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We study a class of probabilistic cooperative games which can be treated as an extension of the classical cooperative games with transferable utilities.
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Kamionko, V., and Marakulin, V. M., (2020) Shapley’s Value and Its Axiomatization in Games with Prior Probabilities of Coalition Formation. Journal of the New Economic Association, 46, 2020, Available at SSRN: https://ssrn.com/abstract=3524864 or http://dx.doi.org/10.2139/ssrn.3524864
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Laruelle, A., F. Valenciano (2008) Potential, value, and coalition formation. TOP 16(1):73-89
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Ghintran, A., E. González-Aranguëna, and C. Manuel (2012) A probabilistic position value, Annals of Operations Research, 201, 183-196
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Carreras F, Puente M (2015a) Multinomial probabilistic values. Group Decis Negot 24(6):981-991
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Carreras F, Puente M (2015b) Coalitional multinomial probabilistic values. Eur J Oper Res 245(1):236-246
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Kamionko, V. & Marakulin, V. (2020). Shapley’s value and its axiomatization in games with prior probabilities of coalition formation. Journal of the New Economic Association. 46. 12-29
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Borkotokey, S., S. Chakrabarti, R.P. Gilles, L. Gogoi and R. Kumar (2021), Probabilistic Network Values, Mathematical Social Sciences, 113, 169-180
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Chakrabarti, S., Gogoi L., Gilles P.R., Borkotokey, S. and Kumar, R.(2021) Expected Values for Variable Network Games. https://doi.org/10.48550/arXiv.2108.07047
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