A β-Core Existence Result and Its Application to Oligopoly Markets

Games and Economic Behavior

Volumn 27, Issue 1, 1999, Pages 153-168

  Zhao, Jingang ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346403153     PISSN: 08998256     EISSN: None     Source Type: Journal    
DOI: 10.1006/game.1998.0654     Document Type: Article

References (18)

1. Aumann R. J. Acceptable Points in General Cooperativen. Contributions to the Theory of Games IV. Annals of Mathematics Studies. 40:1959;Princeton Univ. Press, Princeton.
2. Bondareva O. The Theory of the Core in ann. Vestnik Leningrad. Univ. 13:1962;141-142.
3. Kajii A. A Generalization of Scarf's Theorem: An α-core Existence Theorem without Transitivity or Completeness. J. Econom. Theory. 56:1992;194-205.
4. Kakutani S. A Generalization of Brouwer's Fixed Point Theorem. Duke Math. J. 8:1941;457-459.
5. Kalai E., Smorodinsky M. Other Solutions to Nash's Bargaining Problem. Econometrica. 45:1975;513-518.
6. Nash J. The Bargaining Problem. Econometrica. 18:1950;155-162.
7. Scarf H. On the Existence of a Cooperative Solution for a General Class ofn. J. Econom. Theory. 3:1971;169-181.
8. Schmeidler D. The Nucleolus of a Characteristic Function Game. SIAM J. Appl. Math. 17:1969;1163-1170.
9. Shapley L. S. A Value forN. Kuhn, Tucker. Contributions to the Theory of Games II. Annals of Mathematics Studies. 28:1953;Princeton Univ. Press, Princeton.
10. Shapley L. On Balanced Sets and Cores. Naval Res. Logistics Quart. 14:1967;453-460.
11. Tijs S. H. Bounds for the Core and the τ-Value. Moeschlin, Pallaschke. Game Theory and Mathematical Economics. 1981;North-Holland, Amsterdam.
12. Yannelis N. The Core of an Economy without Ordered Preference. Khan M., Yannelis N. Equilibrium Theory in Infinite Dimensional Spaces. 1991;Springer, New York.
13. Yano M. A Local Theory of Cooperative Games. Internat. J. Game Theory. 19:1990;301-324.
14. Zhao J. The Hybrid Solutions of ann. Games Econom. Behav. 4:1992;145-160.
15. Zhao J. The Hybrid Equilibria and Core Selection in Exchange Economies with Externalities. J. Math. Econom. 26:1996a;387-407.
16. Zhao, J. 1996b, The Stability and the Formation of Coalition Structures in Norm Form TU Games, Department of Economics, Ohio State University.
17. Zhao, J. 1996c, A Necessary and Sufficient Condition for the Convexity in Oligopolistic Games, Department of Economics, Ohio State University.
18. Zhao J. A Cooperative Analysis of Covert Collusion in Oligopolistic Industries. Internat. J. Game Theory. 26:1997;249-266.