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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Adaptive stabilization of non-cooperative stochastic differential games
非合作 随机微分对策 自适应镇定
2023/11/29
We considers the adaptive stabilization problem for a basic class of linear-quadratic non-cooperative stochastic differential games when the systems matrices are unknown to the regulator and the playe...
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...
Gladiator games:Biodiversity can offer protection to weaker species
Gladiator games Biodiversity weaker species
2017/7/20
If you pit a pair of gladiators, one strong and one weak, against each other 10 times, the outcome will likely be the same every time: The stronger competitor will defeat the weak. But if you add into...
A dinner table seats k guests and holds n discrete morsels of food. Guests select morsels in turn until all are consumed. Each guest has a ranking of the morsels according to how much he would enjoy e...
Hat Guessing Games and the Use of Coding for Decentralized Control
Decentralized Control Games
2015/6/19
We study a class of decentralized team decision problems over discrete state spaces with non classical information structures. We present a simple class of problems, where an optimal solution can be o...
Eciency, Fairness and Competitiveness in Nash Bargaining Games
Eciency Fairness Competitiveness Nash Bargaining Games
2012/11/30
Recently,dened the class of Linear Nash Bargaining Games (LNB) and obtained combinatorial, polynomial time algorithms for several games in this class. also denes two natural subclasses within LNB, UNB...
Stochastic differential games involving impulse controls and double-obstacle quasi-variational inequalities
Stochastic differential game Impulse control Quasi-variational inequality Viscosity solution
2012/6/25
We study a two-player zero-sum stochastic differential game with both players adopting impulse controls, on a finite time horizon. The Hamilton-Jacobi-Bellman-Isaacs (HJBI) partial differential equati...
Can Timeouts Change the Outcome of Basketball Games?
Timeouts Outcome of Basketball Games Data Analysis Statistics and Probability
2012/5/29
In basketball, timeouts are believed to reverse the momentum of a game. However, here we show timeouts have no significant effect on the final outcomes of games. Moreover, we find that the timeout fac...
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...
The mechanics of stochastic slowdown in evolutionary games
mechanics of stochastic slowdown evolutionary games Populations and Evolution
2012/5/2
We study the stochastic dynamics of evolutionary games, and focus on the so-called `stochastic slowdown' effect, previously observed in (Altrock et. al, 2010) for simple evolutionary dynamics. Slowdow...
We consider a dynamic version of sender-receiver games, where the sequence of states follows an irreducible Markov chain observed by the sender. Under mild assumptions, we provide a simple characteriz...
Teaching introductory undergraduate Physics using commercial video games
introductory undergraduate Physics commercial video games sophisticated physics specific topics
2011/8/11
Abstract: Commercial video games are increasingly using sophisticated physics simulations to create a more immersive experience for players. This also makes them a powerful tool for engaging students ...
Biased Weak Polyform Achievement Games
biased achievement games priority strategy Combinatorics
2011/8/31
Abstract: In a biased weak $(a,b)$ polyform achievement game, the maker and the breaker alternately mark $a,b$ previously unmarked cells on an infinite board, respectively. The maker's goal is to mark...
Abstract: We study biased {\em orientation games}, in which the board is the complete graph $K_n$, and Maker and Breaker take turns in directing previously undirected edges of $K_n$. At the end of the...