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Titlebook: Continuous-time Stochastic Control and Optimization with Financial Applications; Huyên Pham Textbook 2009 Springer-Verlag Berlin Heidelber

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Some elements of stochastic analysis,n this chapter. We mention among others Dellacherie and Meyer [DM80], Jacod [Jac79], Karatzas and Shreve [KaSh88], Protter [Pro90] or Revuz and Yor [ReY91], from which are quoted most of the results recalled here without proof. The reader is supposed to be familiar with the elementary notion of the
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The classical PDE approach to dynamic programming, diffusion and the problem is formulated on finite or infinite horizon. The basic idea of the approach is to consider a family of control problems by varying the initial state values, and to derive some relations between the associated value functions. This principle, called the dynamic programming
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Optimal switching and free boundary problems,newed increasing interest due to its numerous and various applications in economy and finance, in particular for real options. Actually, it provides a suitable modeling framework for the evaluation of optimal investment decisions in capital for firms. Hence, it permits to capture the value of manage
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Backward stochastic differential equations and optimal control,ortant field of research due to its connections with stochastic control, mathematical finance, and partial differential equations. BSDEs provide a probabilistic representation of nonlinear PDEs, which extends the famous Feynman-Kac formula for linear PDEs. As a consequence, BSDEs can be used for des
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Drogenmissbrauch, Obdachlosigkeit, familiäre Gewalt, Umweltzerstörung, Onlinesucht usw. Keine dieser kollektiven Notlagen – sei sie für die Betroffenen auch noch so bedrückend – erlangt von ‚sich aus‘ öffentliche Aufmerksamkeit und politische Anerkennung. Vielen durchaus kritisierbaren Lebenslagen
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