maximin: meaning, definition, pronunciation and examples

Low
UK/ˈmæksɪmɪn/US/ˈmæksɪˌmɪn/

Technical, Academic, Specialised

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Quick answer

What does “maximin” mean?

In decision theory and game theory, the strategy that aims to maximize the minimum possible gain or payoff.

Audio

Pronunciation

Definition

Meaning and Definition

In decision theory and game theory, the strategy that aims to maximize the minimum possible gain or payoff.

A principle or criterion for making decisions under uncertainty by choosing the option with the best worst-case outcome; a conservative, risk-averse approach. Also refers to the value resulting from this strategy.

Dialectal Variation

British vs American Usage

Differences

No significant differences in meaning or usage. Spelling is identical.

Connotations

Identical. Connotes prudence, risk aversion, and strategic planning in uncertain environments.

Frequency

Extremely rare in general discourse in both varieties, confined almost exclusively to technical fields.

Grammar

How to Use “maximin” in a Sentence

The [decision-maker] adopted a/the maximin [strategy/criterion].The [game's] maximin [value] is calculated.To [verb, e.g., optimize, choose] using a maximin [approach].

Vocabulary

Collocations

strong
maximin strategymaximin criterionmaximin principlemaximin payoffmaximin value
medium
adopt a maximinapply the maximinmaximin solutionmaximin approach
weak
maximin analysismaximin decisionmaximin rule

Examples

Examples of “maximin” in a Sentence

adjective

British English

  • The player's maximin strategy was surprisingly effective.

American English

  • We need to perform a maximin analysis for this investment.

Usage

Meaning in Context

Business

Rare. Might appear in advanced strategic management, risk analysis, or decision-making models under uncertainty.

Academic

Common in specific fields: economics, game theory, operations research, decision theory, political science (e.g., Rawls's 'difference principle' is a maximin principle of justice).

Everyday

Virtually never used.

Technical

The primary register. Used precisely in mathematics, computer science (e.g., in algorithm design), and statistical decision theory.

Vocabulary

Synonyms of “maximin”

Strong

Wald's criterion

Neutral

maximin strategymaximin criterion

Weak

pessimistic criterionrisk-averse strategy

Vocabulary

Antonyms of “maximin”

maximaxminimaxoptimistic criterionrisk-seeking strategy

Watch out

Common Mistakes When Using “maximin”

  • Confusing 'maximin' with 'maximum'.
  • Using it as a verb (e.g., 'to maximin the result').
  • Hyphenating it incorrectly (e.g., 'maxi-min').

FAQ

Frequently Asked Questions

No, they are related but distinct. 'Maximin' aims to maximize the minimum gain (a player's perspective). 'Minimax' aims to minimize the maximum loss (often the opponent's perspective in a zero-sum game). In many two-player zero-sum games, they converge to the same solution.

No, it is not standard usage. It is a noun or an attributive adjective. One would say 'apply the maximin criterion' or 'use a maximin strategy', not 'to maximin'.

It is useful in high-stakes decisions where worst-case outcomes are catastrophic (e.g., military defence planning, critical infrastructure design, insurance, and ethical frameworks like Rawls's theory of justice where the goal is to improve the lot of the least advantaged).

It is considered a pessimistic or conservative approach because it focuses entirely on the worst possible outcome and tries to improve that, rather than aiming for the best average or most likely outcome.

In decision theory and game theory, the strategy that aims to maximize the minimum possible gain or payoff.

Maximin is usually technical, academic, specialised in register.

Maximin: in British English it is pronounced /ˈmæksɪmɪn/, and in American English it is pronounced /ˈmæksɪˌmɪn/. Tap the audio buttons above to hear it.

Learning

Memory Aids

Mnemonic

Think: 'MAXImize the MINimum' → you want to make the worst possible outcome as good as it can be.

Conceptual Metaphor

DECISION-MAKING IS A BATTLE/PREPARATION FOR THE WORST (a defensive, shielding strategy).

Practice

Quiz

Fill in the gap
In a zero-sum game, a player's strategy ensures the highest payoff assuming the opponent plays optimally against them.
Multiple Choice

The maximin principle is best described as: