Kempten Autumn Talks
Title of the lecture
“Sharing a collective probability of success”
Lecturer
Prof. Dr. Pierre Dehez
CORE – University of Louvain
Louvain-la-Neuve, Belgium
Time of the lecture
December 04, 2020, 11:45 o’clock ETC
Duration
90 minutes (inclusive discussion)
Abstract
How to allocate the probability of success resulting from the joint actions of a group of actors? To address this question, Hou et al. (Operations Research Letters 46, 457-461, 2018) propose to use the Shapley value of a transferable utility game, a “probability game”, assuming probabilistic independence. The purpose of the present note is to analyze the properties of probability games and their duals and to study various solution concepts, in particular the core and the Shapley value. We investigate the axiomatic foundations of the Shapley value on the class of probability games and the link between the different solution concepts, including asymmetric values.
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