Распознавание биржевых процессов как пуассоновского потока событий двух типов: модели с поощрением и обучением
We introduce simulation models of stock exchange to explore which traders are successful and how their strategies influence to their wealth and probability of bankruptcy. The results of our experiments show that there is a critical level of agent’s experience (or luck) such that agents with this or higher level almost sure will survive on the market on the long run. This critical level is just slightly higher 1/2 and such small value explains why so many people try to trade on the stock exchange. But if trader uses margin trading, the critical level is much higher and shows the risk of excessive losses.
Computer simulation of equilibrium prices for the stock exchange
Mathematical and computer simulation of economic processes.
The article examines the experience of China's investment policy aimed at creating favorable conditions to attract investment, particularly foreign direct investments, to the most important country's industries. In recent years, this policy (the establishment of free economic zones, trade liberalization, the establishment of an appropriate legislative framework, state support for investors) has brought noticeable positive results, but with the beginning of the global financial crisis allowed to avoid the most painful consequences. This experience taking into account all its particularities can be useful for our economy.
We present processes on stock exchange as two random processes one of which reflects the regular regime of economy and the other one–crises. If regular processes are correctly recognized with the probability slightly higher than 1/2, this gives positive average gain to the player. We believe that this very phenomenon lies on the basis of unwillingness of people to expect crises permanently and to try recognizing them.
The paper investigates the optimization methods used by an investor working on the Russian stork market. The efficient sets, corresponding for the two different states of the market (with «moderate» and «rapid» growth rates), are build. The paper denies the necessity of the «deep» diversification of the portfolio on the Russian stork market. Some recommendations concerning the investment portfolio management are formulated.
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.