A game can be both Nash and Cournot at the same time.

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Quizplus · Accepted Answer

In a game with multiple firms, it is possible for some firms to use the Nash equilibrium strategy where they assume others will hold their output constant, while other firms use the Cournot equilibrium strategy where they assume others will adjust their output based on market conditions. This type of mixed strategy equilibrium is known as a Nash-Cournot equilibrium. It is possible for a game to have both Nash and Cournot equilibrium. The Nash equilibrium is reached when all players choose their best strategy given the strategies of the other players, while the Cournot equilibrium is reached when players choose their quantity of output simultaneously, taking into account the expected reaction of their competitors. Both types of equilibrium can coexist in a game depending on the specific strategies and rules of the game.

A Game Can Be Both Nash and Cournot at the Same