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Promotion of cooperation in deme-structured populations with growth-merging dynamics
Ribière D, Abbara A, Bitbol A.
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The Information Dynamics of Generative Diffusion. [PDF]
Stančević D, Ambrogioni L.
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Interpretable AI for neural signal decoding in dementia: an EEG ensemble approach to differential diagnosis. [PDF]
Muhammad F +5 more
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On the definition of a stochastic differential game
Mathematical Systems Theory, 1970where t e R is the time, x ~ R" is the state variable, u = u(t) ~ R p and v = v(t) ~ R q are control variables and w = w(t, ~o)~ R" is some stochastic process defined over the probability space (f2, 0, t0, where f~ is a nonempty abstract set, 0 is a o-algebra of subsets of f2 and tz is a probability measure on 0.
Chris P Tsokos, Emilio Roxin
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An overlapping generations stochastic differential game
Automatica, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David Yeung
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The Existence of Game Value for Path-dependent Stochastic Differential Game
SIAM Journal on Control and Optimization, 2017Summary: In this paper we study a two-player zero-sum stochastic differential game for a path-dependent stochastic system under a recursive path-dependent cost functional. Due to the typical non-Markovian structure, the game value is a random field. Dividing the time horizontal into small intervals, we approximate the path-dependent game by a series of
Fu Zhang
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Switching Games of Stochastic Differential Systems
SIAM Journal on Control and Optimization, 2007A two-player, zero-sum, switching game is formulated for general stochastic differential systems and is studied using a combined dynamic programming and viscosity solution approach. The existence of the game value is proved. For the proof of the related dynamic programming principle (DDP) for the lower and upper value functions, the measurability ...
Tang, S, Hou, SH
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Optimal Play in a Stochastic Differential Game
SIAM Journal on Control and Optimization, 1981This paper considers play in a two-person zero-sum differential game where the dynamics are given by a differential equation with additive white noise. Feedback strategies are employed. Standard results from control theory show that the maximizing player has an optimal response to any pre-announced strategy of the minimizing player.
Elliott, R. J., Davis, M. H. A.
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On a problem of stochastic differential games
Journal of Optimization Theory and Applications, 1976The 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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Stochastic differential portfolio games
Journal of Applied Probability, 1998We study stochastic dynamic investment games in continuous time between two investors (players) who have available two different, but possibly correlated, investment opportunities. There is a single payoff function which depends on both investors’ wealth processes.
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