Results 11 to 20 of about 185,040 (291)
Differential Game-Theoretic Models of Cournot Oligopoly with Consideration of the Green Effect
Games, 2023 We built and investigated analytically and numerically a differential game model of Cournot oligopoly with consideration of pollution for the general case and the case of symmetrical agents. We conducted a comparative analysis of selfish agents’ behavior
Guennady Ougolnitsky, Anatoly Usov
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Mathematics, 2022 In this paper, we consider the two-player state and control path-dependent stochastic zero-sum differential game. In our problem setup, the state process, which is controlled by the players, is dependent on (current and past) paths of state and control ...
Jun Moon
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A probabilistic representation for the value of zero-sum differential games with incomplete information on both sides [PDF]
, 2017 We prove that for a class of zero-sum differential games with incomplete information on both sides, the value admits a probabilistic representation as the value of a zero-sum stochastic differential game with complete information, where both players ...
Gensbittel, Fabien, Rainer, Catherine
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Remote Sensing, 2020 This article formulates the concept of games in the field of process control theory in marine sciences and reviews the literature on the possible applications of games. The possible types of game control processes for moving objects are presented.
Józef Lisowski
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Application of Differential Games in Mechatronic Control System
International Journal of Applied Mechanics and Engineering, 2016 Differential games are a combination of game theory and optimum control methods. Their solutions are based on Bellman's principle of optimality. In this paper, the zero-sum differential game theory has been used for the purposes of controlling a ...
Z. Hendzel, P. Penar
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Cemracs 2017: numerical probabilistic approach to MFG [PDF]
ESAIM: Proceedings and Surveys, 2019 This project investigates numerical methods for solving fully coupled forward-backward stochastic differential equations (FBSDEs) of McKean-Vlasov type.
Angiuli Andrea +5 more
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Differential Games and Manual Control [PDF]
IEEE Transactions on Human Factors in Electronics, 1966 Variational methods are used to solve a particular pursuit-evasion differential game. The problem involves the determination of optimal strategies for both the pursuer and evader. The performance measure is the miss distance at some fixed terminal time. Both pursuer and evader have limited control energy.
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Differential Games With Lipschitz Control Functions and Applications to Games With Partial Differential Equations [PDF]
Transactions of the American Mathematical Society, 1976 In §1 we formulate a differential game when the dynamics is the inhomogeneous heat equation. In §2 we state the basic theory of differential games when the controls must choose uniformly Lipschitz control functions. We then prove some general theorems for the case when the controls may choose any measurable control functions.
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Stochastic optimal control and stochastic differential Games [PDF]
, 2021 Η παρούσα διατριβή χωρίζεται σε δύο μέρη. Το πρώτο μέρος ξεκινάει με την κατασκευή μίας νέας προσέγγισης για την μελέτη του προβλήματος του καθορισμού της βέλτιστης επενδυτικής πολιτικής κάτω από την ύπαρξη εσωτερικής πληροφόρησης. Η προσέγγιση αυτή βασίζεται κυρίως σε τεχνικές της θεωρίας στοχαστικού ελέγχου και πιο συγκεκριμένα στην χρήση της ...
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Explicit solutions of some linear-quadratic mean field games
Networks and Heterogeneous Media, 2012 We consider $N$-person differential games involving linear systems affected by white noise, running cost quadratic in the control and in the displacement of the state from a reference position, and withlong-time-average integral cost functional. We solve
Martino Bardi
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