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Sharing a collective probability of success

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  • Dehez, Pierre

Abstract

How to allocate the probability of reaching a target resulting from the joint action of a group of players? This question is framed within transferable utility games. We analyze the properties of games resulting from different scenarios, characterize their core and provide a proper axiomatic foundation to their Shapley value.

Suggested Citation

  • Dehez, Pierre, 2023. "Sharing a collective probability of success," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 122-127.
  • Handle: RePEc:eee:matsoc:v:123:y:2023:i:c:p:122-127
    DOI: 10.1016/j.mathsocsci.2023.03.006
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    10. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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