Game Theory and Management. Collected abstracts of papers presented on the Fifth International Conference Game Theory and Management
Matching problem with preferences being simplest semiorders is analysed. It is proved that a stable matching always exists. Furthermore, for any stable matching there exists a linear extension of preferences, which does not sontradict stability of a matching. In the college admission problem common goal is to find student-optimal stable matching. We provide a simple criteria (Stable Improvement Cycle existence), that allows to check, whether some particular stable matching is student-side Pareto optimal.
The Working Paper examines the peculiarities of the Russian model of corporate governance and control in the banking sector. The study relies upon theoretical as well as applied research of corporate governance in Russian commercial banks featuring different forms of ownership. We focus on real interests of all stakeholders, namely bank and stock market regulators, bank owners, investors, top managers and other insiders. The Anglo-American concept of corporate governance, based on agency theory and implying outside investors’ control over banks through stock market, is found to bear limited relevance. We suggest some ways of overcoming the gap between formal institutions of governance and the real life.
The paper consists of three main sections. The first is devoted to a discussion of the "state capitalism" concept and the reasons for the growing interest to this phenomenon. It is proposed here to consider the state capitalism not only in terms of the state ownership in major national industrial enterprises and banks, but also taking into account the efficiency of SOEs. In the second section, the new data on the state involvement in the Russian economy are represented, including the shares of the state in the authorized capital of the largest industrial enterprises and banks. Their economic indicators are compared. Contrary to some assumptions P / E values for national champions are lagging behind the average for emerging markets. The third section examines the hypothesis that one of the major challenges faced by the state capitalism is the development of investment incentives for SOEs and their performance. It is shown that the interests of the state as an owner of business enterprises are often in conflict with the interests of the state as a social institution. A number of examples are demonstrated. In order to solve this problem the state should reduce its stakes in SOEs except for those that are of strategic importance. The output of the analysis is that the state capitalism as a social phenomenon has no a long-term perspective. Most of so called “state capitalist” countries will take in future the path of traditional mixed market economy.
A successful realization of the Russia and Belarus Union State’s project SKIF made a strong impulse to supercomputing in both countries. The scale of positive externalities to a large degree was made of the selected open model of intellectual property management. This made supercomputing available not only to the large corporations and state R&D bodies, but to the small and medium business as well. This resulted in the rise of innovation implementation and their contribution to modernization of Russian and Belarusian economies on the whole.
In this article we describe a system allowing companies to organize an efficient inventory management with 40 suppliers of different products. The system consists of four modules, each of which can be improved: demand planning, inventory management, procurement planning and KPI reporting. Described system was implemented in a real company, specializing on perishable products totaling over 600 SKUs. The system helped the company to increase its turnover by 7% while keeping the same level of services.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.
The problem of minimizing the root mean square deviation of a uniform string with clamped ends from an equilibrium position is investigated. It is assumed that the initial conditions are specified and the ends of the string are clamped. The Fourier method is used, which enables the control problem with a partial differential equation to be reduced to a control problem with a denumerable system of ordinary differential equations. For the optimal control problem in the l2 space obtained, it is proved that the optimal synthesis contains singular trajectories and chattering trajectories. For the initial problem of the optimal control of the vibrations of a string it is also proved that there is a unique solution for which the optimal control has a denumerable number of switchings in a finite time interval.
For a class of optimal control problems and Hamiltonian systems generated by these problems in the space l 2, we prove the existence of extremals with a countable number of switchings on a finite time interval. The optimal synthesis that we construct in the space l 2 forms a fiber bundle with piecewise smooth two-dimensional fibers consisting of extremals with a countable number of switchings over an infinite-dimensional basis of singular extremals.
In this paper, we construct a new distribution corresponding to a real noble gas as well as the equation of state for it.