A family of triaxial modified Hubble mass models: effects of the additional radial functions

The projected properties of triaxial generalization of the modified Hubble mass models are studied. These models are constructed by adding the additional radial functions, each multiplied by a low-order spherical harmonic, to the models of \citet{ct00}. The projected surface density of mass models can be calculated analytically which allows us to derive the analytic expressions of axial ratio and position angles of major axis of constant density elliptical contours at asymptotic radii. The models are more general than those studied earlier in the sense that the inclusions of additional terms in density distribution, allows one to produce varieties of the radial profile of axial ratio and position angle, in particular, their small scale variations at inner radii. Strong correlations are found to exist between the observed axial ratio evaluated at $0.25 R_{e}$ and at $4 R_{e}$ which occupy well-separated regions in the parameter space for different choices of the intrinsic axial ratios. These correlations can be exploited to predict the intrinsic shape of the mass model, independent of the viewing angles. Using Bayesian statistics, the result of a test case launched for an estimation of the shape of a model galaxy is found to be satisfactory.Comment: 23 pages, 8 figures, accepted for publication in New Astronom

Dynamic Effects on the Stability of International Environmental Agreements

In terms of the number of signatories, one observes both large and small international environmental agreements. The theoretical literature, based on game theory, discusses different concepts and mechanisms for the stability of coalitions and has reached the conclusion that, under farsightedness, both large and small stable coalitions can occur. In the context of a repeated game, this implies that large stable coalitions can also be sustained over time by a simple trigger mechanism, for large enough discount factors. However, if changes in time implement changes in state, this conclusion does not hold anymore: only small stable coalitions can be sustained.IEA’s, Coalitional stability, Dynamics

Comment on "Nash and Stackelberg solutions in a differential game model of capitalism"

Game Theory;Capitalism