On the interval Shapley value

References

• Gök , SZAlparslan . Cooperative interval games, Ph.D. diss., Institute of Applied Mathematics, Middle East Technical University, 2009
   Google Scholar
• Alparslan Gök , SZ . 2010 . Cooperative Interval Games: Theory and Applications , Germany : Lambert Academic Publishing . ISBN:978-3-8383-3430-1
   Google Scholar
• Alparslan Gök , SZ , Branzei , R , Fragnelli , V and Tijs , S . 2008 . Sequencing Interval Situations and Related Games , Vol. 63 , The Netherlands : Tilburg University, Center for Economic Research . CentER DP (to appear in (CJOR), DOI: 10.1007/s10100-011-0226-3)
   Google Scholar
• Alparslan Gök , SZ , Branzei , R and Tijs , S . 2009 . Convex interval games . J. Appl. Math. Decis. Sci. , 2009 : 14 Article ID 342089, DOI: 10.1115/2009/342089
   Google Scholar
• Alparslan Gök , SZ , Branzei , R and Tijs , S . 2009 . Airport interval games and their Shapley value . Oper. Res. Decisions , 2 : 9 – 18 .
   Google Scholar
• Alparslan Gök , SZ , Branzei , R and Tijs , S . 2010 . The interval Shapley value: An axiomatization . CJOR , 18 : 131 – 140 . DOI: 10.1007/s10100-009-0096-0
   Web of Science ®Google Scholar
• Alparslan Gök , SZ , Miquel , S and Tijs , S . 2009 . Cooperation under interval uncertainty . Math. Methods Oper. Res. , 69 : 99 – 109 .
   Web of Science ®Google Scholar
• Branzei , R , Dimitrov , D and Tijs , S . 2003 . Shapley-like values for interval bankruptcy games . Economics Bull. , 3 : 1 – 8 .
   Google Scholar
• Branzei , R , Dimitrov , D and Tijs , S . 2008 . Models in Cooperative Game Theory , Germany : Springer .
   Google Scholar
• Branzei , R , Mallozzi , L and Tijs , S . 2010 . Peer group situations and games with interval uncertainty . Int. J. Math. Game Theory, Algebra , 19 : 381 – 388 .
   Google Scholar
• Carpente , L , Casas-Méndez , B , García-Jurado , I and van den Nouweland , A . 2008 . Coalitional interval games for strategic games in which players cooperate . Theory Decision , 65 : 253 – 269 .
   Web of Science ®Google Scholar
• Charnes , A and Granot , D . 1973 . Prior solutions: Extensions of convex nucleolus solutions to chance-constrained games , Iowa State University, USA : Proceedings of the Computer Science and Statistics Seventh Symposium . pp. 323–332
   Google Scholar
• Granot , D . 1977 . Cooperative games in stochastic characteristic function form . Manag. Sci. , 23 : 621 – 630 .
   Web of Science ®Google Scholar
• Harsanyi , J . 1959 . A bargaining model for the cooperative n-person game . Ann. Math. Study , 40 : 325 – 355 .
   Google Scholar
• Kimms , A and Drechsel , J . 2009 . Cost sharing under uncertainty: An algorithmic approach to cooperative interval-valued games . BuR–Business Res. , 2 : 206 – 213 .
   Google Scholar
• Moore , R . 1979 . “ Methods and Applications of Interval Analysis ” . In SIAM Studies in Applied Mathematics , Philadelphia : SIAM .
   Google Scholar
• Moretti , S , Alparslan Gök , SZ , Branzei , R and Tijs , S . 2011 . Connection situations under uncertainty and cost monotonic solutions . Comput. Oper. Res. , 38 : 1638 – 1645 .
   Web of Science ®Google Scholar
• Owen , G . 1972 . Multilinear extentions of games . Manag. Sci. , 18 : 64 – 79 .
   Web of Science ®Google Scholar
• Peters , H . 2008 . Game Theory: A Multi-Leveled Approach , Germany : Springer .
   Google Scholar
• Shapley , LS . 1953 . A value for n-person games . Ann. Math. Stud. , 28 : 307 – 317 .
   Google Scholar
• Suijs , J , Borm , P , De Waegenaere , A and Tijs , S . 1999 . Cooperative games with stochastic payoffs . Eur. J. Oper. Res. , 113 : 193 – 205 .
   Web of Science ®Google Scholar
• Timmer , J . Cooperative behaviour, uncertainty and operations research, Center diss. Series, Tilburg, 2001
   Google Scholar
• Timmer , J , Borm , P and Tijs , S . 2003 . On three Shapley-like solutions for cooperative games with random payoffs . Int. J. Game Theory , 32 : 595 – 613 .
   Web of Science ®Google Scholar
• Timmer , J , Borm , P and Tijs , S . 2005 . Convexity in stochastic cooperative situations . Int. Game Theory Rev. , 7 : 25 – 42 .
   Google Scholar
• Young , HP . 1985 . Monotonic solutions of cooperative games . Int. J. Game Theory , 14 : 65 – 72 .
   Google Scholar