Axiomatization and implementation of a class of solidarity values for TU-games

Beal Sylvain; Remila Eric; Solal Philippe

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Axiomatization and implementation of a class of solidarity values for TU-games

机译：TU游戏的一类团结值的公理化和实现

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A new class of values combining marginalistic and egalitarian principles is introduced for cooperative TU-games. It includes some modes of solidarity among the players by taking the collective contribution of some coalitions to the grand coalition into account. Relationships with other class of values such as the Egalitarian Shapley values and the Procedural values are discussed. We propose a strategic implementation of our class of values in subgame perfect Nash equilibrium. Two axiomatic characterizations are provided: one of the whole class of values, and one of each of its extreme points.

机译：结合了边际主义和平等主义原则的一类新的价值观被引入了合作式TU游戏。通过考虑某些联盟对大联盟的集体贡献，它包括参与者之间的某些团结模式。讨论了与其他类值的关系，例如平等主义Shapley值和过程值。我们提出在子博弈的完美纳什均衡中对我们的价值类别进行战略实施。提供了两个公理化的特征：一整类值，以及每个极端值。

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来源
《Theory and Decision》 |2017年第1期|61-94|共34页
作者
Beal Sylvain; Remila Eric; Solal Philippe;
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作者单位

Univ Bourgogne Franche Comte, CRESE EA3190, F-25000 Besancon, France;

Univ St Etienne, CNRS, UMR 5824, GATE Lyon St Etienne, St Etienne, France;

Univ St Etienne, CNRS, UMR 5824, GATE Lyon St Etienne, St Etienne, France;

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原文格式 PDF
正文语种 eng
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关键词
TU-games; Solidarity; Null player; Egalitarian Shapley value; Procedural values; Implementation;

机译：TU游戏;团结;虚无玩家;平等的Shapley值;过程值;执行;

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1. Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations [J] . Beal Sylvain, Casajus Andre, Remila Eric, Annals of Operations Research . 2021,第1期

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2. AXIOMATIZATIONS OF A CLASS OF EQUAL SURPLUS SHARING SOLUTIONS FOR TU-GAMES [J] . RENE VAN DEN BRINK, YUKIHIKO FUNAKI Theory and Decision . 2009,第3期

机译：TU游戏的一类均等剩余共享解决方案的公理化
3. A simplified method of interval-valued solidarity values for a special class of interval-valued cooperative games [J] . Ye Yin-Fang, Li Deng-Feng Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2018,第3期

机译：一种简化的一类间隔估值的合作游戏的间歇性团结值的简化方法
4. An Axiomatization of Shapley Values of Games on Set Systems [C] . Aoi Honda, Yoshiaki Okazaki International Conference on Modeling Decisions for Artificial Intelligence(MDAI 2007); 20070816-18; Kitakyushu(JP) . 2007

机译：集系统上游戏的Shapley值的公理化
5. An axiomatization of common -sense geometry [D] . Donnelly, Maureen Bridget 2001

机译：常识几何的公理化
6. Family state class and solidarity: re-conceptualising intergenerational solidarity through the grounded theory approach [O] . Virpi Timonen, Catherine Conlon, Thomas Scharf, 2013

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7. Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games [O] . 2009

机译：TU游戏的一类平等剩余分配解决方案的公理化
8. Consistency a la Hart and Mas-Colell of Efficient, Linear, and Symmetric Values211 for TU-games [R] . Driessen, T. S. H., Radzik, T. 1998

机译：用于TU游戏的高效，线性和对称值的哈特和mas-Colell的一致性

Axiomatization and implementation of a class of solidarity values for TU-games

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