Is there any equilibrium in dominant strategy
Yes, there can be equilibrium in dominant strategies. In game theory, a dominant strategy is one that yields the best outcome for a player regardless of the strategies chosen by other players.
When all players in a game have a dominant strategy and they all choose to play their dominant strategy, an equilibrium is reached called a dominant strategy equilibrium. In this equilibrium, no player has an incentive to deviate from their dominant strategy because doing so would result in a worse outcome for them.
However, it's important to note that not all games have dominant strategies, and even if they do, dominant strategy equilibrium is not always guaranteed.