A game can have a mixed-strategy Nash equilibrium . ( In the latter a pure strategy is chosen stochastically with a fixed probability ).
22.
In other words, there is no pair of pure strategies such that neither player would want to switch if told what the other would do.
23.
The stag hunt differs from the Prisoner's Dilemma in that there are two pure strategy Nash equilibria : when both players cooperate and both players defect.
24.
Any pure strategy in this game has a simple counter-strategy where the opponent bids one rank higher, or as low as possible against the King bid.
25.
Henner s intention was to depict this world from a military perspective, a world of pure strategy and logistics that controls space from above and below ."
26.
This game has no pure strategy Nash equilibrium since there is no pure strategy ( heads or tails ) that is a best response to a best response.
27.
This game has no pure strategy Nash equilibrium since there is no pure strategy ( heads or tails ) that is a best response to a best response.
28.
Note that the two definitions are not precisely equivalent : for example, each pure strategy in the coordination game below is an ESS by the first definition but not the second.
29.
This interpretation weakens the predictive power of Nash equilibrium, however, since it is possible in such an equilibrium for each player to " actually " play a pure strategy of Rock.
30.
Even if a game has pure strategy Nash equilibria, it might be that none of those pure strategies are ESS . Consider the Hawk-dove game and Best response for explanation ).
