No pair of pure strategies is a pair of best replies to the other.
The definition of partner strategies implies that these strategies are best replies to themselves, and thus they are Nash equilibria.
The games we've modeled to this point have all involved players choosing from amongst pure strategies, in which each seeks a single optimal course of action at each node that constitutes a best reply to the actions of others.
(9) A sophisticated type plays best reply to the probability distribution of opponents' strategies by taking the actually observed distribution of strategies in the experiment's subject pool as the estimated probability distribution.
In paradigmatic fictitious play models, each player plays a "best reply" to the observed historical frequency of her opponents' past actions.
A strong (symmetric) Nash-equilibrium strategy (or strong evolutionarily stable strategy- ESS [19]) of such a game is a population strategy that is also uniquely the focal individual's best reply to the other n players of it.
Late bidding may also arise out of equilibrium, as a best reply to incremental bidding.
The history of the island of Java during that period is perhaps the best reply to the question.
Here the best reply for White is controversial.
Based on our chosen definition of consistency, Section 3.3 analyzes consistency in the general sense that a consistent decision is a best reply to a certain point belief.
