Abstract
We investigate the equivalence between several notions of bargaining sets which occur in the literature and the core of simple games.
Similar content being viewed by others
References
Anderson RM (1994) Convergence of the Aumann-Davis-Maschler and Geankopolos bargaining sets. Working Paper No 94-223, Institute of Business and Economic Research, University of California at Berkeley
Anderson RM, Trockel W, Zhou L (1994) Nonconvergence of the Mas-Colell and Zhou bargaining sets. Working paper No 94-224, Institute of Business and Economic Research, University of California at Berkeley
Aumann RJ (1964) Market with a continuum of traders. Econometrica 32: 39–50
Aumann RJ, Maschler M (1964) The bargaining set for cooperative games. In: Dresher, Shapley and Tucker (eds) Advances in Game Theory. Princeton NJ Princeton University Press 443–447
Dutta B, Ray D, Sengupta K, Vohra R (1989) A consistent bargaining set. Journal of Economic Theory 49: 93–112
Greenberg J (1990) The theory of social situations: An alternative game theoretic approach. Cambridge University Press
Greenberg J (1992) On the sensitivity of von Neumann and Morgenstern abstract stable sets: The stable and the individual stable bargaining set. International Journal of Game Theory 21: 41–55
Ichiishi T (1981) Super modularity: Application to convex games and to the greedy algorithm for LP. Journal of Economic Theory 25: 283–286
Maschler M, Peleg B, Shapley LS (1972) The kernel and bargaining set for convex games. International Journal of Game Theory 1: 73–93
Mas-Colell A (1989) An equivalence theorem for a bargaining set. Journal of Mathematical Economics 18: 129–138
Rosenmuller J (1981) The theory of games and markets. North Holland Publishing Company
Shapley LS (1971) Cores of convex games. International Journal of Game Theory 1: 11–26
Shapley LS, Shubik M (1984) Convergence of the bargaining set for differentiable market games. Approach to Political Economy, Volume II of Game Theory in the Social Sciences, Cambridge MA MIT Press
Waisman I (1992) Bargaining sets, MS.c Thesis (in Hebrew) Technion Haifa
Author information
Authors and Affiliations
Additional information
We would like to thank the referee for his useful suggestions.
Rights and permissions
About this article
Cite this article
Einy, E., Wettstein, D. Equivalence between bargaining sets and the core in simple games. Int J Game Theory 25, 65–71 (1996). https://doi.org/10.1007/BF01254385
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01254385