Phrase guide

Nash equilibrium

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

The set of choices of players' strategies for which no player can benefit by changing his or her strategy assuming that the other players keep theirs unchanged.

Definition source: English Wiktionary via Wiktextract

Topics: computing, engineering, game-theory, mathematics, natural-sciences, physical-sciences, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

(game theory) a stable state of a system that involves several interacting participants in which no participant can gain by a change of strategy as long as all the other participants remain unchanged

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: equilibrium

History

Etymology

Named after American mathematician John Forbes Nash Jr.

Across languages

Translations

7 source translations are retained for this English entry.

  • Chinese Mandarin: 納什均衡 /纳什均衡 — set of choices of players' strategies
  • Czech: Nashova rovnováha — set of choices of players' strategies
  • German: Nash-Gleichgewicht — set of choices of players' strategies
  • Hindi: नैश साम्यावस्था (naiś sāmyāvasthā) — set of choices of players' strategies
  • Icelandic: Nash-jafnvægi — set of choices of players' strategies
  • Italian: equilibrio di Nash — set of choices of players' strategies
  • Spanish: equilibrio de Nash — set of choices of players' strategies