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首页> 外文会议>European conference on symbolic and quantitative approaches to reasoning with uncertainty >Sure-Wins Under Coherence: A Geometrical Perspective
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Sure-Wins Under Coherence: A Geometrical Perspective

机译：连贯下的胜利必胜：一个几何的观点

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In this contribution we will present a generalization of de Finetti's betting game in which a gambler is allowed to buy and sell unknown events' betting odds from more than one bookmaker. In such a framework, the sole coherence of the books the gambler can play with is not, sufficient, as in the original de Finetti's frame, to bar the gambler from a sure-win opportunity. The notion of joint coherence which we will introduce in this paper characterizes those coherent books on which sure-win is impossible. Our main results provide geometric characterizations of the space of all books which are jointly coherent with a fixed one. As a consequence we will also show that joint coherence is decidable.
机译：在此贡献中，我们将介绍de Finetti的博彩游戏的概括，其中允许赌徒从多家博彩公司购买和出售未知事件的博彩赔率。在这样的框架中，赌徒可以玩的书的唯一一致性不足以像原始的德芬内蒂的框架那样阻止赌徒获得双赢的机会。我们将在本文中介绍的联合连贯性概念是那些不可能确保双赢的连贯性书籍的特征。我们的主要结果提供了所有与固定书本共同连贯的书本空间的几何特征。结果，我们还将证明联合的连贯性是可决定的。

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