast resizing controls. Review outputs, download reports, and compare decisions with confidence.
| Row Strategy | Column A | Column B | Column C | Row Minimum |
|---|---|---|---|---|
| Aggressive | 8 | 2 | 6 | 2 |
| Balanced | 5 | 5 | 5 | 5 |
| Defensive | 3 | 7 | 4 | 3 |
Maximin: For each row, find the minimum payoff. Then choose the largest of those row minimums.
Minimax: For each column, find the maximum payoff. Then choose the smallest of those column maximums.
Saddle point: A saddle point exists when maximin equals minimax. That value is the equilibrium payoff in pure strategies.
Expected payoff: Multiply each payoff by its row probability and column probability, then sum all weighted cells.
Regret: For each column, subtract a cell from the best payoff in that column. Smaller maximum regret is preferred.
2×2 mixed strategy: For matrix values a, b, c, d, use p = (d − c) / (a − b − c + d), q = (d − b) / (a − b − c + d), and value = (ad − bc) / (a − b − c + d).
It analyzes payoff matrices for zero-sum style strategy problems. It reports saddle points, maximin, minimax, regret, dominance, custom expected payoff, and 2×2 mixed strategies.
A saddle point is a payoff that is simultaneously a row minimum and a column maximum. When it exists, both players have a stable pure-strategy outcome.
Then pure strategies do not give a direct equilibrium value. Use the dominance review, regret table, expected payoff section, and the 2×2 mixed solver where applicable.
This page gives an exact closed-form mixed solution for 2×2 matrices. Larger matrices still receive strong decision support through the other strategic measures.
Manual probabilities let you test scenarios and compare expected outcomes. They are useful for sensitivity checks, policy choices, and teaching probability-weighted decisions.
A strategy is strictly dominated when another strategy performs at least as well in every case and better in at least one case. Dominated strategies are usually removable.
The regret matrix shows the loss from not picking the best row in each column. It helps compare strategies when exact equilibrium is unclear.
Yes. The calculator includes CSV export for tabular records and PDF export for the displayed analysis section, including tables and the graph area.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.