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2022-03-08
摘要翻译:
我们提出了一个在线形式的蛋糕切割问题。该模型模拟了玩家在分配资源过程中到达和离开的情况。我们证明了众所周知的公平除法,如切-选法和Dubins-Spanier动刀法,可以适用于这类在线问题。我们提出了在线蛋糕切割程序可能具有的一些理想性质,如在线形式的比例性和无嫉妒性,并确定了不同的在线蛋糕切割程序实际上具有哪些性质。
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英文标题:
《Online Cake Cutting》
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作者:
Toby Walsh
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最新提交年份:
2010
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分类信息:

一级分类:Computer Science        计算机科学
二级分类:Artificial Intelligence        人工智能
分类描述:Covers all areas of AI except Vision, Robotics, Machine Learning, Multiagent Systems, and Computation and Language (Natural Language Processing), which have separate subject areas. In particular, includes Expert Systems, Theorem Proving (although this may overlap with Logic in Computer Science), Knowledge Representation, Planning, and Uncertainty in AI. Roughly includes material in ACM Subject Classes I.2.0, I.2.1, I.2.3, I.2.4, I.2.8, and I.2.11.
涵盖了人工智能的所有领域,除了视觉、机器人、机器学习、多智能体系统以及计算和语言(自然语言处理),这些领域有独立的学科领域。特别地,包括专家系统,定理证明(尽管这可能与计算机科学中的逻辑重叠),知识表示,规划,和人工智能中的不确定性。大致包括ACM学科类I.2.0、I.2.1、I.2.3、I.2.4、I.2.8和I.2.11中的材料。
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英文摘要:
  We propose an online form of the cake cutting problem. This models situations where players arrive and depart during the process of dividing a resource. We show that well known fair division procedures like cut-and-choose and the Dubins-Spanier moving knife procedure can be adapted to apply to such online problems. We propose some desirable properties that online cake cutting procedures might possess like online forms of proportionality and envy-freeness, and identify which properties are in fact possessed by the different online cake procedures.
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PDF链接:
https://arxiv.org/pdf/1007.0614
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