منابع مشابه
Polymatroid Prophet Inequalities
Consider a gambler and a prophet who observe a sequence of independent, non-negative numbers. The gambler sees the numbers one-by-one whereas the prophet sees the entire sequence at once. The goal of both is to decide on fractions of each number they want to keep so as to maximize the weighted fractional sum of the numbers chosen. The classic result of Krengel and Sucheston (1977-78) asserts th...
متن کاملRisk , uncertainty and prophet : The psychological insights
Economist Frank H. Knight (1885–1972) is commonly credited with defining the distinction between decisions under “risk” (known chance) and decisions under “uncertainty” (unmeasurable probability) in his 1921 book Risk, Uncertainty and Profit. A closer reading of Knight (1921) reveals a host of psychological insights beyond this risk-uncertainty distinction, many of which foreshadow revolutionar...
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Menzel’s commentary is a tightly focused, extended argument and it may be summarized as follows: (a) though Zalta gathers a range of phenomena under a small set of concepts, unfortunately, the framework is a possibilist one; (b) Zalta justifies possibilism by arguing that it provides the simplest and most natural explanation and analysis of such phenomena as ordinary modal discourse; but (c) by...
متن کاملCombinatorial Prophet Inequalities
We introduce a novel framework of Prophet Inequalities for combinatorial valuation functions. For a (non-monotone) submodular objective function over an arbitrary matroid feasibility constraint, we give an O(1)-competitive algorithm. For a monotone subadditive objective function over an arbitrary downward-closed feasibility constraint, we give an O(log n log r)-competitive algorithm (where r is...
متن کاملProphet Inequalities with Limited Information
In the classical prophet inequality, a gambler observes a sequence of stochastic rewards V1, ..., Vn and must decide, for each reward Vi, whether to keep it and stop the game or to forfeit the reward forever and reveal the next value Vi. The gambler’s goal is to obtain a constant fraction of the expected reward that the optimal offline algorithm would get. Recently, prophet inequalities have be...
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ژورنال
عنوان ژورنال: The Biblical World
سال: 1920
ISSN: 0190-3578
DOI: 10.1086/476331