Advances in Dynamic Game Theory: Numerical Methods, by Steffen Jorgensen, Marc Quincampoix, Thomas L. Vincent

By Steffen Jorgensen, Marc Quincampoix, Thomas L. Vincent

This number of chosen contributions supplies an account of modern advancements in dynamic online game concept and its functions, masking either theoretical advances and new functions of dynamic video games in such components as pursuit-evasion video games, ecology, and economics. Written via specialists of their respective disciplines, the chapters contain stochastic and differential video games; dynamic video games and their functions in quite a few parts, similar to ecology and economics; pursuit-evasion video games; and evolutionary video game conception and purposes. The paintings will function a state-of-the artwork account of contemporary advances in dynamic online game thought and its purposes for researchers, practitioners, and complex scholars in utilized arithmetic, mathematical finance, and engineering.

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Extra resources for Advances in Dynamic Game Theory: Numerical Methods, Algorithms, and Applications to Ecology and Economics (Annals of the International Society of Dynamic Games)

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270, no. 2, 636–656 (2002). , Quincampoix, M. , Existence of a value for Pursuit-Evasion Games with Impulsive Dynamics, Preprint (2003). [31] Crück E. & Saint-Pierre P. Non linear Impulse Target Problems under State Constraint: A Numerical Analysis based on Viability Theory. Set-Valued Analysis. Set-Valued Analysis. 12, no. 4, 383–416 (2004). [32] Da Prato G. & Frankowska H. A stochastic Filippov Theorem, Stochastic Calculus 12, 409–426 (1994). [33] Doyen L. & Seube N. Control of uncertain systems under bounded chattering.

Springer-Verlag, Paris (1994). , Cardaliaguet P. & Quincampoix M. Zero-sum state constrained differential games: Existence of value for Bolza problem, Preprint (2004). [20] Bonneuil N. & Saint-Pierre P. The Hybrid Guaranteed Capture Basin Algorithm in Economics, Preprint (2004). , Quincampoix M. & Rainer C. Existence of stochastic control under state constraints. C. R. Acad. Sci. Paris Sér. I Math. 327, no. 1, 17–22 (1998). , Quincampoix M. & Saint-Pierre P. Some Algorithms for Differential Games with two Players and one Target, RAIRO Mathematical Modeling and Numerical Analysis 28, no.

Impulse differential inclusions: a viability approach to hybrid systems. IEEE Trans. Automat. Control 47, no. 1, 2–20 (2002). , Capuzzo-Dolcetta I. Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Systems and Control: Foundations and Applications. Birkhäuser, Boston (1997). , Jensen R. A geometric characterization of viable sets for controlled degenerate diffusions. Calculus of variations, nonsmooth analysis and related topics. Set-Valued Anal. 10, no. 2–3, 129–141 (2002).

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