摘要翻译:
为了克服在基于对数市场评分规则(LMSR)的组合预测市场中计算/更新价格的#p困难,Chen等人。[5]最近用一个简单的贝叶斯网络来表示比赛组合预测市场中的证券价格,并证明了两类流行的证券是结构保持的。本文将贝叶斯网络应用于一般的组合预测市场,极大地扩展了这一思想。我们揭示了基于LMSR的组合预测市场和概率信念聚合之间的一个非常自然的联系,从而得到了可分解网络结构的所有结构保持证券的完整刻画。值得注意的是,陈等人的主要结果。[5]是我们刻画的推论。然后我们证明了为了使一个非常基本的证券集保持结构,贝叶斯网络的图必须是可分解的。我们还讨论了一些非结构保持证券的逼近技术。
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英文标题:
《Price Updating in Combinatorial Prediction Markets with Bayesian
Networks》
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作者:
David M. Pennock, Lirong Xia
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最新提交年份:
2012
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分类信息:
一级分类:Computer Science 计算机科学
二级分类:Computer Science and Game Theory 计算机科学与博弈论
分类描述:Covers all theoretical and applied aspects at the intersection of computer science and game theory, including work in mechanism design, learning in games (which may overlap with Learning), foundations of agent modeling in games (which may overlap with Multiagent systems), coordination, specification and formal methods for non-cooperative computational environments. The area also deals with applications of game theory to areas such as electronic commerce.
涵盖计算机科学和博弈论交叉的所有理论和应用方面,包括机制设计的工作,游戏中的学习(可能与学习重叠),游戏中的agent建模的基础(可能与多agent系统重叠),非合作计算环境的协调、规范和形式化方法。该领域还涉及博弈论在电子商务等领域的应用。
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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:
To overcome the #P-hardness of computing/updating prices in logarithm market scoring rule-based (LMSR-based) combinatorial prediction markets, Chen et al. [5] recently used a simple Bayesian network to represent the prices of securities in combinatorial predictionmarkets for tournaments, and showed that two types of popular securities are structure preserving. In this paper, we significantly extend this idea by employing Bayesian networks in general combinatorial prediction markets. We reveal a very natural connection between LMSR-based combinatorial prediction markets and probabilistic belief aggregation,which leads to a complete characterization of all structure preserving securities for decomposable network structures. Notably, the main results by Chen et al. [5] are corollaries of our characterization. We then prove that in order for a very basic set of securities to be structure preserving, the graph of the Bayesian network must be decomposable. We also discuss some approximation techniques for securities that are not structure preserving.
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PDF链接:
https://arxiv.org/pdf/1202.3756