A symmetric equilibrium of a symmetric game has every player use the same strategy or the same distribution of strategies. Symmetry between players does not require identical behavior across contests with different prizes.
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Symmetric equilibrium is a concept often used in game theory and economics. It refers to a situation in which all players in a game or economic model choose the same strategy, leading to an equilibrium where no player has an incentive to deviate unilaterally from that strategy. In symmetric equilibrium: 1. **Identical Strategies**: All players have access to the same strategies, and they choose the same one.