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Exact(4)
Firstly, to maximize its payoff, the source will choose an optimal value of as well as an appropriate value of.
The aim of each user is to maximize its payoff with or without cooperation with the other users.
If utility gained from cooperation is greater than utility achieved by noncooperation, the source adaptively chooses the optimal value of and to maximize its payoff.
Players: users in the set ({mathcal{N}}); Strategies: each user (n in {mathcal{N}}) selects its strategy by scheduling household loads to maximize its payoff; Payoffs: (P_{n} left( {varvec{x}_{n},varvec{x}_{ - n},y_{n} } right)) for user n is defined as follows: P_{n} left( {varvec{x}_{n},varvec{x}_{ - n},y_{n} } right) = - F_{n} left( {varvec{x}_{n},varvec{x}_{ - n},y_{n} } right) (29).
Similar(56)
Namely, the leader first predicts the response of the follower which is considered to be rational and then chooses a strategy which maximizes its payoff.
It uses Nash-PSO algorithm to find the Nash equilibrium and maximizes its payoffs in a distributed fashion.
Under the multi-FAPs environment, each user is responsible for selecting a FAP to maximize its own payoff.
In such a noncooperative game setting, each player acts selfishly, aiming to maximize its own payoff, given other players' strategies and regardless of the impact of its strategy may have on other players and thus on the overall performance.
Without communication, assume each player applies the "sure-thing" principle: it maximizes its minimum payoff by determining the minimum it will receive whatever its opponent does.
It will choose that option that maximizes its own payoff.
By denoting the payoff matrices of the transmitter and jammer as A and B, respectively, a best response to the mixed strategy y of the jammer is mixed strategy x∗ of the transmitter that maximizes its expected payoff x ∗ ⊺ Ay.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com