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On bargaining sets of convex NTU games. (English) Zbl 1339.91013

The paper consists of four sections. In the introductory Section 1, the authors present briefly the related literature and summarize the findings of the paper. Preliminaries and main concepts are defined in Section 2. Sections 3 and 4 constitute the core of the paper. The authors show that the Aumann-Davis-Maschler bargaining set and the Mas-Colell bargaining set of a non-leveled NTU game which is either ordinal convex or coalition merge convex coincide with the core of the game, but it may not be true if the NTU game is marginal convex.

MSC:

91A12 Cooperative games
Full Text: DOI

References:

[1] DOI: 10.1287/moor.1.4.381 · Zbl 0382.90107 · doi:10.1287/moor.1.4.381
[2] R. J. Aumann and M. Maschler, Advances in Game Theory, Annals of Mathematical Studies 52, eds. M. Dresher, L. S. Shapley and A. W. Tucker (Princeton University Press, Princeton, NJ, 1964) pp. 443–476.
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