کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
480088 | 1644955 | 2013 | 6 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Consistency for the additive efficient normalization of semivalues Consistency for the additive efficient normalization of semivalues](/preview/png/480088.png)
This paper contributes to consistency for the additive efficient normalization of semivalues. Motivated from the additive efficient normalization of a semivalue being a BB-revision of the Shapley value, we introduce the BB-reduced game which is an extension of Sobolev’s reduced game. Then the additive efficient normalization of a semivalue is axiomatized as the unique value satisfying covariance, symmetry, and BB-consistency. Furthermore, by means of the path-independently linear consistency together with the standardness for two-person games, the additive efficient normalization of semivalues is also characterized. Accessorily, the additive efficient normalization of semivalues is directly verified as the linear consistent least square values (see Ruiz et al., 1998).
► The BB-reduced game is defined and extension of Sobolev’s reduced game.
► BB-reduced and path-independent linear reduced game only coincide on Sobolev’s case.
► The additive efficient normalization of semivalues is characterized by BB-consistency.
► The ESE-value is characterized by path-independently linear consistency.
► The relationship between ESE-values and the least square values is derived.
Journal: European Journal of Operational Research - Volume 224, Issue 3, 1 February 2013, Pages 566–571