Sentence examples for their equilibria from inspiring English sources

We provide new tools for studying asymmetric first price auctions, connecting their equilibria to the ρ-concavity of the underlying type distributions, and showing how one can use surplus expressions for symmetric auctions to bound equilibrium behavior in asymmetric auctions.

To overcome this drawback, we focus on a particular subclass of payoff-monotonic dynamics used to model the evolution of behavior via imitation processes and study the stability of their equilibria when a regularization parameter is allowed to take on negative values.

We show that pH indicator acid-dissociation is fundamentally different when two indicators are loaded within the same nanoparticle, effectively coupling their equilibria, as opposed to being housed in separate sensor nanoparticles in a mixture that simultaneously interact with the sample.

Their equilibria relationships are a function of Eh and pH (Pourbaix 1974).

Unfortunately, most members of class (1) do not possess either of these two nice properties of simple formulas for their equilibria and competitiveness.

It would be tautological to call these agents or their equilibria 'optimal'optimal

STRUCTURE uses a Bayesian approach to identify clusters based on their fit to Hardy Weinberg proportions and their linkage equilibria.

Of course, most games are more complicated than the penalty-kick game, and their Nash equilibria are more difficult to calculate.

Specifically, we sample position auction games from a given distribution, encode them in a computationally efficient representation language, compute their Nash equilibria, and calculate economic quantities of interest.

This is the first study to show that a non-group VIII metal catalyst can catalyse both these reactions to their thermodynamic equilibria, and give greater than 85% methane conversions at 1050 K.

The distribution of the species at the excited state indicate that the most pH-sensitive molecules are 2- 6′-hydroxybenzothiazol-2-yl -2,3-dihydro-4-hydroxypyrrole (Oxyan-1) and 1-(5′-brominated-6′-hydroxybenzothiazol-2- 6′-hydroxybenzothiazol-2-yl -2,3-dihydro-4-hydroxypyrrolemical equilibria consist on the same three species: keto(0), keto(−1) and enol(−2- 6′-hydroxybenzothiazol-2-yl -2,3-dihydro-4-hydroxypyrrole