Abstract

A solution concept for n-person games is called monotonic if the players, after committing themselves to payoff vectors that solve (in the sense of this concept) the game, can still assure that every individual’s payment grows with the total amount paid. The bargaining set $\mathcal{M}_1^{(i)} $, the kernel, and the nucleolus are shown to be nonmonotonic.

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References

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cover image SIAM Journal on Applied Mathematics
SIAM Journal on Applied Mathematics
Pages: 355 - 358
ISSN (online): 1095-712X

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Submitted: 17 May 1973
Published online: 12 July 2006

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