Numerical Appromixation of the Value of a Stochastic Differential Game with Asymmetric Information

Banas L, Ferrari G, Randrianasolo TA (2019) Center for Mathematical Economics Working Papers; 630.
Bielefeld: Center for Mathematical Economics.

Diskussionspapier | Veröffentlicht| Englisch
 
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Abstract / Bemerkung
We consider a convexity constrained Hamilton-Jacobi-Bellman-type obstacle problem for the value function of a zero-sum differential game with asymmetric information. We propose a convexity-preserving probabilistic numerical scheme for the approximation of the value function which is discrete w.r.t. the time and convexity variables, and show that the scheme converges to the unique viscosity solution of the considered problem. Furthermore, we generalize the semi-discrete scheme to obtain an implementable fully discrete numerical approximation of the value function and present numerical experiments to demonstrate the properties of the proposed numerical scheme.

1991 Mathematics Subject Classiffication. 65K15,65C20,49N70,49L25,35F21,52A27,52B55
Stichworte
zero-sum stochastic differential games; asymmetric information; probabilistic numerical approximation; discrete convex envelope; convexity constrained Hamilton-Jacobi- Bellmann equation; viscosity solution
Erscheinungsjahr
2019
Band
630
Seite(n)
28
ISSN
0931-6558
Page URI
https://pub.uni-bielefeld.de/record/2939974

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Banas L, Ferrari G, Randrianasolo TA. Numerical Appromixation of the Value of a Stochastic Differential Game with Asymmetric Information. Center for Mathematical Economics Working Papers. Vol 630. Bielefeld: Center for Mathematical Economics; 2019.
Banas, L., Ferrari, G., & Randrianasolo, T. A. (2019). Numerical Appromixation of the Value of a Stochastic Differential Game with Asymmetric Information (Center for Mathematical Economics Working Papers, 630). Bielefeld: Center for Mathematical Economics.
Banas, L., Ferrari, G., and Randrianasolo, T. A. (2019). Numerical Appromixation of the Value of a Stochastic Differential Game with Asymmetric Information. Center for Mathematical Economics Working Papers, 630, Bielefeld: Center for Mathematical Economics.
Banas, L., Ferrari, G., & Randrianasolo, T.A., 2019. Numerical Appromixation of the Value of a Stochastic Differential Game with Asymmetric Information, Center for Mathematical Economics Working Papers, no.630, Bielefeld: Center for Mathematical Economics.
L. Banas, G. Ferrari, and T.A. Randrianasolo, Numerical Appromixation of the Value of a Stochastic Differential Game with Asymmetric Information, Center for Mathematical Economics Working Papers, vol. 630, Bielefeld: Center for Mathematical Economics, 2019.
Banas, L., Ferrari, G., Randrianasolo, T.A.: Numerical Appromixation of the Value of a Stochastic Differential Game with Asymmetric Information. Center for Mathematical Economics Working Papers, 630. Center for Mathematical Economics, Bielefeld (2019).
Banas, Lubomir, Ferrari, Giorgio, and Randrianasolo, Tsiry Avisoa. Numerical Appromixation of the Value of a Stochastic Differential Game with Asymmetric Information. Bielefeld: Center for Mathematical Economics, 2019. Center for Mathematical Economics Working Papers. 630.
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2020-01-13T14:54:50Z
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