We study the convergence of Markov decision processes, composed of a large number of
objects, to optimization problems on ordinary differential equations. We show that the …

In this article, a class of mean-field-type games with discrete-continuous state spaces is
considered. We establish Bellman systems which provide sufficiency conditions for mean …

The purpose of this paper is to show how insight obtained from a mean-field model can be
used to create an architecture for approximate dynamic programming (ADP) for a certain …

The transmission process of information among computers of network is considered as the
procedure of interactive behaviors. In this article, we present a mean field game model for …

In this paper we present analytical mean field techniques that can be used to better
understand the behavior of malware propagation in opportunistic large networks. We …

With the evolution of research on defense strategies in cyber security, the choice of an
optimal strategy has become a key problem in current studies. Focusing on the balance …

In this paper we establish a relationship between chemical dynamics and mean field game
dynamics. We show that chemical reaction networks can be studied using noisy mean field …

We consider large population of interacting mobile devices with individual state dynamics.
Each mobile device has its own battery. The battery state is a modeled as a Markov decision …