An interaction form is an abstract model of interaction based on a description of power distribution among agents over alternatives. A solution known as the settlement set is defined at any preference profile. Necessary and sufficient conditions for stability, that is the existence of settlements, are established. A Stability Index that plays a role similar to that of the Nakamura Number is def...

We study hedonic coalition formation games in which cooperation among the players is restricted by a graph structure: a subset of players can form a coalition if and only if they are connected in the given graph. We investigate the complexity of finding stable outcomes in such games, for several notions of stability. In particular, we provide an efficient algorithm that finds an individually st...

A new failure criterion was presented to predict the ultimate strength of shale under the triaxial and polyaxial state of stress. A database containing 93 datasets was obtained from the results of the uniaxial, triaxial, polyaxial compressive tests, an indirect tensile test was collected from reliable references, and this test was carried out on the shale samples taken from the southwestern oil...

and Applied Analysis 3 and symmetric positive definite matrices P, R, M, S, Q, satisfying Σ + Ξ + Ξ T + he kh W < 0, [ W U ∗ S − R 22 ] > 0, [ W V ∗ S ] > 0, (7)

How to stay married by J illy Cooper Methuen, 12s. 6d. With a new divorce Act on the statute book and the inevitable actual increase in recorded divorces that will follow such legislation, Marital stability will remain in the

In this paper we investigate the generalized HyersUlam stability of the functional equation f(2x + y) + f(2x − y) = f(x + y) + f(x − y) + 2f(2x)− 2f(x) in fuzzy Banach spaces.

A relation between coprlme fractions and the gap metric is presented. USlng this result we provlde some sufficient condi Hons for BIBO robust stabll1za tion for a very wlde class of systems. These conditions allow the plant and compensator to be disturbed simutaneously. K.e.Y words: Robust stabllization; Gap metric; Coprime fraction.

We distinguish between two types of grasp stability, which we call spatial grasp stability and contact grasp stability. We show via examples that spatial stability cannot capture certain intuitive concepts of grasp stability and hence that any full understanding of grasp stability must include contact stability. We derive a model of how the positions of the points of contact evolve in time on t...

in this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. the stages for prey have been considered. the proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. the model is analyzed by using linear stability analysis to ob...