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Optimal Management and Differential Games in the Presence of Threshold Effects - The Shallow Lake Model

Mercoledi' 2 Novembre 2011 - Puduru Viswanadha Reddy

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Mercoledi' 2 Novembre 2011 alle ore 13:00 in aula 2BC30, Puduru Viswanadha Reddy (Tilburg University, Netherlands) terra' un seminario dal titolo "Optimal Management and Differential Games in the Presence of Threshold Effects - The Shallow Lake Model".

-Abstract
We study optimal control and differential games in a pollution control model called the shallow lake problem. The production function of this model is nonlinear (convex-concave) and as a result, the optimal vector field is known to display several interesting qualitative behaviors such as existence of multiple steady states and Skiba points. In this talk, we approximate this nonlinearity with simple and hysteresis switching and highlight the differences with the smooth case. We discuss some results and open issues.

Rif. int. M. Bardi, P. Mannucci, C. Marchi

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