Displaying similar documents to “Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market”

Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market

René Henrion, Jiří Outrata, Thomas Surowiec (2012)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We consider an equilibrium problem with equilibrium constraints (EPEC) arising from the modeling of competition in an electricity spot market (under ISO regulation). For a characterization of equilibrium solutions, so-called M-stationarity conditions are derived. This first requires a structural analysis of the problem, , verifying constraint qualifications. Second, the calmness property of a certain multifunction has to be verified in...

Complementarities and the existence of strong Berge equilibrium

Kerim Keskin, H. Çağrı Sağlam (2014)

RAIRO - Operations Research - Recherche Opérationnelle

Similarity:

This paper studies the existence and the order structure of strong Berge equilibrium, a refinement of Nash equilibrium, for . It is shown that the equilibrium set is a nonempty complete lattice. Moreover, we provide a monotone comparative statics result such that the greatest and the lowest equilibria are increasing.

Global Asymptotic Stability of Equilibria in Models for Virus Dynamics

J. Prüss, R. Zacher, R. Schnaubelt (2008)

Mathematical Modelling of Natural Phenomena

Similarity:

In this paper several models in virus dynamics with and without immune response are discussed concerning asymptotic behaviour. The case of immobile cells but diffusing viruses and T-cells is included. It is shown that, depending on the value of the basic reproductive number of the virus, the corresponding equilibrium is globally asymptotically stable. If < 1 then the virus-free equilibrium has this property, and in case > 1 there...

A geometric lower bound on Grad's number

Alessio Figalli (2008)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

In this note we provide a new geometric lower bound on the so-called Grad's number of a domain in terms of how far is from being axisymmetric. Such an estimate is important in the study of the trend to equilibrium for the Boltzmann equation for dilute gases.