The modified nucleolus: Properties and axiomatizations

International Journal of Game Theory

Volumn 26, Issue 2, 1997, Pages 147-182

  Sudhölter, Peter ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

Cooperative game; Solution concept

Indexed keywords

EID: 0039502279     PISSN: 00207276     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01295846     Document Type: Article

References (20)

1. Davis M, Maschler M (1965) The kernel of a cooperative game. Naval Research Logist. Quarterly 12: 223-259
2. Einy E (1985) The desirability relation of simple games. Math Social Sc 10: 155-168
3. Kohlberg E (1971) On the nucleolus of a characteristic function game. SIAM Journal Appl Math 20: 62-66
4. Kopelowitz A (1967) Computation of the kernel of simple games and the nucleolus of n-person games. Research Program in Game Th and Math Economics, Dept of Math, The Hebrew University of Jerusalem RM 31
5. Maschler M (1992) The bargaining set, kernel, and nucleolus: a survey. In: Aumann RJ, Hart S (eds) Handbook of Game Theory 1, Elsevier Science Publishers BV, 591-665
6. Maschler M, Peleg B (1966) A characterization, existence proof and dimension bounds for the kernel of a game. Pacific J Math 18: 289-328
7. Maschler M, Peleg B, Shapley LS (1972) The kernel and bargaining set for convex games. Int Journal of Game Theory 1: 73-93
8. Maschler M, Peleg B, Shapley LS (1979) Geometric properties of the kernel, nucleolus, and related solution concepts. Math of Operations Res 4: 303-338
9. Milnor JW (1952) Reasonable outcomes for n-person games. The Rand Corporation 916
10. Ostmann A (1987) On the minimal representation of homogeneous games. Int Journal of Game Theory 16: 69-81
11. Peleg B (1968) On weights of constant-sum majority games. SIAM Journal Appl Math 16: 527-532
12. Peleg B (1988/89) Introduction to the theory of cooperative games. Research Memoranda No 81-88, Center for Research in Math Economics and Game Theory, The Hebrew University, Jerusalem Israel
13. Rosenmüller J (1987) Homogeneous games: recursive structure and computation. Math of Operations Research 12: 309-330
14. Sankaran JK (1992) On finding the nucleolus of an n-person cooperative game. Int Journal of Game Theory 21
15. Schmeidler D (1966) The nucleolus of a characteristic function game. Research Program in Game Th and Math Econ, The Hebrew University of Jerusalem RM 23
16. Shapley LS (1953) A value for n-person games. In: Kuhn H, Tucker AW (eds) Contributions to the Theorie of Games II, Princeton University Press 307-317
17. Shapley LS (1971) Cores of convex games. Int Journal of Game Theory 1: 11-26
18. Sobolev AI (1975) The characterization of optimality principles in cooperative games by functional equations. In: Vorobiev NN (ed) Math Methods Social Sci 6, Academy of Sciences of the Lithunian SSR, Vilnius 95-151 (in Russian)
19. Sudhölter P (1993a) Independence for characterizing axioms of the pre-nucleolus. Working Paper 220, Institute of Mathematical Economics, University of Bielefeld
20. Sudhölter P (1993b) The modified nucleolus of a cooperative game. Habilitation Thesis, University of Bielefeld