The Submodular Secretary Problem Goes Linear
نویسندگان
چکیده
منابع مشابه
The Submodular Secretary Problem
Online auction is an essence of many modern markets, particularly networked markets, in which information about goods, agents, and outcomes is revealed over a period of time, and the agents must make irrevocable decisions without knowing future information. Optimal stopping theory, especially the classic secretary problem, is a powerful tool for analyzing such online scenarios which generally r...
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We study various generalizations of the secretary problem with submodular objective functions. Generally, a set of requests is revealed step-by-step to an algorithm in random order. For each request, one option has to be selected so as to maximize a monotone submodular function while ensuring feasibility. For our results, we assume that we are given an offline algorithm computing an α-approxima...
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We study the submodular secretary problem subject to a cardinality constraint, in long-running scenarios, or under resource constraints. In these scenarios the resources consumed by the algorithm should not grow with the input size, and the online selection algorithm should be an anytime algorithm. We propose a 0.1933-competitive anytime algorithm, which performs only a single evaluation of the...
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This note reanalyzes a non·zero-sum game version of the secretary problem recently treated by Kurano, Nakagami and Yasuda [3], under a modified formulation of the problem. The equilibrium derived differs from the former one and has an interesting assymptotic behavior which reconfirms a main theorem formerly proved by Presman and Sonin [4]. Th" equilibrium value in the limit is a positive number...
متن کاملThe Temp Secretary Problem
We consider a generalization of the secretary problem where contracts are temporary, and for a fixed duration γ. This models online hiring of temporary employees, or online auctions for re-usable resources. The problem is related to the question of finding a large independent set in a random unit interval graph.
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ژورنال
عنوان ژورنال: SIAM Journal on Computing
سال: 2018
ISSN: 0097-5397,1095-7111
DOI: 10.1137/16m1105220