Publications (5)
On the bang-bang type Nash equilibrium point for Markovian nonzero-sum stochastic differential game
Said Hamadène, Rui Mu
In this paper, we study a nonzero-sum stochastic differential game in Markovian framework. We show the existence of the Nash equilibrium point which is discontinuous and of bang-ba…
One Kind of Multiple Dimensional Markovian BSDEs with Stochastic Linear Growth Generators
Rui Mu, Zhen Wu
In this article, we deal with a multiple dimensional coupled Markovian BSDEs system with stochastic linear growth generators with respect to volatility processes. An existence resu…
Existence of Nash Equilibrium Points for Markovian Nonzero-sum Stochastic Differential Games with Unbounded Coefficients
Said Hamadène, Rui Mu
This paper is related to nonzero-sum stochastic differential games in the Markovian framework. We show existence of a Nash equilibrium point for the game when the drift is no longe…
Legal Decision-making for Highway Automated Driving
Xiaohan Ma, Wenhao Yu, Chengxiang Zhao +9
Compliance with traffic laws is a fundamental requirement for human drivers on the road, and autonomous vehicles must adhere to traffic laws as well. However, current autonomous ve…
Risk-sensitive Nonzero-sum Stochastic Differential Game with Unbounded Coefficients
Said Hamadène, Rui Mu
This article is related to risk-sensitive nonzero-sum stochastic differential games in the Markovian framework. This game takes into account the attitudes of the players toward ris…