Modification of semivalues for games with coalition structures

Theory and Decision

Volumn 54, Issue 3, 2003, Pages 185-205

  Amer, Rafael ^a   Giménez, José Miguel ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Coalition structure; Cooperative game; Multilinear extension; Semivalue

Indexed keywords

PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING; THEOREM PROVING;

COALITION STRUCTURE; MULTILINEAR EXTENSION;

GAME THEORY;

EID: 0347533005     PISSN: 00405833     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1027353528853     Document Type: Article

References (7)

1. Carreras, F. and Magaña, A. (1994), The multilinear extension and the modified Banzhaf-Coleman index, Mathematical Social Sciences 28, 215-222.
2. Dragan, I. (1999), Potential and consistency for semivalues of finite cooperative TU games. International Journal of Mathematics, Game Theory and Algebra 9, 85-97.
3. Dubey, P., Neyman, A. and Weber, R.J. (1981), Value theory without efficiency. Mathematics of Operations Research 6, 122-128.
4. Hart, S. and Kurz, M. (1983), Endogenous Formation of Coalitions. Econometrica 51, 1047-1064.
5. Owen, G. (1972), Multilinear extensions of games. Management Science 18, 64-79.
6. Owen, G. (1977), Values of games with a priori unions, in: R. Henn and O. Moeschlin, eds., Essays in Mathematical Economics and Game Theory, Berlin: Springer.
7. Owen, G. (1981), Modification of the Banzhaf-Coleman index for games with a priori unions, in: M.J. Holler, ed., Power, Voting and Voting Power, Physica-Verlag.