Results 21 to 30 of about 1,475 (247)

Explicit Characterization of Feedback Nash Equilibria for Indefinite, Linear-Quadratic, Mean-Field-Type Stochastic Zero-Sum Differential Games with Jump-Diffusion Models

Mathematics, 2020
We consider the indefinite, linear-quadratic, mean-field-type stochastic zero-sum differential game for jump-diffusion models (I-LQ-MF-SZSDG-JD).
Jun Moon, Wonhee Kim
doaj   +1 more source

Backward-forward linear-quadratic mean-field Stackelberg games

Advances in Difference Equations, 2021
This paper studies a controlled backward-forward linear-quadratic-Gaussian (LQG) large population system in Stackelberg games. The leader agent is of backward state and follower agents are of forward state.
Kehan Si, Zhen Wu
doaj   +1 more source

Non-zero sum differential games of anticipated forward-backward stochastic differential delayed equations under partial information and application

Advances in Difference Equations, 2017
This paper is concerned with a non-zero sum differential game problem of an anticipated forward-backward stochastic differential delayed equation under partial information.
Yi Zhuang
doaj   +1 more source

A Class of Pursuit Problems in 3D Space via Noncooperative Stochastic Differential Games

Aerospace
This paper investigates three-dimensional pursuit problems in noncooperative stochastic differential games. By introducing a novel polynomial value function capable of addressing high-dimensional dynamic systems, the forward–backward stochastic ...
Yu Bai, Di Zhou, Zhen He
doaj   +1 more source

Stochastic Differential Games

Journal of Differential Equations, 1972
Consider a stochastic differential system of \(m\) equations \[ d\xi(t)=f(t,\xi(t), y_1,\ldots, y_N)\,dt+ \sigma(t, \xi(t))\,dw(t),\quad \xi(s) =x_0, \] where the player \(y_i\) chooses a control function with values in a control set \(Y_i\). Denote by \(\tau\) the exit time of \(\xi(t)\) from a cylinder \(\{s
openaire   +1 more source

Two-Player Nonzero-Sum Stochastic Differential Games with Switching Controls

Mathematics
In this paper, a two-player nonzero-sum stochastic differential game problem is studied with both players using switching controls. A verification theorem associated with a set of variational inequalities is established as a sufficient criterion for Nash
Yongxin Liu, Hui Min
doaj   +1 more source

Stochastic Differential Games and a Unified Forward–Backward Coupled Stochastic Partial Differential Equation with Lévy Jumps

Mathematics
We establish a relationship between stochastic differential games (SDGs) and a unified forward–backward coupled stochastic partial differential equation (SPDE) with discontinuous Lévy Jumps. The SDGs have q players and are driven by a general-dimensional
Wanyang Dai
doaj   +1 more source

Variance optimality in constrained and unconstrained stochastic differential games

Results in Control and Optimization
The purpose of this paper is to extend the variance optimality criterion to the settings of constrained and unconstrained two-person stochastic differential games.
Beatris Adriana Escobedo-Trujillo, José Daniel López-Barrientos, Dario Colorado-Garrido, Francisco Alejandro Alaffita-Hernández   +3 more
doaj   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Is an Apple an Orange? A Large Language Model Benchmark for Candidate Term Extraction and Subclass Decisions Against Upper Ontologies in Engineering and Materials Science

Advanced Engineering Materials, EarlyView.
Building machine‐readable vocabularies for materials science is slow, expert‐driven work. This study benchmarks 13 large language models on two of its first steps: finding candidate terms in engineering articles and deciding where they belong in a class hierarchy.
Thomas Bjarsch, Maximilian Holland, Klaus Drechsler, Johannes Schilp   +3 more
wiley   +1 more source