Importance Of Equilibrium Research Articles

Honesty and deception in populations of selfish, adaptive individuals

AbstractBiologists have mostly studied under what circumstances honest signaling is stable. Stability, however, is not sufficient to explain the emergence of honest signaling. We study the evolution of honest signaling between selfish, adaptive individuals and observe that honest signaling can emerge through learning. More importantly, honest signaling may emerge in cases where it is not evolutionary stable. In such cases, honesty and dishonesty co-exist. Furthermore, honest signaling does not necessarily emerge in cases where it is evolutionary stable. We show that the latter is due to the existence of other, more important equilibria and that the importance of equilibria is related to Pareto-optimality.

An Analytic Approach to Capillary Pressure in Tree-Shaped Networks

This study analyzes the pressure in capillary tree-shaped networks, based on the thermodynamics and the geo- metric description of the network. The presence of equilibrium and non-equilibrium effects on pressure is accounted. In particular, the presence of equilibrium effects is shown to be essential for describing the pressure in the network. An ap- proach to the definition of equilibrium capillary pressure is presented in terms of interfacial energies of the phases but also in terms of the geometry characteristics of the tree-shaped network. Among other, the equilibrium capillary pressure is shown to depend on number of branching levels and number of daughter branches. Finally, a criterion is established to evaluate the importance of equilibrium and non-equilibrium effects on the capillary pressure.

On the importance of equilibrium in finite integral games

THE SUFFICIENT conditions for asymptotic convergence of a continuum of automata to Nash equilibrium in a finite integral game are investigated.