Sentence examples for utility vectors from inspiring English sources

An environment is given by a probability distribution over utility vectors that is symmetric across agents and neutral across alternatives.

Thanks to decomposability, utility vectors attached to solutions can be compiled into a graphical structure closely related to junction trees, the so-called GAI network.

The set U contains utility vectors u= u1u2⋯u N ), denoting the payoff to each source, for all possible strategies the players may implement.

All the utility vectors (boldmath {u^{1}_{x_{i}}}) and (boldmath {u^{2}_{x_{i}}}) are then collected in two utility matrices U 1 and U 2 of dimensions X i ·K, where X i is the number of users served in the cell (either X m or X p ).

Given the N sources in the system, the utility vector is denoted as u= u1u2⋯u N ).

Utility vector: u = {u1, u2, …,u N } a vector where each element represents the utility function of the corresponding user.

In our problem, we can consider the utility vector at a correlated equilibrium as the disagreement outcome.

That is, rather than individually focusing on payoff maximization, sources jointly choose a mutually agreeable utility vector and agree to implement the strategies at the jammer.

(3) (F z, x)) is called the utility vector at profile (x in S _{N}) associated to (z in S _{N}).

Step Operation Input Output 1 Solve ICPs at each cell considering the specific users' utilities as well as the power vector p ¯ var t, via the canonical dual algorithm in Section IV.A, deriving cell's optimal utility vector, the normalized Lagrangian multiplier and users' power vector for the specific p ¯ var t.

The utility vector with discounted values for this repeated game at the profile x associated with a profile (z in S _{N}) is begin{aligned} H z, x) &= prod_{iin N} H _{i} z, x) &= prod_{iin N} Biggl(sum _{k = 0}^{infty } rho ^{k}f_{i} bigl( (Pi _{k}z)_{i}, (Pi _{k} x)_{ - i} bigr) Biggr).