Self-organization and phase transition in financial markets with multiple choices

Market confidence is essential for successful investing. By incorporating multi-market into the evolutionary minority game, we investigate the effects of investor beliefs on the evolution of collective behaviors and asset prices. When there exists another investment opportunity, market confidence, including overconfidence and under-confidence, is not always good or bad for investment. The roles of market confidence is closely related to market impact. For low market impact, overconfidence in a particular asset makes an investor become insensitive to losses and a delayed strategy adjustment leads to a decline in wealth, and thereafter, one's runaway from the market. For high market impact, under-confidence in a particular asset makes an investor over-sensitive to losses and one's too frequent strategy adjustment leads to a large fluctuation in asset prices, and thereafter, a decrease in the number of agents. At an intermediate market impact, the phase transition occurs. No matter what the market impact is, an equilibrium between different markets exists, which is reflected in the occurrence of similar price fluctuations in different markets. A theoretical analysis indicates that such an equilibrium results from the coupled effects of strategy updating and shift in investment. The runaway of the agents trading a specific asset will lead to a decline in the asset price volatility and such a decline will be inhibited by the clustering of the strategies. A uniform strategy distribution will lead to a large fluctuation in asset prices and such a fluctuation will be suppressed by the decrease in the number of agents in the market. A functional relationship between the price fluctuations and the numbers of agents is found

Coupled effects of local movement and global interaction on contagion

By incorporating segregated spatial domain and individual-based linkage into the SIS (susceptible-infected-susceptible) model, we investigate the coupled effects of random walk and intragroup interaction on contagion. Compared with the situation where only local movement or individual-based linkage exists, the coexistence of them leads to a wider spread of infectious disease. The roles of narrowing segregated spatial domain and reducing mobility in epidemic control are checked, these two measures are found to be conducive to curbing the spread of infectious disease. Considering heterogeneous time scales between local movement and global interaction, a log-log relation between the change in the number of infected individuals and the timescale $\tau$ is found. A theoretical analysis indicates that the evolutionary dynamics in the present model is related to the encounter probability and the encounter time. A functional relation between the epidemic threshold and the ratio of shortcuts, and a functional relation between the encounter time and the timescale $\tau$ are found

The Characteristics of Selected Topics and Content Innovation of Core Textbooks for English Teacher Training—Taking the New Century Teacher Training English Textbook Series as an Example

Teacher education is related to the future talent training of the country and has far-reaching significance. Teacher-training students majoring in English not only need to learn English well but also need to learn how to teach English. Therefore, teacher-training English majors should emphasize the cultivation of English subjects and teaching ability, which should not be limited to either language learning or teaching skills. At present, all levels and types of education attach great importance to the role of teaching materials, and education for future teachers is no exception. It can be said that the quality and level of teaching materials are directly related to teachers’ teaching and students’ learning, and directly related to the quality and specifications of talent training. The article takes the series of textbooks—“English for Teachers in the New Century”—published by Shanghai Foreign Language Education Press as an example. From the perspective of the characteristics of the selected topics and content innovation, it discusses the feathers of “teacher training” and “political thinking” of the core curriculum textbooks for English teacher training. Also, some scientific suggestions will be made to help teachers penetrate the concept of teacher education while cultivating students’ language abilities

Bis(1,10-phenanthroline-κ2 N,N′)(sulfato-κ2 O,O′)cobalt(II) butane-2,3-diol monosolvate

In the title compound, [Co(SO4)(C12H8N2)2]·C4H10O2, the Co2+ ion has a distorted octa­hedral coordination environment composed of four N atoms from two chelating 1,10-phenanthroline ligands and two O atoms from an O,O′-bidentate sulfate anion. The dihedral angle between the two chelating N2C2 groups is 83.48 (1)°. The Co2+ ion, the S atom and the mid-point of the central C—C bond of the butane-2,3-diol solvent mol­ecule are situated on twofold rotation axes. The mol­ecules of the complex and the solvent mol­ecules are held together by pairs of symmetry-related O—H⋯O hydrogen bonds with the uncoordinated O atoms of the sulfate ions as acceptors. The solvent mol­ecule is disordered over two sets of sites with site occupancies of 0.40 and 0.60