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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...
On the dynamic programming principle for uniformly nondegenerate stochastic differential games in domains and the Isaacs equations
Dynamic programming principle stochastic games Isaacs equation
2012/5/9
We prove the dynamic programming principe for uniformly nondegenerate stochastic differential games in the framework of time-homogeneous diffusion processes considered up to the first exit time from a...
On the dynamic programming principle for uniformly nondegenerate stochastic differential games in domains
Dynamic programming principle stochastic games Isaacs equation
2012/5/9
We prove the dynamic programming principe for uniformly nondegenerate stochastic differential games in the framework of time-homogeneous diffusion processes considered up to the first exit time from a...
Multigrid methods for two-player zero-sum stochastic games
Multigrid methods two-player zero-sum stochastic games Optimization and Control Numerical Analysis
2011/8/30
Abstract: We develop a fast numerical algorithm for large scale zero-sum stochastic games with perfect information, which combines policy iteration and algebraic multigrid methods. This algorithm can ...
Hamilton-Jacobi Equations and Two-Person Zero-Sum Differential Games with Unbounded Controls
Two-person zero-sum differential games unbounded control Hamilton-Jacobi equation viscosity solution
2011/8/25
Abstract: A two-person zero-sum differential game with unbounded controls is considered. Under proper coercivity conditions, the upper and lower value functions are characterized as the unique viscosi...
Fixation in Evolutionary Games under Non-Vanishing Selection
Non-Vanishing Selection evolutionary game
2010/4/7
One of the most striking effect of fluctuations in evolutionary game theory is the possibility for mutants to fixate (take over) an entire population. Here, we formulate a WKB (Wentzel-Kramers-Brillou...