Kyle and Stan are playing Odds or Evens, where Kyle is designated as the "odd"player and Stan is designated as the "even"player. They decide to play the game 10 times. The mixed-strategy equilibrium in this zero-sum game occurs when

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In a zero-sum game like Odds or Evens, the mixed-strategy equilibrium occurs when both players randomize their strategies to make themselves unpredictable. This prevents either player from gaining a consistent advantage, leading to an equilibrium where both players are playing their ideal mixtures of strategies.

Kyle and Stan Are Playing Odds or Evens, Where Kyle