Abstract In the 1970s Nicolas proved that coefficients $$p_d(n)$$ pd(n) defined by generating function $$\begin{aligned} \sum _{n=0}^{\infty } p_d(n) \, q^n = \prod _{n=1}^{\infty \...

We give a simple proof of the “concavity of entropy power”.

This paper proposes a discrete analogue of concavity appropriate for potential games with discrete strategy sets. It guarantees that every Nash equilibrium maximizes a potential function. JEL classification: C72.

In this paper, we consider the Robin-Dirichlet problem for a system of nonlinear pseudoparabolic equations with viscoelastic term. By Faedo-Galerkin method, first prove existence and uniqueness solution problem. Next, give sufficient condition to get global decay weak solution. Finally, by concavity blow-up result when initial energy is negative. Furthermore, establish here lifespan finding upp...