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Diagram 1 illustrates firm 1's best response function, ″ (), given the price set by firm 2. Note, M C {\displaystyle MC} in the diagram stands for marginal cost, c {\displaystyle c} . The Nash Equilibrium ( N {\displaystyle N} ) in the Bertrand model is the mutual best response; an equilibrium where neither firm has an incentive to deviate ...
In game theory, the best response is the strategy (or strategies) which produces the most favorable outcome for a player, taking other players' strategies as given. [1] The concept of a best response is central to John Nash's best-known contribution, the Nash equilibrium, the point at which each player in a game has selected the best response (or one of the best responses) to the other players ...
Response surface methodology uses statistical models, and therefore practitioners need to be aware that even the best statistical model is an approximation to reality. In practice, both the models and the parameter values are unknown, and subject to uncertainty on top of ignorance.
In a non-Bayesian game, a strategy profile is a Nash equilibrium if every strategy in that profile is a best response to every other strategy in the profile; i.e., there is no strategy that a player could play that would yield a higher payoff, given all the strategies played by the other players.
As a solution to the Bertrand paradox in economics, it has been suggested that each firm produces a somewhat differentiated product, and consequently faces a demand curve that is downward-sloping for all levels of the firm's price.
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The best response is to find the value of that maximises given (), i.e. given the best response function of the follower (firm ), the output that maximises the leader's profit is found. Hence, the maximum of Π 1 {\displaystyle \Pi _{1}} with respect to q 1 {\displaystyle q_{1}} is to be found.