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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The complexity of computing Markov perfect equilibrium in general-sum stochastic games
一般 随机博弈 马尔可夫完美均衡 计算复杂性
2023/5/12
Similar to the role of Markov decision processes in reinforcement learning, Markov games (also known as stochastic games) form the basis for the study of multi-agent reinforcement learning and sequenc...
Characterizing equilibrium in epitaxial growth
Characterizing equilibrium epitaxial growth
2015/10/16
Using a kinetic model of epitaxial growth, we describe how geometry controls kinetic pathways through which external deposition influences the state of a vicinal surface. The state of the surface is d...
NON EQUILIBRIUM DENSITY PROFILES IN LORENTZ TUBES WITH THERMOSTATED BOUNDARIES
EQUILIBRIUM DENSITY PROFILES THERMOSTATED BOUNDARIES
2015/9/29
We consider a long Lorentz tube with absorbing boundaries.
Particles are injected to the tube from the left end. We compute the equilibrium density pro les in two cases: the semi-in nite tube (in whi...
Time-Inconsistent Optimal Control Problems and the Equilibrium HJB Equation
time-inconsistent optimal control problem equilibrium value function equilibrium Hamilton Jacobi-Bellman equation
2012/4/18
A general time-inconsistent optimal control problem is considered for stochastic differential equations with deterministic coefficients. Under suitable conditions, a Hamilton-Jacobi-Bellman type equat...
Equivalent Bilevel Programming Form for the Generalized Nash Equilibrium Problem
Generalized Nash equilibrium point Bilevel Programming efficient solution optimal solution
2011/11/17
Generalized Nash Equilibrium problem is widely used but hard to solve. In this paper, we transform the generalized Nash game into a special bilevel programming with one leader and multi-followers by s...
Effect of prey refuge on the dynamics and equilibrium density of
Predator-prey models Stability Limit cycles Prey refuge
2011/10/20
In this paper, we use an analytical approach to study the dynamics of the simplest forms of refuge using by prey. Here we incorporate prey refuge in a widely known continuous model|the Lotka-Volterra ...
On the rate of convergence to equilibrium for a non-isothermal viscous Cahn-Hilliard equation
Partial differential equation Cahn-Hilliard equation Maxwell-Cattaneo's law convergence rate
2011/10/14
In this short note, a model describing non-isothermal fast phase separation processes taking place in a three-dimensional bounded domain is considered. The model consists of a viscous Cahn-Hilliard eq...
Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
Photogravitational:Oblateness:RTBP:Chermnykh-Like problem
2011/9/21
Abstract: We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analyti...
Singular Casimir Elements of the Euler Equation and Equilibrium Points
Singular Casimir Elements Euler Equation Equilibrium Points Analysis of PDEs
2011/10/10
Abstract: The problem of the nonequivalence of the sets of equilibrium points and energy-Casimir extremal points, which occurs in the noncanonical Hamiltonian formulation of equations describing ideal...
Singular Casimir Elements of the Euler Equation and Equilibrium Points
the Euler Equation Equilibrium Points Analysis of PDEs
2011/9/21
Abstract: The problem of the nonequivalence of the sets of equilibrium points and energy-Casimir extremal points, which occurs in the noncanonical Hamiltonian formulation of equations describing ideal...
Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit
continuous system binary jumps non-equilibrium dynamics correlation functions scaling limit Vlasov scaling Poisson measure
2011/9/15
Abstract: Let $\Gamma$ denote the space of all locally finite subsets (configurations) in $\mathbb R^d$. A stochastic dynamics of binary jumps in continuum is a Markov process on $\Gamma$ in which pai...
Bernoulli equilibrium states for surface diffeomorphisms
Equilibrium measures Countable Markov partitions Bernoulli
2011/9/14
Abstract: Suppose f is a $C^{1+\alpha}$ surface diffeomorphism, and m is an equilibrium measure of a Holder continuous potential. We show that if m has positive metric entropy, then f is measure theor...
Equilibrium balking strategies in the single server Markovian queue with catastrophes
Queueing, Catastrophes Balking Nash equilibrium strategies Social optimization
2011/9/2
Abstract: We consider a Markovian queue subject to Poisson generated catastrophes. Whenever a catastrophe occurs, all customers are forced to abandon the system, the server is rendered inoperative and...
Supports of Weighted Equilibrium Measures and Examples
Weighted Pluripotential Theory Extremal Measures
2011/1/17
We analyze the supports of weighted equilibrium measures in Cn. We give explicit examples of families of compact sets which arise as the support of a weighted equilibrium measure for some admissible w...
On the convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions, variation of equilibrium energy and $S$-property of stationary compacts
convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions variation of equilibrium energy $S$-property of stationary compacts
2011/1/17
Исследуется сходимость диагональных нелинейных аппрокси-маций Паде–Чебышёва для многозначных аналитических функ-ций, заданных и вещественнозначных на единичном отрезке [−1, 1].Получен аналог кла...