Sentence examples for functions of player from inspiring English sources

For semantic games, a strategy profile would be a set {F1, F2}, where each Fi itself is a set, namely a set of strategy functions of player i. 22.

In fact, in real world, the situation that the underlying strategy spaces of players are noncompact and nonlinear spaces and the payoff functions of players are discontinuous is very common.

We point out that the underlying strategy spaces of multiobjective noncooperative game models in [42] are compact finite dimensional spaces and the payoff functions of players are continuous, which restrict the applicable area of models.

In contrast with the multiobjective noncooperative game models in [42], the multiobjective noncooperative game model in Theorem 5.1 has two advantages; that is, the strategy spaces of players do not possess any linear and compact structure and the payoff functions of players need not to be continuous.

For all (iin N), let (f_{i}:Xrightarrow R) be the payoff function of player i.

The value of the game is taken as a function of player one's information structure.

For all (kin mathcal {K}), u k is the utility function of player k.

The utility function of player k at time t n is defined as the load according to (5).

For each i ∈ I, let K i, f i 0, f i denote the strategy set and initial payoff value and payoff function of player i, respectively.

Note that the utility function of player k can be written as follows, u k p k, p − k = ϕ ( p ) − υ k p − k, (8).

U k l ( S k l, S − k l ) or U k l ( S ) denotes the utility function of player k l.