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Linear Quadratic Stochastic Differential Games Under G-Expectation

Posted on:2022-07-09Degree:MasterType:Thesis
Country:ChinaCandidate:F ChenFull Text:PDF
GTID:2480306491960099Subject:Operational Research and Cybernetics
Abstract/Summary:
In this paper,we consider a two-person zero-sum linear quadratic stochastic differential game under g-expectation.To solve this problem,we introduce the concept of open-loop and closed-loop saddle points.The stationarity condition of the open-loop saddle point is characterized by an adapted solution to a linear forward-backward stochastic differential equations.And the closed-loop saddle point is characterized by the regular solution to a Riccati equation.
Keywords/Search Tags:forward-backward stochastic differential equations, g-expectation, linear quadratic stochastic differential game, stationarity condition, Riccati equation, open-loop saddle point, closed-loop saddle point
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