Uniform Approach to Semi-Marginalistic Values for Set Games.

机译：集合游戏半边际价值观的统一方法。

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Concerning the solution theory for set games, the paper focuses on a family of solutions, each of which allocates to any player some type of marginalistic contribution with respect to any coalition containing the player. Here the marginalistic contribution may be interpreted as an individual one, or a coalitionally one. For any value of the relevant family, an axiomatization is given by three properties, namely one type of a monotonicity property. We present two proof techniques, each of which is based on the decomposition of any arbitrary set game into a union of either simple set games or elementary set games, the solutions of which are much easier to determine. A simple respectively elementary set game is associated with an arbitrary, but fixed item of the universe respectively coalition.

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Driessen, T. S. H.; Sun, H.;
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年度 2001
页码 1-20
总页数 20
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Game theory; Set games; Cooperative games; Solutions; Values; Axiomatization; Players; Proof techniques; Decomposition; Theorems; Foreign technology; Semi-marginalistic values;

机译：博弈论;集合博弈;合作博弈;解决方案;价值观;公理化;运动员;证明技术;分解;定理;国外技术;半边际价值观;

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专利

1. Semi-marginalistic values for set games [J] . Sun H, Driessen T International Journal of Game Theory . 2006,第2期

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2. Set-valued dynamic systems and random iterations of set-valued weaker contractions in uniform spaces [J] . Wlodarczyk K, Obczynski C, Wardowski D Journal of Mathematical Analysis and Applications . 2006,第2期

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3. Generalized uniform spaces, uniformly locally contractive set-valued dynamic systems and f?xed points [J] . Kazimierz W?odarczyk, Robert Plebaniak Fixexd point theory and applications . 2012,第1期

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4. An approach for incremental maintenance of approximations in set-valued ordered decision systems while updating criteria values [C] . Luo Chuan, Lu Lixia, Li Tianrui, 2013 Joint IFSA World Congress and NAFIPS Annual Meeting . 2013

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5. Single valued and set valued integrals in locally convex spaces. [D] . Davis, Steven Louis. 1987

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6. A Robust and Powerful Set-Valued Approach to Rare Variant Association Analyses of Secondary Traits in Case-Control Sequencing Studies [O] . Guolian Kang, Wenjian Bi, Hang Zhang, 2017

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7. A uniform approach to semi-marginalistic values for set games [O] . Driessen T.S.H., Sun H. 2001

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8. Potential Approach to Solutions for Set Games. [R] . Driessen, T. S. H., Sun, H. 2001

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Uniform Approach to Semi-Marginalistic Values for Set Games.

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