Математическое моделирование политических процессов
Theorems of existence and uniqueness of Cauchy’s problem solution for systems of nonlinear functional and differential equations are proved. During the proof of the theorems the positivity of the Cauchy’s matrix corresponding linear system is used essentially.
On the basis of in-depth case studies of four Russian regions, Kirov and Voronezh oblasts and Krasnoyarsk and Perm' krais, the trade-offs among social and economic policy at the regional level in Russia are examined. All four regional governments seek to develop entrepreneurship while preserving social welfare obligations and improving compensation in the public sector. Richer regions have a greater ability to reconcile social commitments with the promotion of business. Regions differ in their development strategies, some placing greater emphasis on indigenous business development and others seeking to attract federal or foreign investment. Governors have considerable discretion in choosing their strategy so long as they meet basic performance demands set by the federal government such as ensuring good results for the United Russia party. In all four regions, governments consult actively with local business associations whereas organized labor is weak. However, the absence of effective institutions to enforce commitments undertaken by government and its social partners undermines regional capacity to use social policy as a basis for long-term economic development.
The article is devoted to analysis of concepts reputation and reputation management in conditions of modern Russian political reality. The author tries to determine positions of reputation communications in political sphere of Russia, which have a goal of social trust (base of strong civil society) development.
This paper represents an initial report on findings for a study aimed at analyzing several key aspects of middle class development in the Russian regions (subjects of Federation - oblasts, krays, autonomous republics), namely: Federal and regional government programs to stimulate the growth of the middle class (content, tools of implementation, effectiveness); Behavioral strategies and economic behavior (consumption patterns propensity to save, investment) of different sections of Russian middle class; Middle class value orientation and political preferences (including preferences for democracy).
Let k be a field of characteristic zero, let G be a connected reductive algebraic group over k and let g be its Lie algebra. Let k(G), respectively, k(g), be the field of k- rational functions on G, respectively, g. The conjugation action of G on itself induces the adjoint action of G on g. We investigate the question whether or not the field extensions k(G)/k(G)^G and k(g)/k(g)^G are purely transcendental. We show that the answer is the same for k(G)/k(G)^G and k(g)/k(g)^G, and reduce the problem to the case where G is simple. For simple groups we show that the answer is positive if G is split of type A_n or C_n, and negative for groups of other types, except possibly G_2. A key ingredient in the proof of the negative result is a recent formula for the unramified Brauer group of a homogeneous space with connected stabilizers. As a byproduct of our investigation we give an affirmative answer to a question of Grothendieck about the existence of a rational section of the categorical quotient morphism for the conjugating action of G on itself.
Let G be a connected semisimple algebraic group over an algebraically closed field k. In 1965 Steinberg proved that if G is simply connected, then in G there exists a closed irreducible cross-section of the set of closures of regular conjugacy classes. We prove that in arbitrary G such a cross-section exists if and only if the universal covering isogeny Ĝ → G is bijective; this answers Grothendieck's question cited in the epigraph. In particular, for char k = 0, the converse to Steinberg's theorem holds. The existence of a cross-section in G implies, at least for char k = 0, that the algebra k[G]G of class functions on G is generated by rk G elements. We describe, for arbitrary G, a minimal generating set of k[G]G and that of the representation ring of G and answer two Grothendieck's questions on constructing generating sets of k[G]G. We prove the existence of a rational (i.e., local) section of the quotient morphism for arbitrary G and the existence of a rational cross-section in G (for char k = 0, this has been proved earlier); this answers the other question cited in the epigraph. We also prove that the existence of a rational section is equivalent to the existence of a rational W-equivariant map T- - - >G/T where T is a maximal torus of G and W the Weyl group.