Abstract:This paper analyzes the question of where one should stand when playing darts. If one stands at distance d > 0 and aims at a ∈ R n , then the dart (modelled by a random vector X in R n ) hits a random point given by a + dX. Next, given a payoff function f , one considers sup a Ef (a + dX)and asks if this is decreasing in d; i.e., whether it is better to stand closer rather than farther from the target. Perhaps surprisingly, this is not always the case and understanding when this does or does not occur is the p… Show more
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