will give a presentation on
Abstract
How to allocate the probability of success resulting from the joint action of a group of players? To address this question, Hou et al. (Operations Research Letters 46, 2018) propose to use the Shapley value of a transferable utility game obtained by assuming probabilistic independence. The purpose of the present note is to analyze the properties of probability games and to study various solution concepts, in particular the core and the Shapley value. We give an axiomatic foundation of the Shapley value on the class of probability games and we investigate the link between different solution concepts, including asymmetric values.
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