Complete games with minimum

被引:0
作者
J. Freixas
M.A. Puente
机构
来源
Annals of Operations Research | 1998年 / 84卷
关键词
Cooperative Game; Characteristic Invariant; Simple Game; Winning Coalition; Veto Player;
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摘要
Some real-world examples of simple games, like the procedure to amend the Canadian Constitution, are complete simple games with minimum. Using characteristic invariants for this class of games, we study different types of solution concepts. For an arbitrary number of players we get the nucleolus by means of a determinate compatible system of equations, characterize the maximality of the kernel and give a method to calculate semivalues. Several applications are found at the end of the paper.
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页码:97 / 109
页数:12
相关论文
共 23 条
[1]  
Aumann R.J.(1965)A method for computing the kernel of Mathematics of Computation 19 531-551
[2]  
Peleg B.(1996)-person games Math. Social Sciences 32 139-155
[3]  
Rabinowitz P.(1965)Complete simple games Nav. Res. Log. Quart. 12 223-259
[4]  
Carreras F.(1981)The kernel of a cooperative game Math. of Oper. Res. 6 122-128
[5]  
Freixas J.(1959)Value theory without efficiency Math. Tables Aids Comput. 13 21-28
[6]  
Davis M.(1966)On the enumeration of majority games Pacific J. of Math. 18 289-328
[7]  
Maschler M.(1979)A characterization, existence proof and dimension bounds for the kernel of a game Math. of Oper. Res. 4 303-338
[8]  
Dubey P.(1974)Geometric properties of the kernel, nucleolus and related concepts International Journal of Game Theory 3 101-103
[9]  
Neyman A.(1992)A note on the nucleolus Math. of Oper. Res. 17 164-174
[10]  
Weber R.J.(1969)The nucleolus of matrix games and other nucleoli SIAM J. of Appl. Math. 17 1163-1170