Sentence examples for fictitious equilibrium from inspiring English sources

The mass conservation is guaranteed by enforcing a mass conserving rule in the construction of the fictitious equilibrium distribution part.

Figure 14 Comparison of fictitious play to Nash equilibrium strategy.

This updating process is denoted in Algorithm 2. It is known that the convergence of the fictitious play to Nash equilibrium is guaranteed only for several special cases, such as zero-sum games, non-degenerate 2 ×n games with generic payoffs, games solvable by iterated strict dominance and weighted potential games.

Moreover, there are some circumstances (e.g., zero-sum two-person games) in which fictitious play converges to Nash equilibrium behavior.

One can also generalize the fictitious play framework to accommodate correlated equilibrium.

However, as Lloyd Shapley (1964) first showed, there are games in which fictitious play does not always converge to equilibrium behavior.

It is easy to show that, if players engaged in fictitious play enter into a strict Nash equilibrium, then they stay in it forever.

Figure 14 shows the convergence to Nash equilibrium in terms of payoff for fictitious play.

Similar conclusions, although once again less prominent, may be drawn from the upper part of the figure for the transmitter playing fictitious play and jammer playing according to Nash equilibrium.

The stress strain relationship of timber is obtained by superimposing the constitutive law of matrix and the fictitious reinforcements based on the principles of compatibility and equilibrium.

Thus, we can obtain (n_{H}=n_{L}=frac {1}{2}) for the equilibrium temperature T eq. The dimensionless "fictitious magnetization" per site (left <sright >equiv N^{-1} sum _{i} s_{i}) has been constructed to take values +1(−1), angular brackets denote average of ensemble.