کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
480836 | 1446104 | 2011 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Power and potential maps induced by any semivalue: Some algebraic properties and computation by multilinear extensions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Power and potential maps induced by any semivalue: Some algebraic properties and computation by multilinear extensions Power and potential maps induced by any semivalue: Some algebraic properties and computation by multilinear extensions](/preview/png/480836.png)
چکیده انگلیسی
The notions of total power and potential, both defined for any semivalue, give rise to two endomorphisms of the vector space of cooperative games on any given player set where the semivalue is defined. Several properties of these linear mappings are stated and the role of unanimity games as eigenvectors is described. We also relate in both cases the multilinear extension of the image game to the multilinear extension of the original game. As a consequence, we derive a method to compute for any semivalue by means of multilinear extensions, in the original game and also in all its subgames, (a) the total power, (b) the potential, and (c) the allocation to each player given by the semivalue.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Operational Research - Volume 211, Issue 1, 16 May 2011, Pages 148–159
Journal: European Journal of Operational Research - Volume 211, Issue 1, 16 May 2011, Pages 148–159
نویسندگان
Francesc Carreras, José Miguel Giménez,