The goal of this paper is to establish the general framework of consensus equilibria for Mining-Pool Games in Blockchain Ecosystems, and in particular to explain the stable in the sense for the existence of consensus equilibria related to mining gap game's behaviors by using one new concept...

The goal of this paper is develop a number of new analysis tools for nonlinear analysis under the general framework of p-vector spaces for p iin (0, 1], which would be very useful for the study of nonlinear problems from optimization, nonlinear programming, variational inequality,...

This paper examines how the CAFÉ System developed by using bigdata approach is able to resolve three problems for which the current credit rating market in China facing such as “the rating is falsely high; the differentiation of ​credit rating grades is insufficient; and the poor...

In this paper, we study the general notions of upper and lower variances, which were initially introduced by Peter Walley for the bounded random variables. The properties of upper and lower variances and new formulas for calculation of them are provided. We take US markets for case study, which...

The goal of this paper is to establish a general fixed point theorem for upper semicontinuous set-values mappings in p-vector spaces ( p in (0, 1]), which include topological vector spaces as a special class. These new results provide an answer to Schauder conjecture in the affirmative under the...

The main goal of this paper is to establish a general framework for dynamic behaviors of coupled fractional-order stochastic dynamic systems of particles by using star-coupled models. In particular, the general mechanics on the dynamic behaviors related to the stochastic resonance (SR)...