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arxiv: 1605.01863 · v2 · pith:N33I7POYnew · submitted 2016-05-06 · 🧮 math.PR

Exercising Control When Confronted by a (Brownian) Spider

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keywords spiderbrownianciteauthorboundsconfrontedconsiderconstruct
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We consider the Brownian "spider," a construct introduced in \cite{Dubins} and in \cite{Pitman}. In this note, the author proves the "spider" bounds by using the dynamic programming strategy of guessing the optimal reward function and subsequently establishing its optimality by proving its excessiveness.

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