Sentence examples for given the strategies of from inspiring English sources

We can think of each lineage as 'trying' to maximize its reproductive fitness (= expected number of grandchildren) through finding strategies that are optimal given the strategies of other lineages.

A set of strategies is a NE just in case no player could improve her payoff, given the strategies of all other players in the game, by changing her strategy.

The coupled problems (32) are usually referred to as best-response dynamics (BRD), because for all k ∈ K, in the k-th iteration, given the strategies of the other players s−k, player k responds by choosing his own strategy s k in order to maximize his own utility function.

The minimization problem in (29) for each player q, given the strategies of the others, is a convex optimization problem, since the objective function is a linear (then convex) function of p q and the set F ~ q ( p − q ), given the power vector p−q of the other players, is a convex set.

A Nash equilibrium [22] is a strategy profile with the property that the strategy of each player is an optimal choice given the strategy of the other players.

Equivalently, a GNE of the game is reached when every user, given the strategy profile of the others, does not get any power decrease by unilaterally changing its own strategy, still keeping the QoS constraint satisfied.

In other words, a Nash equilibrium is a combination of (possibly mixed) strategies such that they all play their best response given the strategy choices of the others.

Focus is given on the strategies of employing synthetic biology and metabolic engineering for the development of microbial strains producing advanced fuels.

Now, let (sigma _j t)) be a vector giving the strategy profile of the jth agent at time t with (C=(1,0)) and (D= 0,1),) and let M be the payoff matrix discussed above.

Thus, it is necessary to characterize a set of BA strategies whereby all the users are satisfied with the utility attained given the BA strategies of other users.

In equilibrium, each employer maximizes profit given the search strategies of the workers and the wages offered by the other employers.