The core and the steady bargaining set for convex games

The core and the steady bargaining set for convex games Within the class of zero-monotonic and grand coalition superadditive cooperative games with transferable utility, the convexity of a game is characterized by the coincidence of its core and the steady bargaining set. As a consequence it is proved that convexity can also be characterized by the coincidence of the core of a game and the modified Zhou bargaining set à la Shimomura. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Game Theory Springer Journals

The core and the steady bargaining set for convex games

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer-Verlag Berlin Heidelberg
Subject
Economics; Economic Theory/Quantitative Economics/Mathematical Methods; Game Theory, Economics, Social and Behav. Sciences; Behavioral/Experimental Economics; Operations Research/Decision Theory
ISSN
0020-7276
eISSN
1432-1270
D.O.I.
10.1007/s00182-017-0576-8
Publisher site
See Article on Publisher Site

Abstract

Within the class of zero-monotonic and grand coalition superadditive cooperative games with transferable utility, the convexity of a game is characterized by the coincidence of its core and the steady bargaining set. As a consequence it is proved that convexity can also be characterized by the coincidence of the core of a game and the modified Zhou bargaining set à la Shimomura.

Journal

International Journal of Game TheorySpringer Journals

Published: Apr 13, 2017

References

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