In this paper I study the crisis on Chinese stock market in the end of August 2015. I show that the crisis may be described as the change of preferences of the main investors, and that during several months one needs to consider two representative consumers with different utility functions in order to describe the behavior of investors.
Triclustering is an outgrowth of Formal Concept Analysis intented to detect groups of objects with similar properties (clusters) in a context of three sets of entities. In case of social network analysis, for instance, these sets might be users, their interests and events they take part in. Triclustering here can help to detect users with similar interests and make them recommendations on events. This article describes a specific triclustering algorithm and a prototype of visual analytics platform for working with obtained clusters.
This paper describes some previously unexamined features in a multistage approach to transport modelling. The approach described is based on a theorem on the potentiality of the special population game that arises while the model of equilibrium fl ow distribution over paths and the model of correspondence formation are combined.
The paper proposes methods of multiproduct decomposition components of GDP by use, allows the use of macroeconomic models several different price indices. The main distinguishing feature of the proposed decomposition is the lack of reference to the export or import, which solves the problem of incompatibility of the final system of equations and removes the restrictions on the behavior of export and import deflators. A theoretical basis for the procedures is provided, the method of calculating on the statistical data is described and the results of the procedure of decomposition on data on the components of Russia's GDP is presented. The resulting two-product decomposition is valuable not only as an intermediate step in the construction of macroeconomic models, but also allows a number of conclusions about the behavior of macroeconomic agents. The paper also provides a method of decomposition of changes in inventories, which, because of the nature of this indicator in economic models, are usually ignored.
This paper describes a mirror descent method for the stochastic online optimization problems on the simplex optimization and direct product of simplexes.
We prove NP-completeness of nonparametric test for the model of temporal dictator with several dictators with positively-homogeneous utility functions.
Complete transversely affine foliations are studied. The strong transversal equivalence of complete affine foliations is investigated, which is a more refined notion than the transverse equivalence of foliations in the sense of Molino. A global holonomy group of a complete affine foliations is determined and it is proved that this group is the complete invariant of the foliation relatively strong transversal equivalence. A representative of an arbitrary equivalence class is constructed on its complete invariant. This representative is a twodimensional complete transversely affine foliation (𝑀, 𝐹), where 𝑀 is the space of Elenberg- McLane of the type 𝐾(𝜋, 1).