Stochastic n-person Prisoner's Dilemma: the Time-Consistency of Core and Shapley Value

Authors

  • Aleksandra L. Grinikh Saint Petersburg State University

Abstract

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

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References

Hamburger, H. (1973). N-person prisoner's dilemma. Journal of Mathematical. Sociology, 3(1), 27–48.

Petrosyan, L.A. (1993). Differential games of pursuit (Vol. 2). World Scientific, 312.

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Petrosyan, L.A. and Pankratova, Y.B. (2018). New haracteristic function for multistage dynamic games. Vestnik of Saint Petesrburg University, 14(4), 316–324.

Petrosyan, L. et al. (2019). Strong Strategic Support of Cooperation in Multistage Games. International Game Theory Review (IGTR), 21(1), 1–12.

Shapley, L.S. (1953). A value for n-person games. Contributions to the Theory of Games, 2(28), 307–317.

Straffin, P.D. (1993). Game theory and strategy. MAA, 36.

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Published

2022-02-16

How to Cite

Grinikh, A. L. (2022). Stochastic n-person Prisoner’s Dilemma: the Time-Consistency of Core and Shapley Value. Contributions to Game Theory and Management, 12. Retrieved from https://gametheory.spbu.ru/article/view/12906

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