In this paper, we analyze the problem of determining orbital hypernormal forms—that is, simplest analytical expression that can be obtained for a given autonomous system around an isolated equilibrium point through time-reparametrizations and transformations in state variables. We show computation forms carried out degree by using quasi-homogeneous expansions vector field means reduced near-ide...

Abstract This paper focuses on the study of multistage stochastic vector generalized quasi-variational inequalities with a variable ordering structure. The proposed problems are defined in suitable functional setting relative to finite set final possible states and certain information fields; these formulations multicriteria extension variational inequalities. A relevant aspect is presence nona...

This paper investigates the computational properties of quasi-strict equilibrium, an attractive equilibrium refinement proposed by Harsanyi, which was recently shown to always exist in bimatrix games. We prove that deciding the existence of a quasi-strict equilibrium in games with more than two players is NP-complete. We further show that, in contrast to Nash equilibrium, the support of quasi-s...

The hypothesis of convective quasi-equilibrium states that moist convection reacts almost instantly to drive the atmospheric temperature profile throughout the troposphere to one of a special subset of possible profiles. In a simple case this might consist of a moist adiabat with the saturated moist entropy of the adiabat equaling the moist entropy of the boundary layer. In more complex cases t...

Genetic models incorporating resampling and migration are now fairly well-understood. Problems arise in the analysis, if both selection and mutation are incorporated. This paper addresses some aspects of this problem, in particular the analysis of the long-time behaviour before the equilibrium is reached (quasi-equilibrium, which is the time range of interest in most applications).

This paper offers an equilibrium existence theorem in discontinuous games. We introduce a new notion of continuity, called quasi-weak transfer continuity that guarantees the existence of pure strategy Nash equilibrium in compact and quasiconcave games. We also consider possible extensions and improvements of the main result. Our conditions are simple and easy to verify. We present applications ...

We introduce viscosity approximations by using the shrinking projection method established by Takahashi, Takeuchi, and Kubota, for finding a common element of the set of solutions of the generalized equilibrium problem and the set of fixed points of a quasi-nonexpansive mapping. Furthermore, we also consider the viscosity shrinking projection method for finding a common element of the set of so...

and Applied Analysis 3 then HIDS will reduce to the following fixed point problem P3 : P3 Find v v i∈I ∈ Y such that vi ∈ Fi vi and v ∈ Gi v, yi for all yi ∈ Ti v for all i ∈ I. Example 1.4. For each i ∈ I, let Fi : X × Yi Ui and Gi : Y × Yi Zi be multivalued maps with nonempty values. If Hi and Ai are defined as follows: Hi { yi ∈ Yi : θUi / ∈ Fi ( u, yi )} , Ai ( y ) { zi ∈ Yi : θZi / ∈ Gi ( ...