Weighted values for non-atomic games: An axiomatic approach

Mathematical Methods of Operations Research

Volumn 50, Issue 1, 1999, Pages 53-63

  Santos, J C ^a   Zarzuelo, J M ^a  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

Aumann shapley value; Game theory; Non atomic games; Weighted values

Indexed keywords

EID: 0039035674     PISSN: 14322994     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Aumann RJ, Shapley LS (1974) Values of non-atomic games. Princeton University Press, Princeton, N.J.
2. Hart S, Mas-Colell A (1989) Potential, value and consistency. Econometrica 57:589-614
3. Hart S, Monderer D (1997) Potentials and weighted values of non-atomic games. Mathematics of Operations Research 22(3):619-630
4. Kalai E, Samet D (1988) Weighted shapley values. In: Roth AE (ed.) The Shapley value, Cambridge University Press, New York
5. Kannai Y (1966) Values of games with a continuum of players. Israel Journal of Mathematics 4:54-58
6. Monderer D, Neyman A (1988) Values of smooth non-atomic games: The method of multilinear approximation. In: Roth AE (ed.) The Shapley value, Cambridge University Press, New York
7. Santos JC, Zarzuelo JM (1998). Mixing wighted values of non-atomic games. International Journal of Game Theory 27:331-342