KnowraMixed strategyLinked fromLinked fromThe 13 pages that link to Mixed strategy, each with the reason it gives.All 13Broader topic 3Related 9Narrower topic 1Game theoryRelated: Randomization can make a player unpredictable and ensure equilibrium exists.Nash equilibriumBroader topic: Randomized choices can make players indifferent and create equilibria when no pure-strategy profile works.John NashRelated: Allowing randomized strategies is essential to Nash’s general existence theorem.Best responseRelated: Randomization can make a strategy a best response when no pure choice is stable.Zero-sum gameBroader topic: Randomization can prevent an opponent from exploiting predictable choices.Minimax theoremRelated: Randomized strategies let each player secure the theorem’s guaranteed payoff.Theory of Games and Economic BehaviorRelated: Randomized choices let players reach optimal strategies when no pure choice suffices.Dominant strategyRelated: Randomization can be optimal in games where no pure strategy dominates.BluffingRelated: Randomizing when to bluff prevents opponents from reliably inferring strength from behavior.Kakutani fixed-point theoremRelated: Allowing mixed strategies helps make best-response sets nonempty and convex in finite games.Normal-form gameBroader topic: Randomized choices extend the game when no pure-strategy equilibrium exists.Rock paper scissorsNarrower topic: Randomizing among gestures prevents an opponent from exploiting a predictable choice.Game (game theory)Related: Randomized choices can create equilibrium when no pure strategy profile is stable.