Results 41 to 50 of about 318,535 (284)
Abstract and Applied Analysis, 2014 This paper concerns the optimal reinforcement game problem between two opposing forces in military conflicts. With some moderate assumptions, we employ Lanchester equation and differential game theory to develop a corresponding optimization game model ...
Xiangyong Chen, Jianlong Qiu
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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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A Simplest Differential Game on a Plane with Four Participants
Инженерные технологии и системы, 2019 Introduction. The article presents a simplest differential game with four participants. The players move on a plane and can do simple movements. The game under considering comes down to a cooperative differential game.
Viktor D. Shiryayev, Elena V. Shagilova
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, 2012 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 equation of the game turns out to be a double-obstacle quasi-
Cosso, Andrea
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An Optimal Pursuit Differential Game Problem with One Evader and Many Pursuers
Mathematics, 2019 The objective of this paper is to study a pursuit differential game with finite or countably number of pursuers and one evader. The game is described by differential equations in l 2 -space, and integral constraints are imposed on the control ...
Idris Ahmed +4 more
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, 2019 Deep learning is built on the foundational guarantee that gradient descent on an objective function converges to local minima. Unfortunately, this guarantee fails in settings, such as generative adversarial nets, that exhibit multiple interacting losses.
Letcher, A +6 more
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A continuous time tug-of-war game for parabolic $p(x,t)$-Laplace type equations
, 2018 We formulate a stochastic differential game in continuous time that represents the unique viscosity solution to a terminal value problem for a parabolic partial differential equation involving the normalized $p(x,t)$-Laplace operator.
Heino, Joonas
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Smale Strategies for Network Prisoner's Dilemma Games [PDF]
, 2015 Smale's approach \cite{Smale80} to the classical two-players repeated Prisoner's Dilemma game is revisited here for $N$-players and Network games in the framework of Blackwell's approachability, stochastic approximations and differential ...
Behrstock, Kashi +2 more
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Molecular Oncology, EarlyView.Pharmacologic ascorbate (vitamin C) increases ROS, disrupts cellular metabolism, and induces DNA damage in CRPC cells. These effects sensitize tumors to PARP inhibition, producing synergistic growth suppression with olaparib in vitro and significantly delayed tumor progression in vivo. Pyruvate rescue confirms ROS‐dependent activity.
Nicolas Gordon +13 more
wiley +1 more source
Journal of Differential Equations, 1972 Consider a stochastic differential system of \(m\) equations \[ d\xi(t)=f(t,\xi(t), y_1,\ldots, y_N)\,dt+ \sigma(t, \xi(t))\,dw(t),\quad \xi(s) =x_0, \] where the player \(y_i\) chooses a control function with values in a control set \(Y_i\). Denote by \(\tau\) the exit time of \(\xi(t)\) from a cylinder \(\{s
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