Symmetric Core of Cooperative Side Payments Game
Abstract
This paper concerns cooperative side payments games (with transferable utility and discrete) where at least two players are symmetric. The core and symmetric core properties are compared. The problem of symmetric core existence is considered.
Keywords:
cooperative TU game, discrete game, core, symmetric core, balancedness
Downloads
Download data is not yet available.
References
Arin, J., J. Kuipers and D. Vermeulen (2008). An axiomatic approach to egalitarianism in TU-games. International Journal of Game Theory, 37, 565–580.
Aumann, R. J. (1987). Value, symmetry and equal treatment: a comment on scafuri and yannelis. Econometrica, 55(6), 1461–1464.
Azamkhuzhaev, M. Kh. (1991). Nonemptiness conditions for cores of discrete cooperative game. Computational Mathematics and Modeling, 2(4), 406–411.
Bondareva, O. N. (1963). Certain applications of the methods of linear programing to the theory of cooperative games. Problemy Kibernetiki, 10, 119–139 (in Russian).
Branzei, R., S. Tijs and J. Timmer (2000). Collecting information to improve decision making. International Game Theory Review, 3, 1–12.
van den Brink, R. and Y. Funaki (2009). Axiomatizations of a class of equal surplus sharing solutions for cooperative games with transferable utility. Theory and Decision, 67, 303–340.
Dutta, B. and D. Ray (1989). A concept of egalitarianism under participation constraints. Econometrica, 57, 403–422.
Hougaard, J. L., B. Peleg and L. Thorlund-Petersen (2001). On the set of Lorenz-maximal imputations in the core of a balanced game. International Journal of Game Theory, 30, 147–165.
Llerena, F. and R. Carles (2005). On reasonable outcomes and the core. Barcelona Economics Working Paper Series, 160, 1–9.
Muto, S., M. Nakayama, J. Potters and S. Tijs (1988). On big boss games. The Economic Studies Quarterly, 39, 303–321.
Norde, H., V. Fragnelli, I. Garcia-Jurado, F. Patrone and S. Tijs (2002). Balancedness of infrastructure cost games. European Journal of Operational Research, 136, 635–654.
Shapley, L. S. (1967). On balanced sets and cores. Naval Research Logistics Quarterly, 14, 453–460.
de Waegenaere, A., J. Suijs and S. Tijs (2005). Stable profit sharing in cooperative investment. OR Spectrum, 27(1), 85–93.
Watanabe, N. and S. Muto (2008). Stable profit sharing in a patent licensing game: general bargaining outcomes. International Journal of Game Theory, 37(4), 505–523.
Zinchenko A. B. (2012). Semi-symmetric TU-games. Izvestiya vuzov. Severo-Kavkazckii region. Natural science, 5, 10–14 (in Russian).
Downloads
Published
2022-08-09
How to Cite
B. Zinchenko, A. (2022). Symmetric Core of Cooperative Side Payments Game. Contributions to Game Theory and Management, 7. Retrieved from https://gametheory.spbu.ru/article/view/13628
Issue
Section
Articles
License
Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
