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On a Class of Hybrid Differential Games
Dynamic Games and Applications, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dmitry Gromov, Ekaterina V. Gromova
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Stackelberg differential game for insurance under model ambiguity: general divergence
, 2023Jingyi Cao +3 more
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Differential Games with Additive Payoffs
International Game Theory ReviewDifferential games with additive payoffs are considered. A new approach to constructing the characteristic function for such games is defined. Properties of optimality principles such as the core and the Shapley value constructed by applying the new characteristic function are studied. The solutions obtained are demonstrated by means of an example.
Leon A. Petrosyan, Anna V. Tur
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THE PEDESTRIAN PRINCIPLE FOR DIFFERENTIAL GAMES
International Game Theory Review, 2006A dynamic normal formulation for differential games is introduced and the "pedestrian principle" is discussed as a means of dynamically implementing the equilibrium strategy in a single game. Our formulation emphasizes the distinction between a player's rational prediction and the actual evolution of the game dynamics.
RICHARD H. STOCKBRIDGE, ZIYU ZHENG
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An Open-Loop Stackelberg Strategy for the Linear Quadratic Mean-Field Stochastic Differential Game
IEEE Transactions on Automatic Control, 2019This paper is concerned with the open-loop linear–quadratic (LQ) Stackelberg game of the mean-field stochastic systems in finite horizon. By means of two generalized differential Riccati equations, the follower first solves a mean-field stochastic LQ ...
Yaning Lin, Xiushan Jiang, Weihai Zhang
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Uncertainty in Differential Games. [PDF]
, 2001 Differential game theory can be used to model worst-case design problems or to model situations where several interacting authorities make strategic dynamic decisions. In this thesis a number of differential game models has been introduced which can be used to model uncertainty in a differential game framework. These models are based on developments in
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Differential games with partial differential equations
1975Examples of differential games are given, where the state equation is a partial differential equation. They can be solved explicitly and show clearly how the values of the control functions enter in the solution. This enables us to set up a method of solving these games, which should also be applied to more complicated differential games, complementing
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The princess and Monster differential game
1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes, 1979In this game of R. Isaacs, the players are a hider and a searcher. The payoff is the time until capture. The hider is assumed to be mobile within a bounded set $\mathcal{D}$. The searcher has an arbitrarily small detection radius. There is incomplete information in that neither player knows the present or past location of the other.
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Two-person cooperative uncertain differential game with transferable payoffs
Fuzzy Optimization and Decision Making, 2021Yi Zhang +3 more
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Stackelberg differential game for reinsurance: Mean-variance framework and random horizon
Insurance, Mathematics & Economics, 2021Danping Li, V. Young
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