Cooperation under Interval Uncertainty
作者： Sirma Zeynep Alparslan-Gok , Sylvia Miquel , Stef H. Tijs
DOI: 10.2139/SSRN.1096056
关键词: Classical theory 、 Value (mathematics) 、 Superadditivity 、 Mathematical economics 、 Mathematics 、 Interval (mathematics) 、 Bondareva–Shapley theorem 、 Cooperative game theory 、 Core (game theory)
摘要: In this paper, the classical theory of two-person cooperative games is extended to with interval uncertainty. The core, balancedness, superadditivity and related topics are studied. Solutions introduced characterizations given.
core.ac.uk
sci-hub.se 参考文章(16)
Rodica Brânzei, Dinko Dimitrov, Stef Tijs, Models in cooperative game theory : crisp, fuzzy, and multi-choice games Springer. ,(2005)
Balbina Casas-Mendez, Luisa Carpente, I. García-Jurado, Anne van den Nouweland, Interval values for strategic games in which players cooperate Research Papers in Economics. ,(2005)
Lloyd S. Shapley, A Value for n-person Games Contributions to the Theory of Games. pp. 307- 317 ,(1952) , 10.1017/CBO9780511528446.003
Ramon E. Moore, Methods and applications of interval analysis ,(1987)
Stef Tijs, Introduction to game theory Hindustan Book Agency. ,(2003) , 10.1007/978-93-86279-17-0
D.A. Dimitrov, S.H. Tijs, R. Brânzei, Shapley-like values for interval bankruptcy games Economics Bulletin. ,vol. 3, pp. 1- 8 ,(2003)
G.-W. Weber, S. Z. Alparslan-Gök, B. Söyler, A New Mathematical Approach in Environmental and Life Sciences: Gene–Environment Networks and Their Dynamics Environmental Modeling & Assessment. ,vol. 14, pp. 267- 288 ,(2009) , 10.1007/S10666-007-9137-Z
Robert J Aumann, Michael Maschler, Game theoretic analysis of a bankruptcy problem from the Talmud Journal of Economic Theory. ,vol. 36, pp. 195- 213 ,(1985) , 10.1016/0022-0531(85)90102-4
Lloyd S. Shapley, ON BALANCED SETS AND CORES Naval Research Logistics Quarterly. ,vol. 14, pp. 453- 460 ,(1967) , 10.1002/NAV.3800140404
Peter Borm, Herbert Hamers, Ruud Hendrickx, Operations Research Games: a Survey Top. ,vol. 9, pp. 139- 199 ,(2001) , 10.1007/BF02579075