Geodesic
Stochastic $n$-person prisoner's dilemma: the time-consistency of core and Shapley value
Contributions to game theory and management, Tome 12 (2019), pp. 151-158

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A cooperative finite-stage dynamic $n$-person prisoner's dilemma is considered. The time-consistent subset of the core is proposed. The the Shapley value for the stochastic model of the $n$-person prisoner's dilemma is calculated in explicit form.
Keywords: $n$-person prisoner's dilemma, coalition, dynamic game, core, Shapley value, time consistency. 
@article{CGTM_2019_12_a8,
     author = {Aleksandra L. Grinikh},
     title = {Stochastic $n$-person prisoner's dilemma: the time-consistency of core and {Shapley} value},
     journal = {Contributions to game theory and management},
     pages = {151--158},
     publisher = {mathdoc},
     volume = {12},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2019_12_a8/}
}
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Aleksandra L. Grinikh. Stochastic $n$-person prisoner's dilemma: the time-consistency of core and Shapley value. Contributions to game theory and management, Tome 12 (2019), pp. 151-158. http://geodesic.mathdoc.fr/item/CGTM_2019_12_a8/