Values of non-atomic vector measure games

Israel Journal of Mathematics

Volumn 124, Issue , 2001, Pages 1-27

  Neyman, Abraham ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035648547     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02772605     Document Type: Article

References (12)

1. R. J. Aumann and L. S. Shapley, Values of Non-Atomic Games, Princeton University Press, Princeton, NJ, 1974.
2. A. Dvoretzky, A. Wald and J. Wolfowitz, Relations among certain ranges of vector measures, Pacific Journal of Mathematics 1 (1951), 59-74.
3. S. Hart, Measure-based values of market games, Mathematics of Operations Research 5 (1980), 192-228.
4. S. Hart and A. Neyman, Values of vector measure games: Are they linear combinations of the measures?, Journal of Mathematical Economics 17 (1988), 31-40.
5. A. Lyapunov, Sur les fonctions-vecteurs completement additives, Bulletin of the Academy of Sciences of the USSR, Mathematics Series 4 (1940), 465-478.
6. J.-F. Mertens, The Shapley value in the non-differentiable case, International Journal of Game Theory 17 (1988), 1-65.
7. J.-F. Mertens, Nondifferentiable TU markets: The value, in The Shapley Value (A. Roth, ed.), Cambridge University Press, 1988, pp. 235-264.
8. D. Monderer and A. Neyman, Values of smooth non-atomic games: The method of multilinear approximation, in The Shapley Value (A. Roth, ed.), Cambridge University Press, 1988, pp. 217-234.
9. A. Neyman, Continuous values are diagonal, Mathematics of Operations Research 2 (1977), 338-342.
10. A. Neyman, Weighted majority games have asymptotic value, Mathematics of Operations Research 13 (1988), 556-580.
11. A. Neyman and Y. Tauman, The existence of nondiagonal axiomatic values, Mathematics of Operations Research 1 (1976), 246-250.
12. R. T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.