Multi-leader multi-follower games are a class of hierarchical games in which a collection of leaders compete in a Nash game constrained by the equilibrium conditions of another Nash game amongst the followers. Much of the extant research on this topic is either model specific or relies on weaker notions of equilibria. We observe that when this original game is modified to ensure that the leader...

Natural frequencies of a clamped axially loaded beam carrying an eccentric end rigid body are computed. A linearly varying non-follower axial force representing the beam’s own weight is taken into consideration. An analytical form of the frequency equation of the structure is obtained and solved numerically. The parameters associated with the end rigid body, the mass, the rotary inertia and the...

The proportion of UK people with university degrees by age 30 more than doubled between those born in 1965-69 and those born ten years later. However, the age profile of the graduate wage premium remained largely unchanged across cohorts. We show that these patterns cannot be explained by composition changes. Instead, we present a model in which firms choose between centralized and decentralize...

In this paper an improved current comparator is using flipped voltage follower (FVF) to obtain the single supply voltage. This circuit has short propagation delay and occupies a small chip area. All circuits have been simulated employing Tanner EDA Tool 14.1v for 90nm CMOS technology and a comparison has been performed with its non FVF counterpart to contrast its effectiveness, simplicity, comp...

The mechanisms underlying collective migration are important for understanding development, wound healing, and tumor invasion. Here we focus on cell density to determine its role in collective migration. Our findings show that increasing cell density, as might be seen in cancer, transforms groups from broad collectives to small, narrow streams. Conversely, diminishing cell density, as might occ...

In the present paper, eigenvalue problems for non-self-adjoint linear differential operators smoothly dependent on a vector of real parameters are considered. Bifurcation of eigenvalues along smooth curves in the parameter space is studied. The case of a multiple eigenvalue with the Keldysh chain of arbitrary length is investigated. Explicit expressions describing bifurcation of eigenvalues are...