Minimax regret decision calculator

Calculate regret by action and state and worst regret by action with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use regret by action and state and worst regret by action to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Actions: name, payoff or cost in each state
A,100,0 B,50,50
Interpret values as benefit or cost
benefit
Regret by action and state
A: 0, 50; B: 50, 0
Worst regret by action
A: 50; B: 50
Minimax-regret action(s)
A, B
Smallest worst-case regret
50

Try another scenario

Actions: name, payoff or cost in each state
A,100,0 B,30,40
Interpret values as benefit or cost
benefit
Regret by action and state
A: 0, 40; B: 70, 0
Worst regret by action
A: 40; B: 70
Minimax-regret action(s)
A
Smallest worst-case regret
40
Calculation method

Calculation method

Regret by action and state

Benefit regret=best state payoff−action payoff. Cost regret=action cost−lowest state cost.

Worst regret by action

Maximum state regret for each action.

Minimax-regret action(s)

Choose action(s) with the smallest maximum regret.

Smallest worst-case regret

Minimum of the action worst-regret values.

Symbols and units
a
Actions: name, payoff or cost in each state
b
Interpret values as benefit or cost

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • A probability-free minimax-regret rule under the entered state table. It reports the rule’s choice, not a universal recommendation or a forecast of which state will occur.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

MIT: decision criteria and minimax regret ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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