Geodesic
The Kernel of the General-Sum Four-Person Game
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 673-677

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we apply various results and methods of previous papers on the kernel to four-person games.Section 2 contains the basic definitions needed. In §3 we prove that the kernel of the general-sum four-person game consists of a line segment (which may shrink to a point). A method for classifying games according to their kernels is suggested in §4 and is used there to characterize all four-person games whose kernel consists of a non-degenerate interval. In the last section, §5, we offer a bargaining procedure, based on principles established in (1), which leads to the kernel in the case of a non-degenerate interval. 
Peleg, B. The Kernel of the General-Sum Four-Person Game. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 673-677. doi: 10.4153/CJM-1966-068-4
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