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The inequalities that determine the bargaining set TeX Export

Israel Journal of Mathematics, Vol. 4 (1966), pp. 127-134.

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game_theory transfer

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It is well-known that the payoffs of the various bargaining sets of a cooperative $n$-person game are finite unions of closed convex polyhedra. In this paper, the system of inequalities that determines these polyhedra for the bargaining set $\scr M_1^(i)$ is expressed in explicit form. It turns out that this system also expresses the condition that certain games, derived from the original game and from the potential payoffs, have full-dimensional cores.


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