Linear quadratic graphon field games (LQ-GFGs) are defined to be LQ which involve a large number of agents that weakly coupled via weighted undirected graph on each node represents an agent. The links the correspond couplings between agents' dynamics, as well individual cost functions, agent attempts minimize. We formulate limit LQ-GFG problems based assumption these graphs lie in sequence conv...

<p style='text-indent:20px;'>In this paper, we analyze mean-field reflected backward stochastic differential equations when the driver has quadratic growth in second unknown <inline-formula><tex-math id="M1">\begin{document}$ z $\end{document}</tex-math></inline-formula>. Using a linearization technique and BMO martingale theory, first apply fixed-point argument to...

In this paper, we give several new results on solvability of a quadratic BSDE whose generator depends also the mean both variables. First, consider such using John-Nirenberg's inequality for BMO martingales to estimate its contribution evolution first unknown variable. Then having an additive expected value in addition usual one. In case, use deterministic shift tra...

This paper studies linear quadratic games with set up costs monotonic on the number of active players, namely, players whose action is non-zero. Such games arise naturally in joint replenishment inventory systems. Building upon a preliminary analysis of the properties of the best response strategies and Nash equilibria for the given game, the main contribution is the study of the same game unde...

1 When patterns occur in the form of groups generated by the same source, distinctions between sources can be exploited to improve accuracy. We present a method for exploiting such ‘style’ consistency using a quadratic discriminant. We show that under reasonable assumptions on the feature and class distributions, the estimation of style parameters is simple and accurate.

We study the evolution of energy distribution and equation state Universe from end inflation until onset either radiation domination (RD) or a transient period matter (MD). use both analytical techniques lattice simulations. consider two-field models where inflaton $\Phi$ has monomial potential after $V(\Phi) \propto |\Phi - v|^p$ ($p\geq2$), is coupled to daughter field $X$ through quadratic-q...