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.
CITATION STYLE
Bonzio, S., Flaminio, T., & Galeazzi, P. (2019). Sure-wins under coherence: A geometrical perspective. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11726 LNAI, pp. 363–373). Springer Verlag. https://doi.org/10.1007/978-3-030-29765-7_30
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