R. J. Aumann and M. Maschler, Game theoretic analysis of a bankruptcy problem from the Talmud, Journal of Economic Theory, vol.36, issue.2, pp.195-213, 1985.
DOI : 10.1016/0022-0531(85)90102-4

C. Bejan and J. C. Gómez, Core extensions for non-balanced TU-games, International Journal of Game Theory, vol.18, issue.3, pp.3-16, 2009.
DOI : 10.1007/s00182-008-0135-4

A. Chateauneuf and J. Jaffray, Some characterizations of lower probabilities and other monotone capacities through the use of M??bius inversion, Mathematical Social Sciences, vol.17, issue.3, pp.263-283, 1989.
DOI : 10.1016/0165-4896(89)90056-5

J. Derks, H. Haller, and H. Peters, The selectope for cooperative games, International Journal of Game Theory, vol.29, issue.1, pp.23-38, 2000.
DOI : 10.1007/s001820050003

S. Fujishige, Submodular functions and optimization, Annals of Discrete Mathematics, vol.58, 2005.

M. Grabisch, k-order additive discrete fuzzy measures and their representation. Fuzzy Sets and Systems, pp.167-189, 1997.

M. Grabisch and T. Li, On the set of imputations induced by the k-additive core, European Journal of Operational Research, vol.214, issue.3, pp.697-702, 2011.
DOI : 10.1016/j.ejor.2011.04.042
URL : https://hal.archives-ouvertes.fr/hal-00625339

M. Grabisch and P. Miranda, On the vertices of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>k</mml:mi></mml:math>-additive core, Discrete Mathematics, vol.308, issue.22, pp.5204-5217, 2008.
DOI : 10.1016/j.disc.2007.09.042

J. C. Harsanyi, A Simplified Bargaining Model for the n-Person Cooperative Game, International Economic Review, vol.4, issue.2, pp.194-220, 1963.
DOI : 10.2307/2525487

P. Miranda and M. Grabisch, k-Balanced games and capacities, European Journal of Operational Research, vol.200, issue.2, pp.465-472, 2010.
DOI : 10.1016/j.ejor.2008.12.020
URL : https://hal.archives-ouvertes.fr/halshs-00445073

B. Peleg and P. Sudhölter, Introduction to the theory of cooperative games, 2003.
DOI : 10.1007/978-1-4615-0308-8

G. C. Rota, On the foundations of combinatorial theory I. Theory of Möbius functions, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, pp.340-368, 1964.

W. Thomson, Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey, Mathematical Social Sciences, vol.45, issue.3, pp.249-297, 2003.
DOI : 10.1016/S0165-4896(02)00070-7

V. Vassil-'ev, Polynomial cores of cooperative games. Optimizacia, pp.5-29, 1978.