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Risk-Sensitive Mean-Field Stochastic Differential Games

IFAC Proceedings Volumes, 2011
In this paper, we study a class of risk-sensitive mean-field stochastic di fferential games. Under regularity assumptions, we use results from standard risk-sensitive di fferential game theory to show that the mean- field value of the exponentiated cost functional coincides with the value function of a Hamilton-Jacobi-Bellman-Fleming (HJBF) equation ...
Tembine, Hamidou   +2 more
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On a problem of stochastic differential games

Journal of Optimization Theory and Applications, 1976
The process of bargaining between management and union during a strike is modelled by a nonlinear stochastic differential game. It is assumed that the two sides bargain in the mood of a cooperative game. A pair of Pareto-optimal strategies is obtained.
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Adaptive Stabilization of Noncooperative Stochastic Differential Games

SIAM Journal on Control and Optimization
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nian Liu, Lei Guo
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Randomly-Furcating Stochastic Differential Games

2003
This paper presents a class of games — designated as Randomly Furcating Stochastic Differential Game — in which random shocks in the stock dynamics and (future) stochastic changes in payoffs are present. Since future payoff are not known with certainty, the term “randomly furcating” is introduced to emphasize that a particularly useful way to analyze ...
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SOLUTION MECHANISMS FOR COOPERATIVE STOCHASTIC DIFFERENTIAL GAMES

International Game Theory Review, 2006
Cooperative stochastic differential games constitute a highly complex form of decision making under uncertainty. In particular, interactions between strategic behaviors, dynamic evolution, stochastic elements and solution agreement have to be considered simultaneously. This complexity leads to great difficulties in the derivation of dynamically stable
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N-Person Stochastic Differential Games

1975
Necessary and sufficient conditions are given for the non-cooperative equilibrium policies of N players when they are simultaneously controlling the evolution of a stochastic system described by an Ito equation. In the case of perfect information, these conditions are generalizations of the well-known Hamilton-Jacobi equations.
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Linear Exponential Quadratic Stochastic Differential Games

IEEE Transactions on Automatic Control, 2016
In this technical note a two person noncooperative stochastic differential game described by a linear stochastic equation with a Brownian motion and a payoff that is the exponential of a quadratic functional in the state and the control strategies of the two players is explicitly solved. The optimal strategies form a Nash equilibrium.
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A hybrid stochastic differential reinsurance and investment game with bounded memory

European Journal of Operational Research, 2022
Zhongbao Zhou, Helu Xiao, Rui Gao
exaly  

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