The least core, kernel and bargaining sets of large games

Economic Theory

Volumn 11, Issue 3, 1998, Pages 585-601

  Einy, Ezra ^a,b   Monderer, Dov ^c   Moreno, Diego ^a  

^a UNIVERSIDAD CARLOS III DE MADRID   (Spain)

^b BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^c TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032065478     PISSN: 09382259     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001990050203     Document Type: Article

References (22)

1. 1. Aumann, R.J., Maschler, M.: The bargaining set for cooperative games. In: Dresher, M., Shapley, L.S., Tucker, A.W. (eds.) Advances in Game Theory, pp. 443-476. Princeton, N.J.: Princeton University Press 1964
2. 2. Aumann, R.J., Shapley, L.S.: Values of nonatomic games. Princeton, N.J.: Princeton University Press 1974
3. 3. Bird, C.G.: Extending the nucleolus to infinite player games. SIAM Journal of Applied Mathematics 31, 474-484 (1976)
4. 4. Davis, M., Maschler, M.: Existence of stable payoff configuration for cooperative games. Bulletin of the American Mathematical Society 69, 106-108 (1963)
5. 5. Davis, M., Maschler, M.: The kernel of a cooperative games. Naval Research Logistic Quarterly 12, 223-259 (1965)
6. 6. Diestel, J.: Sequences and series in Banach spaces. New York: Springer 1984
7. 7. Dunford, N., Schwartz, J.T.: Linear operators, Part I: General Theory. New York: John Wiley 1988
8. 8. Einy, E., Holzman, R., Monderer, D., Shitovitz, B.: Core equivalence theorems for infinite convex games. Journal of Economic Theory (forthcoming) (1996)
9. 9. Kannai, M.: The core and balancedness. In: R.J. Aumann, S. Hart (eds.) Handbook of Game Theory, vol. 1, pp. 543-590. Amsterdam: Elsevier 1992
10. 10. Kelley, J.L.: General Topology. Toronto: van Nostrand 1969
11. 11. Maschler, M.: The bargaining set, kernel, and nucleolus. In: R.J. Aumann, S. Hart (eds.) Handbook of Game Theory, vol. 1, pp. 591-667. Amsterdam: Elsevier 1992
12. 12. Maschler, M., Peleg, B., Shapley, L.S.: The kernel, and the bargaining set for convex games. International Journal of Game Theory 1, 73-93 (1972)
13. 13. Maschler, M., Peleg, B., Shapley, L.S.: Geometric properties of the kernel, nucleolus and related solution concepts. Mathematics of Operations Research 4, 303-338 (1979)
14. 14. Mas-Colell, A.: An equivalence theorem for a bargaining set. Journal of Mathematical Economics 18, 124-138 (1989)
15. 1. Bulletin of the American Mathematical Society 69, 109-110 (1963)
16. 16. Schmeidler, D.: The nucleolus of a characteristic function game. SIAM Journal of Applied Mathematics 17, 1163-1170 (1969)
17. 17. Schmeidler, D.: Cores of exact games, I. Journal of Mathematical Analysis and Applications 40, 214-225 (1972)
18. 18. Shapley, L.S.: Cores of convex games. International Journal of Game Theory 1, 11-26 (1971)
19. 19. Shitovitz, B.: The bargaining set and the core in mixed markets with atoms and atomless sector. Journal of Mathematical Economics 18, 377-383 (1989)
20. 20. Vorha, R.: An existence theorem for a bargaining set. Journal of Mathematical Economics 20, 19-34 (1991)
21. 21. Wesley, E.: An application of non-standard analysis to game theory. Journal of Symbolic Logic 36, 385-394 (1971)
22. 22. Yosida, K., and Hewitt, E.: Finitely additive measures. Transactions of American Mathematical Society 72, 46-66 (1952)