A characterization of the core of convex games through Gateaux derivatives

Journal of Economic Theory

Volumn 116, Issue 2, 2004, Pages 229-248

  Marinacci, Massimo ^a   Montrucchio, Luigi ^a  

^a UNIVERSITY OF TURIN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3242668230     PISSN: 00220531     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0531(03)00258-8     Document Type: Article

References (19)

1. Aumann R. Shapley L. Values of Non-Atomic Games 1974 Princeton University Press Princeton, NJ
2. G. Carlier, R.A. Dana, Core of convex distortions of a probability on a non-atomic space, J. Econ. Theory, forthcoming.
3. Choquet G. Theory of capacities Ann. Inst. Fourier 5 1953 131-295
4. Delbaen F. Convex games and extreme points J. Math. Anal. Appl. 45 1974 210-233
5. Dunford N. Schwartz J.T. Linear Operators, Part I: General Theory 1957 Wiley-Interscience London
6. El Kaabouchi A. Mesures dominèes par une capacité alternée d'ordre 2 Proc. Amer. Math. Soc. 112 1994 823-832
7. Epstein L.G. Marinacci M. The core of large differentiable TU games J. Econ. Theory 100 2001 235-273
8. Hart S. Neyman A. Values of non-atomic vector measure games J. Math. Econ. 17 1988 31-40
9. Ichiishi T. Super-modularity: applications to convex games and to the greedy algorithm for LP* J. Econ. Theory 25 1981 283-286
10. Jofre A. Thibault L. D-representation of subdifferentials of directionally Lipschitz functions Proc. Amer. Math. Soc. 110 1990 117-123
11. Mackey G.W. Borel structure in groups and their duals Trans. Amer. Math. Soc. 85 1957 134-165
12. Marinacci M. Decomposition and representation of coalitional games Math. Oper. Res. 21 1996 1000-1015
13. Marinacci M. Montrucchio L. Subcalculus for set functions and cores of TU games J. Math. Econ. 39 2003 1-25
14. M. Marinacci, L. Montrucchio, Ultramodular functions, ICER WP 13/03, 2003.
15. Phelps R.R. Convex Functions, Monotone Operators, and Differentiability Lecture Notes in Mathematics Vol. 1364 1993 Springer New York
16. 1-functions under doubly stochastic transformation Trans. Amer. Math. Soc. 117 1965 92-100
17. Schmeidler D. Subjective probability and expected utility without additivity Econometrica 57 1989 571-587
18. Shapley L.S. Cores of convex games Internat. J. Game Theory 1 1971 11-26
19. Srivastava S.M. A Course on Borel Sets 1998 Springer New York