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The propensity to disrupt and the disruption nucleolus of a characteristic function game

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Abstract

Gately [1974] recently introduced the concept of an individual player's “propensity to disrupt” a payoff vector in a three-person characteristic function game. As a generalisation of this concept we propose the “disruption nucleolus” of ann-person game. The properties and computational possibilities of this concept are analogous to those of the nucleolus itself. Two numerical examples are given.

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References

  • Gately, D.: Sharing the Gains from Regional Cooperation: a Game Theoretic Application to Planning Investment in Electric Power. International Economic Review15 (1), 1974, 195–208.

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  • Grotte, J.M.: Computation of and Observations on the Nucleolus, the Normalised and the Central Game. M.Sc. Thesis, Department of Applied Mathematics, Cornell University, September 1970.

  • Kopelowitz, A.: Computation of the Kernels of Simple Games and the Nucleolus ofN-Person Games. RM No. 31, Research Program in Game Theory and Mathematical Economics, Department of Mathematics, Hebrew University of Jerusalem, September 1967.

  • Littlechild, S.C.: A Simple Expression for the Nucleolus in a Special Case. International Journal of Game Theory3 (1), 1974, 21–29.

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  • Schmeidler, D.: The Nucleolus of a Characteristic Function Game. SIAM Journal of Applied Mathematics17 (6), 1969, 1163–1170.

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Littlechild, S.C., Vaidya, K.G. The propensity to disrupt and the disruption nucleolus of a characteristic function game. Int J Game Theory 5, 151–161 (1976). https://doi.org/10.1007/BF01753316

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  • DOI: https://doi.org/10.1007/BF01753316

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